The Cubing Function

Question 1

Which is a cubic function?

Revolt · Accepted Answer

C: f(x) = 5x3 + 2x + 1

Question 2

The graph of the parent function f(x) = x3 is translated such that the resulting graph can be represented by the function g(x) = (x – 1)3 + 1. Which is the graph of g(x)?

Revolt · Accepted Answer

A:

Question 3

The function h(x) = (x – 3)3 + 1 is graphed on a coordinate grid. Which statements about the graph are true? Check all that apply.The domain of the function is all real numbers.The range of the function is all real numbers.The graph is a translation 3 left and 1 up from the function f(x) = x3.The graph crosses the y-axis once.The graph crosses the x-axis three times.The graph increases from negative infinity to positive infinity.

Revolt · Accepted Answer

A: The domain of the function is all real numbers.; B: The range of the function is all real numbers.; D: The graph crosses the y-axis once.; F: The graph increases from negative infinity to positive infinity.

Question 4

Which best describes the roots of the function h(x) = x3 – 4x2 – 3x + 18?

Revolt · Accepted Answer

C: 2 real number solutions

Question 5

Which are solutions to the equation x3 – 5x2 + 2x + 6 = 0? Round each solution to the nearest tenth. Check all that apply.x = –0.9x = 0.8x = 1.7x = 4.2x = 6.0

Revolt · Accepted Answer

A: x = –0.9; C: x = 1.7; D: x = 4.2

Question 6

The function f(x) = –x3 + 2x2 – x + 5 is graphed on a coordinate grid. Which statements accurately describe the end behavior of the graph of the function?

Revolt · Accepted Answer

A: As x approaches negative infinity, y approaches positive infinity. As x approaches positive infinity, y approaches negative infinity.

Question 7

The graph of the parent function, f(x) = x3, is translated such that the function g(x) = (x – 4)3 – 1 represents the new graph. Which transformations occurred?

Revolt · Accepted Answer

D: ✔ right 4

Question 8

up 1✔ down 1up 4down 4

Revolt · Accepted Answer

B: ✔ down 1

Question 9

Which values complete the translated function?

Revolt · Accepted Answer

: -2; : -4

Question 10

Which values complete the translated function?

Revolt · Accepted Answer

: 92375; : -4

The Cubing Function Answers

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