Transformations of functions and domain

Transformations Of Functions And Domain

Answers

Answer 1

by looking at the graph given we can see that:

The graph is decreasing in (-∞, -5]The graph is increasing in [5, ∞)

And the function is never constant.

How to determine in which intervals the function increases, decreases or is constant?

Here our function is:

f(x) = √(x^2 - 25)

And we have a graph of it.

First, remember that the argument of a square root needs to be zero or larger, so the interval (-5, 5) is not in the domain of our function.

We also can see that this is a square root, so there are no interval where the function is constant.

Finally, by looking at the graph given we can see that:

The graph is decreasing in (-∞, -5]The graph is increasing in [5, ∞)

If you want to learn more about domains:

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Related Questions

Helpppppp
And elephant's heart beats 28 times per minute. Complete
the product to find how many times its heart beats in 30
minutes.
beats X
minutes =
beats
1 minute
1

Answers

Answer:

840 beats in 30 minutes

Step-by-step explanation:

if its 28 a minute than you just need to multiply that by the number of minutes

What is the slope of a line perpendicular to the line whose equation is
4x – 3y = –27. Fully reduce your answer.

Answers

Answer:

-3/4

Step-by-step explanation:

We can rearrange the equation to get 3y = 4x + 27. Then we can find the slope intercept form: y = 4x/3 +9. You find the perpendicular slope by solving for the opposite and reciprocal of the current slope 4/3. So we would get -4/3, and then -3/4.

Which value is closest to 0 on the number line?


A. 20

B. -21

C. |2|

D. |-3|

Answers

2

u r the very much welcome

Answer:

The answers C

Step-by-step explanation:

hope this helps

Suppose x = 9 is a solution to the equation f(x) = g(x). If a table of values for the equation y = f(x) contains an x-value of 9 and a corresponding y-value of 18, then which of these statements is correct about a table of values for the equation y = g(x)?


A
If it contains an x-value of 9, the corresponding y-value must be 9.

B
If it contains an x-value of 9, the corresponding y-value must be 18.

C
If it contains a y-value of 18, the corresponding x-value must be 9.

D
If it contains a y-value of 18, the corresponding x-value must be 18.

Answers

Answer:

I think it may be A

Step-by-step explanation:

Consider the matrices. What is the product of matrix PQ?

Answers

Answer:

Step-by-step explanation:

P = [tex]\left[\begin{array}{ccc}2&7\\3&0\\5&4\\-1&-3\end{array}\right][/tex]

Q = [tex]\left[\begin{array}{ccc}-4\\-3\end{array}\right][/tex]

PQ = [tex]\left[\begin{array}{ccc}2(-4)+7(-3)\\3(-4)+0(-3)\\5(-4)+4(-3)\\-1(-4)+(-3)(-3)\end{array}\right][/tex] = [tex]\left[\begin{array}{ccc}-29\\-12\\-32\\13\end{array}\right][/tex]

evaluate using the values given :
3 pm; use m = 4, and p = 3

Answers

Answer:

36

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Step-by-step explanation:

Step 1: Define

3pm

m = 4

p = 3

Step 2: Evaluate

Substitute:                   3(3)(4)Multiply:                       9(4)Multiply:                       36

I NEED HELP WITH BUMBER 3 PLEASE ASAP ILL LOVE U FOR EVER AND IF YOU CANT SEE THE WORDS VERY WELL THAN U CAN JUS ZOOM IN

Answers

Answer: i can't see it sorry to blery

Step-by-step explanation:

please help before it’s too late lol

Answers

Answer:

15625

Step-by-step explanation:

To multiply powers of the same base, add their exponents. Add 2 and 4 to get 6.

Calculate 5 to the power of 6 and get 15625.

32. Which of the following best describes the relationship between AABC and ADEF? (1 point)
B
E
A
TH
D
F
O AACBAFED
O AABC ADEF
O AABC AEFD
O AABC ADFE

Answers

Answer:

2) tri ABC is congreunt to tri DEF

Step-by-step explanation:

you would have to make sure you name the traingles in a specific order so the congruent angles in both triangles are listed in the same order :))

The option that best describes the relationship between AABC and ADEF is AABC ~ ADEF, the correct option is B.

What are similar triangles?

All similar triangles are triangles that share these two features presented as follows;

1. Congruent angle measures.

2. Proportional side lengths.

We are given that;

AB is similar to DE: BC is similar to EF; AC is similar to DF; ZA is similar to ZD; ZB is similar to ZE; ZC is similar to ZF.

Now,

The relationship between two similar triangles is that their corresponding angles are equal and their corresponding sides are proportional1. This means that if AABC and ADEF are similar, then:

∠A = ∠D

∠B = ∠E

∠C = ∠F

AB/DE = BC/EF = AC/DF

To describe this relationship, we can use a notation that shows which angles and sides correspond to each other. For example, we can write:

AABC ~ ADEF

This means that triangle ABC is similar to triangle DEF and the order of the letters shows how they match up. The first letter of each triangle corresponds to the first angle, the second letter corresponds to the second angle, and so on.

Therefore, by similar triangle properties the answer will be AABC ~ ADEF.

More can be learned about similar triangles at; brainly.com/question/14285697

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Easy math problems!!!!!!!!

Answers

Answer:

2√23

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Trigonometry

[Right Triangles Only] Pythagorean Theorem: a² + b² = c²

Step-by-step explanation:

Step 1: Define

We are given a right triangle. Therefore, we can use PT to solve for the missing length.

Step 2: Identify Variables

Leg a = √88

Leg b = 2

Hypotenuse c = x

Step 3: Solve for x

Substitute:                     (√88)² + 2² = x²Exponents:                    88 + 4 = x²Add:                               92 = x²Isolate x:                        √92 = xSimplify:                         2√23 = xRewrite:                         x = 2√23

Answer:

Mm did you do this already its been 4 days just want to make sureee

Step-by-step explanation:

the accompanying histogram shows the heights of the students in kyra's health class. what is the total number of students in the class

Answers

The total number of students is equal to 16 students.

We are given that the accompanying histogram shows the heights of the students in Kyra's health class.

A histogram is a graph that shows the frequency of numerical data with the help of rectangular bars.

The height of a rectangle (the vertical axis) represents the distribution frequency of a variable ( amount).

We need to calculate the total number of students in the class.

We can see that for the first interval, the frequency is given as:

F1 = 2

For the 2nd interval, the frequency is given as:

F2 = 4

For the 3rd interval, the frequency is given as:

F3 = 5

For the 4th interval, the frequency is given as:

F4 = 4

For the 5th interval, the frequency is given as:

F5 = 1

The total students = 2 + 4 + 5 + 4 + 1

Total number of students = 16 students.

Therefore, the total number of students is equal to 16 students.

Learn more about histogram here:

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please answer this. ty

Answers

Answer:

its 1

Step-by-step explanation:

Someone, please help me!! I don't understand

Answers

All triangle equal 180 degrees so add the 53 and 90 and it’s 90 because it’s a right triangle 53+90= 143 then subtract 143 from 190 so 190- 143= 47 so the missing degree is 47

this is an arithmetic progression. please help!

A graduate is required to pay his education loan of RM3960 in 24 monthly instalments, with the first instalment being RM 50. Subsequent instalments are increased by RM 10 each month. What is the amount of the last instalment?​

Answers

Answer:

The last installment is RM 280

=========================

Given

AP with:

The first term a = 50,Common difference d = 10,Number of terms n = 24.

Solution

Use the nth term equation of AP to find the last installment:

[tex]a_n=a_1+(n-1)d[/tex][tex]a_{24}=50+(24-1)(10) = 50+23*10=50+230=280[/tex]

Which of the following is divisible by 3?​

Answers

Answer:

108 and 150

Step-by-step explanation:

108/3=36

150/3=50

Help!!!!!! Triangle ABC and DEF are similar.
What is the scale factor?

Answers

Answer:

1.66666666667

Step-by-step explanation:

4/2.4 = 1.66666666667

All you do is choose two lenghts and divide to see what factor was used for the dilation.

Write the expression in simpliest form WILL GIVE GIVE BRAINLIEST
5 ( x - 1)

Answers

Answer:

5x-5

Step-by-step explanation:

pls give brainliest

Answer:

5x − 5

Step-by-step explanation:

Multiply x by 5, which will give you 5x

Then multiple 1 by 5, you get 5.

You end up with 5x - 5

my teacher tried to explain this to me but im still confused

Answers

600 mL corresponds to 15 teaspoons of sugar

That gives the ratio 600:15

Divide both parts of that ratio by 3 so we get to 200:5

Then multiply both parts by 10 to get 2000:50

This says 2000 mL, aka 2 liters, of soda has an estimated 50 teaspoons of sugar.

To convert from teaspoons to grams, we multiply by 4. This is directly from the equation of 1 teaspoon = 4 grams of sugar

So 50 teaspoons = 50*4 = 200 grams of sugar.

To go from grams to teaspoons, we divide by 4.

-----------------

To find the actual amount of sugar, you'll need to find a 2 liter bottle of soft drink and look at the nutrition facts label. You can search for the nutrition facts label online if you don't have a bottle near you. Keep in mind you're looking for the 2 liter plastic bottle version and NOT the 12 fluid-ounce can version.

Also, keep in mind that the nutrition facts label will list the amount of sugar per serving. This isn't the total sugar since it's just a small portion. Multiply the number of servings by the amount of sugar per serving.

Example: If there are 7 servings and 20 grams of sugar per serving, then that's a total of 7*20 = 140 grams of sugar total.

Side note: the amount of sugar will vary from brand to brand. However, they should all be in the same basic ballpark.

solve the equation
x^2+18x+81=25

Answers

Answer:

(x+9)(x+9)=25

Step-by-step explanation:

x^2+18x+81=25

or x^2+(9x+9x)+81=25

or x^2+9x+9x+81=25

or x(x+9)+9(x+9)=25

:: (x+9) (x+9) =25

the answer would be x=-4, -14

Unit rate of $99 for 15 movies

Answers

Answer:

6.60$ dollars per movie

Step-by-step explanation:

99/15=6.6

Answer:

$6.60

Step-by-step explanation:

[tex]\frac{99}{15}[/tex] = 6.60

Solve Ax − By = C for x

Answers

X=c/b+by/a I think that’s the answer

Find the slope of the line that passes through
(19,-2) and (-11, 10)

Answers

Slope = change in y / change in x

Slope = (10 - -2) / (-11 - 19)

Slope = 12/-30

Simplify to get:

Slope = -2/5

Please help me! For algebra 2 class. 45 points!
Using the Fundamental Theorem of Algebra, complete the following exercises. Show your work.

Determine how many, what type, and find the roots for f(x) = x4 + 21x2 − 100.
Determine how many, what type, and find the roots for f(x) = x3 − 5x2 − 25x + 125.
The following graph shows a seventh-degree polynomial:
(see attachment)
Part 1: List the polynomial’s zeroes with possible multiplicities.
Part 2: Write a possible factored form of the seventh degree function.

Without plotting any points other than intercepts, draw a possible graph of the following polynomial:
f(x) = (x + 8)3 (x + 6)2 (x + 2)(x − 1)3 (x − 3)4 (x − 6).

Answers

Answer:

1) There are four roots, with two real and two imaginary roots

The roots are x ±2, ±5·i

2) Therefore, there are 2 roots

The roots are real

The roots are x = -5 and x = 5

3) The possible factored form is therefore; (x + 5)²×(x + 1)×(x - 4)³×(x + 7)

4) Please see the attached graph of the function drawn with Microsoft Excel

Step-by-step explanation:

1) The given equations is as follows;

f(x) = x⁴ + 21·x² - 100

Let a = x², we have;

f(x) = a² + 21·a - 100

a = (-21 ± √(21² - 4 × 1 ×(-100))/(2 × 1)

a = -25 or 4

Therefore, x = √4 = ±2 or x = √(-25) = ±5·i

There are four roots, with two real and two imaginary roots

2) For f(x) = x³ - 5·x² - 25·x + 125

We have;

f(x) = x³ - 5·x² - 25·x + 125

From the equation, we see that x = 5 is a solution of the equation, therefore;

f(5) = 5³ - 5·5² - 25·5 + 125 = 0

Which gives, (x - 5) is a factor of the equation,

Dividing x³ - 5·x² - 25·x + 125 by (x - 5) gives;

x² - 25

(x³ - 5·x² - 25·x + 125)/(x - 5)

x³ - 5·x²

             [tex]{}[/tex]- 25·x

[tex]{}[/tex]                -25·x + 125

[tex]{}[/tex]                0          +  0

Therefore, by long division, (x³ - 5·x² - 25·x + 125)/(x - 5) = x² - 25

(x - 5)×(x² - 25) = (x - 5) × (x - 5) × (x + 5)

Therefore, there are 2 roots

The roots are real

The roots are x = -5 and x = 5

3) From the polynomial zeros, we have x = -5, x = -1, x = 4, and x = 7

At x = -5 the polynomial touches the x-axis given two real roots with (x + 5)² being a factor

With the root at x = -1, a factor is (x - 1)

With the root at x = 4 which has the shape of a cubic function, we have a factor of (x - 4)³

For the root at x = 1, the factor is taken as (x + 7)

The possible factored form is therefore; (x + 5)²×(x + 1)×(x - 4)³×(x + 7)

4) The given function is therefore;

f(x) = (x + 8)³(x + 6)²(x + 2)(x - 1)³(x - 3)⁴(x - 6)

(x + 8)³(x + 6)²(x + 2)(x - 1)³(x - 3)⁴(x - 6)

Please see the attached graph of the function drawn with Microsoft Excel

3. Stamps are sold in a 10 by 10 sheet. The total value of a sheet of stamps is $60.00.
a) Express the number of stamps as a power and in standard from​

Answers

Answer:

There is a total of 100 stamps, or 10² stamps.

Explanation:

10•10=100 (standard form)

100 can be written as 10² in scientific notation (power)

Will give you brainliest

Answers

Answer:

x = 36°

Step-by-step explanation:

m<RST + m<TSV = m<RSV

m<RST = 5x + 5

m<TSV = 46

RSV = 232

Plug in these values

5x + 5 + 46 = 232

5x + 51 = 232

5x = 181

x = 36.2, if rounding down;

x = 36°

Which expression could be used to determine the product of -4 and 342
o(-4)(3)(-4)
x (
0 (-4)(3) + (-4)
0 %)(-4)=(3 ()
(3)(-4) + (3)

Answers

Answer:

the second answer

Step-by-step explanation:

.........

The function p(t)=3(2)t represents the population of a certain type of bacteria after t days what is the population of the bacteria after 5 days

Answers

Answer:

p(5) = 30

Step-by-step explanation:

p(t) and if t=5 then p(5)

p(5) = 3(2)(5)

p(5) = 6(5)

p(5) = 30

Hope this helps and I hope u have an Amazing day!!

PLEASE ANSWER I NEED IT ASAP WILL AWARD BRAINLIEST AND GIVE POINTS!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

For 9:

1. Angle T and angle M are congruent because they are given

2. The line AH bisects angle THM because it is given

3. Angle 1 and angle 2 are congruent because of properties of angle bisection

4. The line AH is congruent to the line HA because of the reflexive property

5. Triangle TAH is congruent to triangle MHA because of AAS

6. The line TA is congruent to MA because of congruent triangles

For 10:

1. Angle H and angle J are congruent because it is given

2. G is the midpoint of FI because it is given

3. Angle 1 and angle 2 are congruent because they are vertical angles

4. Line HG is equal to line JG because of properties of midpoints

5. The triangles HIG and JFG are congruent because of AAS

6. The lines HI and JF are congruent because of congruent triangles

PLSSS HELP ANSWER, THE QUESTION IS IN THE SCREENSHOT

Answers

We know that f(x) is a positive, decreasing, and concave down function.

Therefore, the order, from least to greatest is:

right endpoint (since you're considering the smallest values)actual areamidpoint trapezoidalright endpoint

There are 10 crustaceans and 25 fish the deep blue tank has the same ratio of crustaceans to fish. There are 50 crustaceans in the deep blue tank.

Answers

Answer:

125

Step-by-step explanation:

C : F

10: 25

×5: ×5

50: ?

No. of fish in the tank = 25 × 5

                                    = 125

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