evaluate the piecewise function

Evaluate The Piecewise Function

Answers

Answer 1

Answer:

f(-3)=-1

f(4)=7

f(-1)=-3

f(12) = -24

Step-by-step explanation:

Piecewise Functions

The piecewise functions define different pieces or subfunctions where the domain is divided into parts according to some conditions on the independent variable.

The pieces of the function are defined as shown below:

[tex]f(x)=\left\{\begin{matrix}-1 &x\le -2\\ 2x-1 &-2<x\le 4 \\ -3x+8 &x>4 \end{matrix}\right.[/tex]

Let's find the values of:

f(-3). Here the variable x is -3. We have to find the interval where x=-3 belongs. Since -3 ≤ -2:

f(-3)=-1

f(4). The variable x is 4 and it belongs to the second interval, thus

f(4)=2*4-1=7

f(4)=7

f(-1). x = -1. It belongs to the second interval, thus:

f(-1)=2*(-1)-1=-3

f(-1)=-3

f(12). x=12 belongs to the last interval since 12 > 4, thus:

f(12)= -3*12+8 = -36 + 8 = -24

f(12) = -24


Related Questions

pls help me answer this question if correct I'll make brainylist!!!​

Answers

Answer:

C. 11 3/4

Step-by-step explanation:

3 + 3 + 2 + 2 = 10

1/4 + 3/4 + 1/4 = 1 1/4

1/2 -> 2/4

2/4 + 1 1/4 = 1 3/4

10 + 1 3/4 = 11 3/4

Which expression is equivalent to 3^4 ⋅ 3−^9?

Answers

Answer:

3^-5 = 1/3^5

Step-by-step explanation:

3^4 ⋅ 3−^9

When multiplying exponents and the bases are the same, we can add the exponents

a^b * a^c = a^ ( b+c)

3^4 ⋅ 3−^9

3^( 4-9)

3^-5

We know that a^ -b = 1/a^b

3^-5 = 1/3^5

Answer:                                                                                                                                

3^4 times 3^9 = 3^4 times 1/3^9

Step-by-step explanation:

I dont know if this is right there were no answer choices.

all integers between -14 and 10​

Answers

Answer:

-13, -12, -11, -10, -9, -8, -7, -6, -5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5, 6, 7, 8, 9

Step-by-step explanation:

Maria cut 3/4 yard of ribbon into pieces that are 1/8 yard long. How many pieces of ribbon did Maria cut? PLEASE HELP MEEEEE!!!

Answers

Answer:

6 pieces

Step-by-step explanation:

|-7| - |-4| help plz

Answers

Answer:

it would be -3 i promise you this is the answer.

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Absolute value of any number is the positive version of that numberSimplify the expression: 7 - 47 - 4 = 3

I hope this helps!

Solve the absolute value equation. Check
for extraneous solutions.
a. |2x + 5 |= 11

Answers

Answer:

3

Step-by-step explanation:

|2x + 5| = 11

2x + 5 = 11

2x = 11 - 5

2x = 6

x = 3

What is the slope of the line containing the points (-8, 1) and (4,7)?

Answers

the slope of (-8,1) and (4,7) is 1/2

Which choices are in the solution set of the equation below? Check all that
apply.
10x = 30
A. 3.5
B. 1.5
C. 1
D1/3
E. 5
F. 3

Answers

F and D are the most reasonable choices!

4x3-5x2-17x-8 divided by x+1

Answers

Answer:

4x2 - 9x - 8

Step-by-step explanation:

Which of the following ordered pairs represents a solution to the equation below?
y = 3x−2

Answers

Answer:

(0,-2) (1,1) (2,4)

Step-by-step explanation:

Is X =5 a solution to the equation X -3x+10=5?− 3 x + 10 = 5 ?

Answers

Answer:

No; x=1.6

Step-by-step explanation:

An artist has completed
1
4
of a painting in 2 weeks. At what rate is she working?

Answers

Answer:

1 painting /8 weeks

Step-by-step explanation:

Answer:

1 full painting every 8 weeks

Step-by-step explanation:

she completed 1/4 every 2 week which is 0.25

if 0.25x4 =1  

so if you multiply 2x4 weeks= 8

HELP ME PLZZ I NEED HELP WITH THIS !!

Answers

Answer:

d

Step-by-step explanation:

!!!!! HELP PLS will mark brainliest

Answers

Anyways, the question isn't clear. Can you get a better screenshot?

Answer:

Domain, -1<x<=6

Range, -3<=y<=5

Step-by-step explanation:

Just trust me

What is the equation of the line y=4x-6

Answers

Answer:

B

Step-by-step explanation:

s= {(0,5), (-9,3) , (-8 , -8), (3, -9)
whats the domain

Answers

Answer:

0,-9,-8,3

Step-by-step explanation:

Domain

0

-9

-8

3

How do I add Rational Numbers I never really understand how my online school teaches it.

Answers

Answer:

1. To add or subtract rational expressions with unlike denominators, first find the LCM of the denominator. ...

2. Write each expression using the LCD. ...

3. Add or subtract the numerators.

4. Simplify as needed.

Find x to the nearest hundredth place.

Answers

Answer:

C.  24.27 cm

Step-by-step explanation:

sin 65° = opposite ÷ hypotenuse

sin 65° = 22/x

multiply both sides of the equation by x

(sin 65°)x = 22

divide both sides of the equation by sin 65°

x = 22 ÷ sin 65°

punch in 65 sin into your calculator

x = 22 ÷ 0.90631

x = 24.27 cm

so i need help with this question

Answers

Answer:

multiply both sides by 8

Step-by-step explanation:

I don't really know why I just know lol hope this helps

nine fourths divided by 3 fourths

Answers

the answer is the number three
I’ll help you if you help me

what 2 integers is the square root of 70 between?

Answers

70 is i between the integers 8 and 9.


Explanation:
√64=8 and √81=9, so the square root of 70 would go in between these two numbers.
Is In between 8 and 9

I need help pls!!!
It is really important for my high school assignment!

Answers

The answer for this is answer A

Answer

Step-by-step explanatio

clause A

what is 825 divided by 15?

Answers

it would be 55 you can type it in a calculator
The answer would be 55

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50.

Answers

Complete question:

Benjamin decides to treat himself to breakfast at his favorite restaurant. He orders chocolate milk that costs \$3.25$3.25dollar sign, 3, point, 25. Then, he wants to buy as many pancakes as he can, but he wants his bill to be at most \$30$30dollar sign, 30 before tax. The restaurant only sells pancakes in stacks of 444 pancakes for \$5.50$5.50dollar sign, 5, point, 50. Let SSS represent the number of stacks of pancakes that Benjamin buys. 1) Which inequality describes this scenario?

Answer:

Kindly check explanation

Step-by-step explanation:

Given that :

Cost of chocolate milk = $3.25

Cost of pancakes = $5.50 (stack of 4)

Number of stacks of pancakes purchased = S

Maximum amount spent ≤ $30

Cost of chocolate + (Cost of pancake stack * number of stacks) ≤ $30

3.25 + 5.50S ≤ 30

5.50S ≤ 30 - 3.25

5.50S ≤ 26.75

S ≤ 26.75 / 5.50

S ≤ 4.86

Hence maximum number of pancake stacks he can purchase without exceeding budget = 4

Hence total number of pancakes = number of stacks * number in a stack

= 4 * 4

= 16

Answer:

Chose option have answer 3.25+5.50S [tex]\leq[/tex] 30

16 pancakes

Step-by-step explanation: If you find answer from Khan please use this answer

3. Find the slope of the line through the given points.
a. (34, 15), (16, 30)

Answers

Answer:

Step-by-step explanation:

Distance

23.43074902772

Midpoint

(25,22.5)

Slope

−0.833333333333333

x intercept

52.00

y intercept

43.33

What’s the value of x

Answers

7x -1 + 9x + 5 = 180

16x = 180 - 5 + 1

16x = 176

x = 176/16

x = 11

Step-by-step explanation:

(7x-1)+(9x+5)=180 ( since its a straight line )

16x+4=180

x= 11

pls tell me how i should draw this

Answers

Answer:

scale drawing you should use a limited unit of measurement so you are not drawing actual scale of the kitchen use 1 to40

Solve the system of equations –4x – 4y = -8 and 3x + 7y = –18 by combining
the equations.

Answers

Answer:6 im not to sure

Step-by-step explanation:

13 + x - 5 + 4x + 2y
Coefficients:
Constants:
Like terms:
Help

Answers

Answer:

coefficients: 1, 4

like terms 13, -5 and 1x, 4x

constant: 13, 5

Find the distance between the following two points: *
(3,6) and (9,2)

Answers

Answer:

Step-by-step explanation:

(3 , 6 )      ;( 9 , 2)

Distance = [tex]\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}[/tex]

               [tex]= \sqrt{(9-3)^{2}+(2-6)^{2}}\\\\=\sqrt{6^{2}+(-4)^{2}}\\\\=\sqrt{36+16}\\\\=\sqrt{52}\\\\=\sqrt{2*2*13}\\\\=2\sqrt{13}[/tex]

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