Topic 3 Part 2 Review

Is the following function even, odd, or neither?:

f(x) = 2x⁵ - 6x³ + 8x

• Even

• Odd

• Neither

Is the following function even, odd, or neither?

g(x) = |3x| - 7

• Even

• Odd

• Neither

What is the remainder when f(x) = 5x⁴ + 2x² - 6 is divided by (x + 2)?

Which of the following is NOT a potential rational zero of the following function:

f(x) = 6x³ + 4x - 12

• -4

Select ALL of the following transformations that take f(x) = x³ to g(x) = 2(x - 6)³

• Vertical stretch by a factor of 2

• Translation 6 spaces right

• Translation 2 spaces up

• Reflection over the x-axis

Give the positive complex root of the following function:

f(x) = x³ - 6x² + 25x - 150

Which function takes f(x) = x⁴, translates it 6 spaces up and compresses it vertically by a factor of 5?

Using the graph given, which of the following statements is true?

• The zero -1 has a multiplicity of 2.

• The zero -128 has a multiplicity of 1.

• The zero 2 has a multiplicity of 1

• The zero 4 has a multiplicity of 1