Modeling with Quadratic Equations — Unit test

Question 1

Which statements correctly describe the graph of the function f(x) = x3 – 2x2 – 19x + 20? Select three options.As the x-values increase, the y-values always increase. As x approaches negative infinity, y approaches negative infinity.The domain of the function is all real numbers.The range of the function is y 20.The graph has a positive y-intercept.

Question 2

The parent function f(x) = x3 and a translation, g(x), are shown on the graph.

Revolt · Accepted Answer

g(x) = (x + 4)3 + 6

Question 3

The function s(V) = describes the side length, in units, of a cube with a volume of V cubic units. Jason wants to build a cube with a minimum of 64 cubic centimeters.What is a reasonable range for s, the side length, in centimeters, of Jason’s cube?

Revolt · Accepted Answer

s 4

Question 4

Which best describes the graph of the cubic function f(x) = x3 + x2 + x + 1?

Revolt · Accepted Answer

As x increases, y increases along the entire graph.

Question 5

The function f(x) = is reflected over the x-axis to create the graph of g(x) = .Which is the graph of g(x)?

Revolt · Accepted Answer

On a coordinate plane, a cube root function goes through (negative 8, 2), has an inflection point at (0, 0), and goes through (8, negative 2).

Modeling with Quadratic Equations — Unit test Answers

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