3.4.3 Pre-Cal Graphing Polynomial Functions

What is the maximum number of turns in the graph of this function? f(x) = 4x^3 - 12x^2 - x + 15

2

What is the local maximum of the function? g(x) = 3x^3 + 3x^2 - 30x + 24

-2.2 (WRONG)

State the y-coordinate of the y-intercept for the function below f(x) = x^3 -9x

0

For the function below, state the x-coordinate of the x-intercept that is located to the right of the origin. f(x) = x^3 - 9x

3

The function f(x) = 3x^3 + x^2 + 2x rises as x grows very small.

False

Which description means the same as this limit expression?

The graph falls on the left side (WRONG)

The function f(x) = 3x^3 + x^2 + 2x rises as x grows very large.

True

The function whose graph is shown below has the following characteristics. Two absolute minima One relative maximum

True

The root x = 1 has multiplicity 2 for the function f(x) = x^3 - x^2 - x + 1

True

Which function could be shown in the graph below?

f(x) = x^5 - 3x^2 + 2x