Composition of Functions and Modeling — Unit test Answers

Which statement best compares the graphs of y = –3xn and y = 3xn?

The equation of the piecewise function f(x) is below. What is the value of f(–2)?

A polynomial function has a root of –7 with multiplicity 2, a root of –1 with multiplicity 1, a root of 2 with multiplicity 4, and a root of 4 with multiplicity 1. If the function has a positive leading coefficient and is of even degree, which statement about the graph is true?

What is the end behavior of the graph of the polynomial function f(x) = –x5 + 9x4 – 18x3?

Consider the inverse function. Which conclusions can be drawn about f(x) = x2 + 2? Select three options.f(x) has a limited range.f(x) has a restricted domain.f(x) has an x-intercept of (2, 0).f(x) has a maximum at the point (0, 2).f(x) has a y-intercept at the point (0, 2).

Which of the following describes the graph of ?

The president of a company creates a graph of the price of the company’s stock over one year. He describes the graph as follows:• The price of the stock rose to about $17 before falling to about $3.• There have only been two periods during which the price of the stock decreased.• The price of the stock is expected to increase in the long run.Which graph correctly shows the price of the stock?

Suppose . Which value(s) of a would make the composite functions commutative?

Which best describes the end behavior of ?

How can the graphs of f(x) = and g(x) = be used to prove that f(x) and g(x) are inverse functions?

Suppose f(x) = 2(x + 1)2 and f(g(x)) = 2(2x + 4)2. What is g(x)?

Which statements comparing the graphs of function 1 and function 2 are true? Check all that apply.

Which expression is a possible leading term for the polynomial function graphed below?

For the function q(x) =, what is the inverse function?

Which of the following accurately lists all discontinuities of the function below?