Classify this relation as direct, inverse, or neither. On Sarah's 16 GB flash drive, she can fit 16 video clips of about 1 GB each, two movies of about 8 GB each, or 4000 songs of about 4 MB each. O A Inverse; there is a constant product of 8 GB. B Inverse, there is a constant product of 16 GB. OC Direct; the ratio of corresponding x- and y-values is constant. D. Neither

Q: Given f(x) = x + 8, which equation represents the inverse, g(x)? %3D g(x) = 2x - 8 1. g(x) = 2x – 16…

A:

Q: If h(x) = 4+ 3f(x), where f(5) = 4 and f'(5) = 5, find h'(5).

A: given function :

Q: Evaluate the function h(x) = x3 - x + 1 at the given values of the independent variable a. h(3) b.…

A: a). Put x = 3 in h(x), we get b). put x = -2 in h(x), we get

Q: If f(x)= x – 4 and g(x)= Vr – 2; which of the following is equal to (x)? х-2 x - 4«/x – 2) х — 2 O…

A:

Q: If f(x) = x² – 1, h= 0.25, then the forward difference A f(2.25) :

A: Given:  f(x)=x2-1, h = 0.25

Q: The r-intercept of the linear function f(x) = 9x + 13 is O 4.98 O -1.44 O 4.78 O -7.41 O -1.52

A:

Q: Find the inverse of the linear function f(x) = mx + b, m + 0

A: Given: y=f(x)=mx+b Given function is equivalent to y=mx+b Now by using y=fx Now we interchange x and…

Q: 1. Find the inverse of each relation 1. y = 3x2

A:

Q: Determine whether each relation represents y as a function of x. That is, solve for y? x=3x+5/7y-1

A: Simply do the cross multiplication and simplify.

Q: Find b, if the function f(x) = x². a) 1 b) -1 c) 0 d) 2

A: Given: f(x)=x2

Q: Evaluate the function at the given values of the independent variable and simplify : h(x) = x4 - x2…

A: Given function is

Q: Suppose f is a linear function such that f(4) = 8 and f(7) = 2. Find the equation for f.

A:

Q: determine whether the relation represents y as a function of x. y=−2x2+40x

A: Giveny=−2x2+40x

Q: Represent the following equation functions. (a) (r – h)² + (y – k)² = r²

A: We have given an equation (x-h)2+(y-k)2=r2. Represent given equation as vector valued function.

Q: If f(x) is a linear function such that f(-2) = 4 and f(3) = 14, which of the following could…

A: If f(x) is a linear function such that f(-2) = 4 and f(3) = 14, which of the following could…

Q: 20. Write an equation for the following linear function in the form: y=mx+b

A: This problem is related to stright line and we solve this using standard equation of straight line.

Q: If f(x) = x-1, what is the ordered pair for x = -2 ?

A:

Q: Select all ordered pairs that satisfy the function y=4x+3. O (-1-1) O (2, 11) O (4,7) D (7,1)

A: Consider the given function. y=4x+3 The objective of the problem is to find the ordered pairs which…

Q: For the piecewise linear function, find (a) f(-4), (b) f(-2), (c) f(0), (d) f(3), and (e) f(4). 3x…

A: Given f(x) = 3x if x≤-2x-4 if x>-2we find (a)  f(-4)    (b) f(-2) ,     (c) f(0) ,…

Q: 19. Write an equation for the following linear function in the form: y=mx+b 54-3

A: In this question we have to write an equation in the form of y=mx+b, where m is slope and b is y…

Q: The domain of the inverse is the same as the ________ of the relation, and the rangeof the inverse…

A: Consider two sets a and b, We know that "a" has a set of value x which maps to "b" which has y=f(x).…

Q: Graph the following linear functions using x-intercept and y- intercept | 1. f(x) = 3x +3 2. f(x) =…

A: As no particular question is asked , so I am solving first three To find x- intercept , put f(x) = 0…

Q: Which of the following functions are linear? 1 a. y = 5x +4 b. 2x +4y = 14 c. y = c. y=4 Select all…

A: Linear function has form of y = ax +b a,b are constant

Q: Select all of the following tables which could represent a linear function. z f(z) -5 10 15 25 755

A:

Q: If f(x) is a linear function, f(−5)=3, and f(3)=5, find an equation for f(x)

A:

Q: Given the function y = -5X2 a) Indicate the values of a, b) Graphically represent an

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Determine the domain and range for the relation. S = {(x,y)|x ER and y E z}

A: S={(x,y)|x∈ℝ and y∈ℤ}

Q: Determine the inverse equation for each quadratic function a) f(x) = - (x + 1)² – 3 for x 2 -1 b)…

A: a) Let the function be, y=-x+12-3 ; x≥-1 Solve for the inverse as follows, Swap the variables x and…

Q: Evaluate the function at each specified value of the independent variable and simplify. (If an…

A:

Q: If f(z) = 6z – 7 and g(z) = ²+, (a) f(g(z)) = (b) g(f(z)) (c) Thus, g and f are functions.

A:

Q: Which of the following functions are linear?  Select all that apply.   a. The function that assigns…

A: The functions in which x to the power is 1 only those are  linear.

Q: Note: Enter your answer and show all the steps What is the inverse of the given relation? y = 3x +…

A:

Q: Evaluate the function h(x) = x4 - x2 + 1 at the given values of the independent variable a. h(2) b.…

A: a). Put x = 2 in h(x), we get b). Put x = -1 in h(x), we get

Q: given the function y=4logb(x+b^5)+3b, where b is some positive constant, which of the following…

A: The given data is: y=4logbx+b5+3b, where b is some positive constant. To find the value of the…

Q: Let P (x) = 2x - 15a + az?+ bx + c, where a, %3D Given that (x - 5) is a factor of P (r), find a…

A: It is given that,  P(x) = 2x4 - 15x3 + ax2 + bx + c It is given that, (x - 5) is a factor of P(x).

Q: Complete the table of values for the given function.

A: A function is a relation between an input variable and an output variable wherein each input…

Q: Draw the following functions: +2 2. + y 1 4.x-r'

A: We have to draw the graph of the given function.

Q: Determine h' (x) when it is given that [h(2x)] 16

A:

Q: If f is a linear function for which f(4) = −13 and f(−4) = 19, find f(3).

A:

Q: Find an equation of the inverse relation. x'y= -5 O B. y= -5x O D. yx=5 Choose the correct equation…

A: Given function is x3y=-5 To find inverse function. Solution: Steps to find inverse function: 1.…

Q: If f(x) is a linear function, f( – 2) = – 4, and f(2) = 1, find an equation for f(x) f(x) =

A:

Q: determine whether the relation represents y as a function of x. 2x+y2=6

A: Given: 2x+y2=6

Q: Let f be a linear function. If f ( 2 ) = 13, and f ( 12 ) = 8, what is the value of f ( 10 ) ?

A: Given : f be a linear function. f2 = 13f12 = 8

Q: Determine the domain and range for the relation. R = {(x, y)|x E R and y = 2x} %3!

A:

Q: If p(x) ab and q(x) = cb*, which function represents (pq)(x) ?

A:

Q: If f is a linear function for which  f(4) = −1  and  f(−4) = 15,  find  f(6).   f(6) =

A:

Q: Determine whether the equation represents y as a function of x: 10. y = 4 – x² 11. 4xy = 16 %3D 12.…

A: use the definition of function.

Q: If F(x) = f(g(x), where f(-2) = 8, f'(-2) = 4, f'(5) = 3, g(5) = - 2, and 9'(5) = 6, find the value…

A: Given that: F(x)=f[g(x)], where f-2=8, f'-2=4 , f'5=3, g5=-2,  and g'5=6. Apply chain Rule of…

Q: For the piecewise linear function, find (a) f( – 3), (b) f( – 2), (c) f(0), (d) f(2), and (e) f(5).…

A: A piecewise function is a function which has different output functions  with respect to the inputs…