The power function y= ax is shown graphed below. Which of the following must be true about the values of a and b? (1) a must be negative and b must be odd (2) a must be even and b must be negative (3) a must be positive and b must be odd (4) a must be odd and b must be positive

Q: 5. Describe the graph of the function at its roots: f(x 2) (x + 6) (x + 12) a. At x = 2, the graph…

A: To describe the graph of the given function on the given roots.

Q: A power function with form y = axP passes through the points (3, 972) and (6, 31104). Find the…

A:

Q: 3. (a) Which of the following functions have 5 in their domain? (x) = x? - 3x x - 5 g(x) = h(x) = Vx…

A: Given,  fx=x2−3x               gx=x−5x          hx=x−10

Q: f and g are the functions whose graphs are shown, and h(a) = f(x)g(x), find h' (2). %3D

A: Given: hx=fxgx The graph of functions f and g are shown as To find: h'(2)=? Used formulas:…

Q: following relation. - 6y + VI = 5x + (x – 3)² Evaluate the function found in the previous step at x…

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Q: The functionf and g are given by f (x) = 3e2x and g(x) = 2 In(5x +1)

A: f(x)=3e2x g(x)=2ln(5x+1) fog(x)=f(g(x))=f(2ln(5x+1)) =3e2.2ln(5x+1)

Q: Which of the following describes the function -x+ 1? O The degree of the function is even, so the…

A: We have to use properties of the function to solve the problem

Q: 5. Find the exact solutions: x²-3x+6=0 6. Given f(x)=x-5 and g(x) = -2x²+ 4, find the composite…

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Q: II. Given the function g defined by g(x) = -* if x*-2 4. if x=-2 Find the value of the indicated…

A: at x=-2, function is defined as:g(x)=-4;       if x=-2ANSWER 14:g(-2)=4

Q: 12. Which of the following is true about the graph of the function, y= (x-2)³(x-1)*(x+4)? A. The…

A: Given function is  y=x−23x−14x+4

Q: The function f(1) = – 5x? 11r 6 has a Select an answer of %3D - Soloct an answer

A:

Q: 1.Given f (*) = and g(*) = 16x* + &x + 1, a) Write the function f (n(9(*)). h(x) = VF,

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Q: Consider the function h(x)=-2(x+1)^2-3 State the parent function as well as the tranformation done…

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Q: For the function f(x)=2x4 / x4 state if a power function. If​ so, write it in the form f=kxp If not…

A: Power functions are functions of the form f(x) = kxp where p is any real number and k is non-zero.

Q: Give a formula for a function y = ƒ(x) and shows the graphs of ƒ and ƒ -1. Find a formula for ƒ -1…

A: f(x) = x3 - 1   Inverse of x3-1A function g is the inverse of function f if for y=fx,  x=gy…

Q: Suppose (-1,3) lies on the graph of f(x). Find the correspon of each of the following functions:…

A: It is given that, point (-1,3) lies on the graph f(x)  so f(-1)=3  ................(1)

Q: Is the function m(x) 14(2*) a power function? If it is, write it in the form m(x) = kx² and enter…

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Q: ƒ (x) = − ½-|x| − 14x^8 +7   is this a function if so how and why

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Q: The function h is defined as follows. h (x) = 2x² - 3 If the graph of h is translated vertically,…

A: The given function h is, hx=2x2-3

Q: The domain of the function f= sech(3- is (22, A). Then The value of k= The value of A =

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Q: 9. Find the difference quotient for the function g(x)=- then simplify. x-1'

A: The difference quotient will be given by: [g(x+h) - g(x)] / h

Q: For the base function f(x) = x2 , a reflection in the y-axis is followed by a reflection in the…

A: The graph of y=-f(x) is the reflection of the graph of y=f(x) across the​ x-axis. The graph of…

Q: Find the domain of the functions f(x) = V(2 – x)(x – 7) and g(æ) = In(r² – 4)(3– æ). Also determine…

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Q: F(x) = 1 -. What is the only value of x not in the domain 5л + 5

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Q: The graph of f(x) x° + 5x – 2 is shown below. 10 -4 -3 -2 -1 3 4 -2 -4 -5 =7 =8 =10- -H+ Estimate…

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Q: Let f(x) = 3x'+3x° + 6x° + 7x² – x – 7x* – 2° + 8. (a) Identify the degree. (b) Identify the power…

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Q: Find all values of 0, if 0 is in the interval [0°, 360°) and has the given function value. 2/3 Csc…

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Q: The graph of a function defined for x20 is given. y (a) Complete the graph for x<0 to make an even…

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Q: Find the values of A, so that the function F (x) = {1-3x                         x 4    is…

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Q: 1. The power function y= ax is shown graphed below. Which of the following must be true about the…

A: Graph.

Q: See attached

A: The given function:

Q: 4 if x -3 Step 1 of 3: Identify the general shape and direction of the graph of this function on…

A:

Q: How has the function g(x), shown below, been transformed from the parent function, f(x) = x2? g(2) =…

A: Given: Function is f(x)=x2 After transformation g(x)=-65x2

Q: The function g is related to one of the parent functions described in ah earller g(x) = |x – 1| + 5

A:

Q: 2. Let -x2 12x – 32, x 6 2 (a) Sketch the graph of f. (b) Identify the domain, range, and zeros of…

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Q: 4 if x < -3 k(x) = Vĩ if x 2 -3 2 of 3: Identify the general shape and direction of the graph of…

A: On the interval [-3, infinity) k(x) = (7/8)(x)1/3

Q: The function h is defined as follows. x-7 h(x) = 2. x+10x+16 Find h (-5). Simplify your answer as…

A: Given h(x)=x-7x2+10x+16we find h(-5)

Q: 19. Find the domain and range of f(x) = 2e-x +1

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Q: --2- 0 --2- Use cursor to interact with graph -2- The graph of a polynomial fu f(x) is shown. Which…

A: Zeros of the graph x=-1,x=0,x=2 Polynomial should be in the form f(x)=xa(x+1)b(x-2)c where a,b,c≥1…

Q: Suppose that g(r) = 4x + 4 and h(x) = 16x² - 32x – 25. Find a function f. such that Ag(x)) = h(x).…

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Q: 5. Describe the graph of the function at its roots: f(x) = (x – 2)(x + 6)2(x + 12) a. At x = 2, the…

A: The function f(x)=x-23x+62x+12. We have to describe the graph of the function at its roots.

Q: Which ONE of the following is NOT a power function: x2 + 1 Y = 3x² 1

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Q: Find the differnce quotient with steps  use the function f(x)= x^2-16 and using formula…

A: Given that f(x)=x^2-16 differnce quotient f(x+h)-f(x)/h

Q: 2. Find the domain of the following function. State your answer in interval notation. 2х- 1 + vx 2.…

A: Given function:

Q: Question 2x - 8 For the function g(x) = evaluate g(2). 6x + 6 Provide your answer below: g(2) =

A:

Q: Which of the following statements is not true? 1) The graph of an odd function is symmetrical about…

A: 1. As when graph of a function is symmetric about y-axis then it is an even function. But in option…

Q: For the family of functions y = ae (circle all that apply) + bæ, which of the followings are true?…

A: Given y=ae-x+bx

Q: 1. Given the function f(x) = 20 √7-x find f (-9). "

A: The given function is: fx=207-x    ...1

Q: Let h(x) = f(x)g(x). If f(x) = 3x² + 2x 3 and g(æ) = ² + 4x + 2, what is h' (-2)? Do not include "h'…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.