for piecewise funtion, find values g(-4), g(4), g(5) g(x)= {x+7, for X is less than or equal to 4  and  8-x, for X is greater than 4

Q: If f'(4) = 8, and g(x) = -2f(x), what is g'(4)? Do not include "g' (4) =" in your answer. For…

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Q: What is the symmetry of f(x) = 2x4 - 5x² +9? Select one: a. odd b. neither O C. even

A: Solution of given question is written in below steps.

Q: 3. Can you show for g(x) = that х-3 g(c) = -on the closed interval [-3, 2]? If so, find the value of…

A: Given: gx=xx-3, gc=-12;c∈-3,2 for finding value of c, where gc=-12 we put x=c in given function and…

Q: G2 Salve the follow ing inqualitie 3. 24\X+3< \x-8 12x-1) メ-2 く1 メ+3

A: Absolute value properties:  1. x ≤ a ⇔ -a ≤ x ≤ a 2. x≥a ⇔ x ≤ -a and x ≥ a Given: 1. 32x - 1≥4 2. x…

Q: What happened to the grap f(x) = -Ix • || • 2 f(x)

A: Please refer to the image below

Q: What is the end-behavior asymptote for f(x) = 2+2²43, Z+5 Enter the equation in the box.

A: Given rational function is fx=x3+2x2+3x+5 We know that a rational function has horizontal asymptote…

Q: Find the constant k so that : -x2 - (k + 7)x - 8 = -(x - 2)(x - 4)

A:

Q: r+6 = (2)6 Determine for each x-value whether it is in the domain of g or not. In domain Not in…

A: Given: The function g(x)=x+62g(x)=x2+3 Therefore,g(x) is a linear polynomial.

Q: Find the intervals of concavity and the inflection points for g(x)=x^4-54x^2+12x-4

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Q: snip

A: Given function is fx=-x2+4x+5. Vertex form of a quadratic equation is given as: fx=ax-h2+k, where…

Q: ollowing intogral: r 2x--x+1 dr

A:

Q: For g(x) = 6(9-x)+10, find g(2).

A: Given is g(x)= 6(9-x)+10 We find the value of g(2)

Q: 2- Find the extreme val

A: The function is given as fx,y=x2y and the equation of the ellipse is x22+y2=1. Simplify the equation…

Q: If f′(−9)=−4, and g(x)=6f(x), what is g′(−9)?Do not include "g′(−9)=" in your answer. For example,…

A: we have to find g'(x) at x=-9

Q: Given (x) = x² – 3 and g(x) =L-2, Find (g ° )(4). 11 13 6. 15 13

A: Given that: fx=x2−2gx=x+2x To find: g∘f4

Q: 30х3 + 31г? — 25х — 6 - Find the domain of f(x) = 123 59x2 – 11x + 30' -

A: Given :   f(x) = 30x3+31x2-25x-612x3-59x2-11x+30   To find : The domain of f(x).

Q: Given the funtions F(x)= 2x^2 +4x and G(x)= 2x +4   Then (GoF)(2)?

A: Given,     F(x)=2x^+4x and G(x)=2x+4     we have find (GOF)(2)

Q: Solve cquation for X C. 2-xa %3D

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Q: For the funcation f(x)=2-3x, find f(-4)

A: This question is based on Substitution.

Q: Find k (x) if k(x) = e" -x²/3 4 -3/2 3 Provide your answer below:

A: Given that,

Q: Use the Quotient Rule to differentiate K(x) = (2−x−√(x)) / (x+ 1)

A: K(x)=2-x-xx+1

Q: 6. F(- 1)*-\VR k² + 1 k = 1 8

A:

Q: The graph of f(x)3-x-5x+6 has the point (-8, 2) on it. O True O False

A:

Q: Given the following funclion, find f(-5). 0), and f(4). fx) =x -5 (-5)= (0) =D f(4) = O

A: Given function is fx=x2-5. We have to find the values of f-5,f0 and f4. In such cases we just put…

Q: The graph of f(x) = -x² - 5x+6 has the point (-8, 2) on it. O True O False

A: The function is given by fx = -x2-5x+6                                .........1 The point is  x, fx…

Q: If f' (4) = –4, and g(x) = 5f(x), what is g' (4)? Do not include "g'(4) =" in your answer. For…

A:

Q: 4. What is the greatest value in the range of f(x) = x - 3 for the domain {-3, 0, 1, 2}? F-3 H 2 D 6

A: Topic = Functions Correct option = I

Q: finding the vertical asympnotes for the following; g(x)=x+2/x2 -1

A:

Q: If g (2) = 12 and g'(x) 2 for 2 <xS 6, what is the smallest value g(6) can be? Why?

A: To find the smallest value of g(6)

Q: Graph the funčtión. - 5, if x21 f(x) = -1-x, if x<1 O A. OB. Oc. OD.

A: Given query is to graph the piece wise function.

Q: 3. What are the domain and range of z-1?

A: Solution

Q: Use the given information to find the value of the func 4. f'(x) = 3x2 - 1 and f(2) = -5. What is…

A: If you like the solution then please give it a thumbs up... The Answer is:        f(3) = 13

Q: X. The degree of f(x) is and the leading coefficient is

A: To determine the degree of the function from the graph, find the number of bumps in the graph.  The…

Q: A half-fraction 2^5-1 was chosen to be [X5]=[X1][X2][X3][X4] Set up a definition relation and use…

A: We construct half fraction of a 2(5-1) design X5 = [X1][X2][X3][X4]

Q: Find the value of k in the graph to the right. g(x) = 2* + k MEx) = 2* -10 -5 10 -5 -101 to

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Q: f 3x - 4 > 8, then x > 4

A: answer of given question is in step 2

Q: Given f-: x → x- 2 x*-1. x + 1 ' If f (k + 3) = 7, find the value of k. %3D

A:

Q: 3. Given f (x) = 5x² and g(x) = Vx – 3 , what is the domain of (f • g)(x)? Write your answer in…

A: f(x)=5x2, g(x)=x-3

Q: If g(x) = √100 - x^2 , where - 10 ≤ x ≤ 0, find A) g^-1 (x) B) the domain and range of g^-1

A: g(x)=100-x2y=100-x2x=100-y2x2=100-y2y2=100-x2y=-100-x2 [here 0≤x≤10]g-1(x)=-100-x2 , 0≤x≤10

Q: 14 if x3

A: First we have to draw the graph:

Q: For the funcgtions f(x)√4x-1 and g(x)=2x2 -5 find (g o f)(1.5)

A: gof(1.5)=g[f(1.5)]

Q: finod fe Par the fullowing funcbion (3-2X)x

A: The detailed solution is as follows below:

Q: The profit for a product is given by P(x) = 106x − 0.10x2 − 6,000, where x is the number of units…

A:

Q: k Σ 1+ 5k2 k=1

A: The equation of series is fx=x1+5x2

Q: The profit from manufacturing x items is given by P(x) = -0.5x2+65x- 15. Find AP on [25,26].

A:

Q: If f′(−3)=−10, and g(x)=−8f(x), what is g′(−3)?Do not include "g′(−3)=" in your answer. For example,…

A: To evaluate derivatives of constasnt times the given function

Q: Given that g(x) 2x + 5 simplify 2+ x g(x) - 9(-2) and write your FINAL ANSWER in the space provided…

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Q: If f' (2) = 6, and g(x) = 4f(x), what is g'(2)? Do not include "g'(2) =" in your answer. For…

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Q: domain for x is less than 0

A: We need to find the domain for x less than 0

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.