Given the function f, match the function g with a transformation of f.f(x) = x2 - 3, g(x) = 16x2 - 3
A. f(x) + 4
B. 4f(x)
C. f(x + 4)
D. f(4x)
Answer: D
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Simplify using the laws of exponents.5(rt)6
A. 5r6t6 B. 5r6t C. 5rt6 D. 56r6t6
Analyze the graph of the given function f as follows:(a) Determine the end behavior: find the power function that the graph of f resembles for large values of |x|.(b) Find the x- and y-intercepts of the graph.(c) Determine whether the graph crosses or touches the x-axis at each x-intercept.(d) Graph f using a graphing utility.(e) Use the graph to determine the local maxima and local minima, if any exist. Round turning points to two decimal places.(f) Use the information obtained in (a) - (e) to draw a complete graph of f by hand. Label all intercepts and turning points.(g) Find the domain of f. Use the graph to find the range of f.(h) Use the graph to determine where f is increasing and where f is decreasing.f(x) = -2(x - 1)(x + 3)3
What will be an ideal response?
For the given function, find all asymptotes of the type indicated (if there are any)f(x) = 
, horizontal
A. y = x B. y = 0 C. y = 9 D. None
Solve the problem.The function f(x) = x3 describes the volume of a cube, f(x), in cubic inches, whose length, width, and height each measure x inches. Find the instantaneous rate of change of the volume with respect to x when x = 3 inches.
A. 27 cubic inches per inch B. 9 cubic inches per inch C. 27.91 cubic inches per inch D. 81 cubic inches per inch