Which graph of f(x) satisfies the conditions Limit of f (x) as x approaches 2 minus = –4 and Limit of f (x) as x approaches 2 plus = 0? HURRY WILL GIVE BRAINLIEST FOR CORRECT ANSWER!!
Answers
The graph of f(x) that satisfies the condition of f(x)'s left sided limit at 2 being -4 and right sided limit at x = 2 being 0 is given by the first graph.
What is one-sided limit for function of single variable?In rough terminologies, the limit from one side is when we only use one side of the function with respect to the considered point of interest (in input) to predict the value of the function at that point.
For this case, we need to find the graph of the function f(x) from the considered 4 graphs for which:
[tex]\lim_{x\rightarrow 2^{-}}f(x) = -4\\\\\lim_{x\rightarrow 2^{+}}f(x) = 0\\[/tex]
For the first graph, for the point x=2, on left from the point x = 2 lies a ray. If thats the function, we can hope that the function will continue having the same line to the right too, so the prediction for value of function on x = 2 is the value that line gives for y.
That is -4.
Thus, prediction of function from left of x = 2 is -4, or
[tex]\lim_{x\rightarrow 2^{-}}f(x) = -4[/tex]
Similar to that, from the right of the point 2, there is some yellow curve. That predicts that the function's value at point x = 2 should be 0 (the yellow curve seems like touching the x-axis where y = 0 at the point x=2.
Thus, we have:
[tex]\lim_{x\rightarrow 2^{+}}f(x) = 0\\[/tex]
So graph first is correctly pertaining such function f(x).
Second graph when refered, we see that if we predict value at x =2 from left, the yellow curve in the left will make us predict that the function would be 0, so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = 0[/tex]
Thus, its wrong graph.
Third graph when refered, we see that if we predict value at x =2 from left, the green line in the left will make us predict that the function would be -2 at x = 2 (see the green point in the third graph), so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = -2[/tex]
Thus, its wrong graph.
Similarly, for the fourth graph, we see that if we predict value at x =2 from left, the yellow curve in the left will make us predict that the function would be 0, so: [tex]\lim_{x\rightarrow 2^{-}}f(x) = 0[/tex]
Thus, its wrong graph.
Thus, the graph of f(x) that satisfies the condition of f(x)'s left sided limit at 2 being -4 and right sided limit at x = 2 being 0 is given by the first graph.
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Answer:answer a
Step-by-step explanation: got right on edge 2023
Related Questions
can someon3 help me with this it like 4 or 5 minutes
Answers
Answer:
C. 360-85=12h
Step-by-step explanation:
360=85+12h
360-85=12h
If f ( x ) is a linear function, f ( − 5 ) = − 4 , and f ( 1 ) = − 1 , find an equation for f ( x )
Answers
Find the area of the rectangle with length 27 inches and width 40 inches. (1 point)
67 in. 2
134 in. 2
1,080 in. 2
10,800 in. 2
Answers
Answer:
1,080 square inches
Step-by-step explanation:
27 inches * 40 inches = 1,080 square inches
Given the endpoints of a segment, find the length of each segment.
A (-3, 7) and B (-5, 2)
Answers
Step-by-step explanation:
Using the distance formula
√(x1-x2)²+(y1-y2)²
√(-3+5)²+(7-2)²
√(2)²+(5)²
√4+25
√29 units
MARK ME AS BRAINLIST
Fill in the blanks as necessary.
(a) Kaitlin is deciding how many people to take to the movies. The table below
shows the cost for different sized groups of people.
Number in group
2
3
7
Cost (in dollars)
10
15
28
The cost for each person is not always the same.
The cost for each person appears to be the same.
Predicted number in group for a cost of $40:
Answers
Answer:
The cost for each person is not always the same.10 peopleStep-by-step explanation:
Number : 2 Cost : $10
Per person = 10/2 = $5Number : 3 Cost : $15
Per person = 15/3 = $5Number : 7 Cost : $28
Per person = 28/7 = $4⇒ The cost is not always the same per person.
⇒ Predicted number in a group for cost of $40 :
⇒ Since 7 costs $28 and if we use 8, it will be $5 per head but the price difference will be too large
⇒ 10 people is more reasonable at a rate of $4 per person
Find the perimeter of the figure.
Answers
Step-by-step explanation:
perimeter=(8cm×5)+24cm
=40cm+24cm
=64cm
Can somebody help me with my homework, I don’t get it, and I don’t know if I am correct
On Saturday, the school band marched from the school to the stadium. After the game, the band marched back to the school. How many blocks did the band match on Saturday?
Catelyn lives halfway between the park and the school. How far does she live from each?
Answers
Answer:
first one is correct second one is 6 and third one is 2 and a half
Answer:
If one counts the blocks on the graph from the school to the stadium and back, there are three blocks one way and three blocks going back.
Altogether 6 blocks.
If Catelyn lives halfway between the park and the school, the amount of blocks is 5.
She lives halfway between. Hence, what is 5 divided by 2?
2.5 or 2 1/2 blocks.
Step-by-step explanation:
if i had 10 apples how many apples do i have?
Answers
I hope that i helped
Answer:
10 apples
Step-by-step explanation:
if sin18=0.3090, cos 18=0.9511, sin 22=0.3746, and cos22=0.9272, then what is sin4
Answers
Answer:
[tex]0.6428[/tex]
Step-by-step explanation:
Using the addition formula for sine[tex]sin(x + y) = sinxcosy + cosxsiny[/tex]
[tex]sin40 = sin(18 + 22)[/tex]
[tex]= sin18cos22 + cos18sin22= (0.3090 * 0.9272) + (0.9511 * 0.3746)= 0.2865 + 0.3563= 0.6428[/tex]
tell whether the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function
Answers
Since the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function
How to find a linear function?The standard equation of a linear function is y = mx + b
where:
m is the slopee
b is the y-intercept
Using the coordinate point (1, 6) and (2, 9)
Find the slope
Slope = 9-6/2-1
Slope = 3/1
Slope = 3
For the y-intercept
Recall that y = mx + b
9 = 3(2) + b
b = 3
Determine the equation
y = 3x + 3
Since the resulting function has a leading degree of 1, hence the set or ordered pairs (1,6), (2,9), (3,12), (4,15) satisfies a linear function.
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Math 10 CP1 CR
What are the solutions to the equation 3(x – 4)(x + 5) = 0?
O x = -4 or x = 5
O x = 3, x = 4, or x = -5
O x = 3, x=-4, or x = 5
O x = 4 or x = -5
Answers
The solutions of the given equation are x = 4 or x = -5.
What is solution of an equation?The solution of a linear equation is defined as the points, in which the lines represent the intersection of two linear equations.
Given is an equation, 3(x – 4)(x + 5) = 0 we need to find the solution of the equation,
So, we can see that the equation is a quadratic equation, so it will have two solutions,
The equation is already in factored form,
So,
3(x – 4)(x + 5) = 0
Solution,
x-4 = 0
x = 4
x+5 = 0
x = -5
Hence, the solutions of the given equation are x = 4 or x = -5.
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The volume of a spherical balloon with radius 2.8 cm is about 92 cm^3. Estimate the volume of a similar balloon with radius 8.4 cm.
Answers
Step-by-step explanation:
it means the shape of the balloon is close to a sphere.
the volume of a sphere is
4×pi×r³
so, it bases on r³.
that means any scaling factor f between 2 similar balloons for the radius has to be multiplied in 3 times (once for every "r").
in our case we know
8.4 = 2.8 × f
f = 8.4 / 2.8 = 3
so,
large volume = small volume × f×f×f =
= small volume × f³ = 92×3³ = 92×27 =
= 2,484 cm³
a trader buys 200 oranges for 60 kobo and sells them at 8 for 12 kobo.what is his gain
Answers
Answer:
he gained 188 kobo for selling 200 oranges or 192 if the trader selled the oranges for 8 kobo
Step-by-step explanation:
given that (4,-8) is on the graph of f(x), find the corresponding point for the function. f(x+3)
Answers
Answer:
i believe it's (1,-8)
Step-by-step explanation:
you subtract the "+3," since it's really the opposite, from 4 to get 1. The -8 stays the same since the transformation doesn't affect the y's.
ohn drove from Miami to Atlanta, and the trip took him a total of 10 hours.
For 6 hours John’s average speed was 73 mph. His average speed on the remainder of the
trip was 67 mph. What was his average speed on the entire trip?
a) 70.8 mph
b) 70.6 mph
c) 69.4 mph
d) 68.2 mph
Answers
Answer:
b) 70.6
Step-by-step explanation:
To calculate average you need to add up all the numbers and divide by the quantity of numbers. They are calculating with mph, with ten hours, so there will be ten numbers. First you do 73 x 6 (6 because of 6 hours of 73 mph) which is 438. Then you do 67 x 4 which is 268. you add it up, then find a total of 706. Then you divide it by ten to find the answer 70.6
You need to arrange of your favorite books along a small shelf. How many different ways can you arrange the books, assuming that the order of the books makes a difference to you?
Question content area bottom
Part 1
enter your response here ways
(Type a whole number.)
Answers
Answer:
The answer is 8! ("eight factorial") = 8*7*6*5*4*3*2*1 = 40320, which is the number of permutations of 8 objects.
(8 ways to put the first book in the first place, then 7 ways to put the second book in the second place, then 6 ways to put the third book in the third place, and so on).
Can someone help me answer this question?
Answers
What is the right one
Answers
Answer:
Lower Left!!
Step-by-step explanation:
Because Gina doesn't have the total price, that makes it the unknown or "?" answer, with the price before tax obviously $300.00, and the tax being 8%. Therefore, it's the lower left option.
Anticipated consumer demand in a restaurant or free-range steaks next month can be modeled by a normal random variable with mean 1100 pounds and standard deviation 80 pounds. The probability is 0.015 that demand will be more than how many pounds?
1273.6
1250.53
926.4
946.8
Please guys can you help me in this please if you don’t know please don’t send for link or something for that
Answers
Help I have a d in this class
Answers
2. Elana's Family. Elana's Family.
Jonas started reading books to
kindergarten students at 3:20 P.M.
He finished reading at 4:30 P.M. How
long did he spend reading to the
kindergarten students?
A 60 minutes
B 70 minutes
C 80 minutes
D 90 minutes
Answers
NEED HELP ASAP
What is the slope of a line perpendicular to the line whose equation is 2x + 3y = 24. Fully simplify your answer.
Answers
The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,
⇒ m = - 2/3
What is Equation of line?The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
The perpendicular line is,
⇒ 2x + 3y = 24
Now,
Since, Product of slopes of perpendicular line are - 1.
So, We need to find the slope of the line.
Hence, Slope of the line is,
2x + 3y = 24
y = - 2/3x + 8
m = dy/dx = - 2/3
m = - 2/3
Thus, The slope of a line perpendicular to the line whose equation is 2x + 3y = 24 is,
⇒ m = - 2/3
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Sylvia applies two transformations to WXYZ shown below on the coordinate grid. She applies a reflection across the y-axis and then a rotation of 180° counterclockwise about the origin.
What are the coordinates of the final vertices of the two transformations?
coordinates: ________________________
Answers
The coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)
How to determine the final vertices?The coordinates of the polygon WXYZ are:
W = (-4,-1)
X = (-2,-1)
Y = (-2,-4)
Z = (-3,-2)
When reflected across the y-axis, the rule of transformation is:
(x,y) -> (-x,y)
So, we have:
W' = (4,-1)
X' = (2,-1)
Y' = (2,-4)
Z' = (3,-2)
When rotated by 180 degrees, the rule of transformation is:
(x,y) -> (-x,-y)
So, we have:
W" = (-4,1)
X" = (-2,1)
Y" = (-2,4)
Z" = (-3,2)
Hence, the coordinates of the final vertices of the two transformations are W" = (-4,1), X" = (-2,1), Y" = (-2,4) and Z" = (-3,2)
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The formula below is used to convert a temperature in degrees Fahrenheit, F, to a
temperature in degrees Celsius, C.
c=2 / IF
(F-32)
-
What is the temperature, in degrees Celsius, that is equivalent to a temperature of 40°F?
B
А 14-с
B 95C
C 4400
D 222
С
Answers
Answer:
C.4400
Step-by-step explanation:
The formula to convert Fahrenheit to Celsius (or Vice Versa) is,
F
=
(
9
C
5
)
+
32
Here C is the Temperature in Celsius Degrees and F is temperature in Fahrenheit Degrees.
Time for substitution
( 9C)
40 = ______ +32
5
I have put 40 instead of F because the value I have in hand is temperature in Farhenheit.
=> (40 -32) 5
________ = C
9
Then take all the constant term to one side and keep the variable on other side.
C = 4.4444444
C = 4400
Enter the correct answer in the box.
Write the expression 12-2 in simplest form.
Answers
Answer: 1/144 as a fraction
Step-by-step explanation:
Which of the following statements about closure is false?
Polynomials are closed under addition. When you add polynomials, the result will always be a polynomial.
Polynomials are closed under subtraction. When you subtract polynomials, the result will always be a polynomial.
Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
Polynomials are closed under multiplication. When you multiply polynomials, the result will always be a polynomial.
Answers
Using the concept of closure, it is found that the false statement is given by:
Polynomials are closed under division. When you divide polynomials, the result will always be a polynomial.
What is the closure of a polynomial?A polynomial is said to be closed under an operation if the operation always results in a polynomial. It holds true for the addition, subtraction and multiplication operations.
As for the division, if the degree of the numerator is lower than the degree of the denominator, the result of the division will have a negative exponent, which is not a polynomial, hence the division operation is not closed.
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I will give you 50 points and brainliest if you can answer this question
Use the equation 124⋅15=1,860 and what you know about fractions, decimals, and place value to determine where to place the decimal point when you compute (1.24)⋅(0.15).
1. Select the correct decimal location below.
2. Explain how you know
Answers
Answer:
The decimal stays in the same place and the answer is 0.186
Step-by-step explanation:
3×+4y÷2 for x=7 and y=10
PLEASE HELPPP
Answers
Answer:
41
Step-by-step explanation:
(3*7)+(4*10)/2
(21)+(40)/2
Bidmas means you do 40/2 first
21+20=41
equivalent expression for 6(a+b)
Answers
Answer:
6a + 6b
Step-by-step explanation:
Use Distributive property: a( b +c) =(a *b) +(a*c)
6(a + b) = 6*a + 6*b
= 6a+ 6b
Rearrange the equation so x is the independent variable. -4x-6=-5y+9 y=
Answers
-4x-6=-5y+9y
-4x-6= 4y
-4x= 4y+6
4x=-4y-6
x= (-4y-6)/4