Graphing Polynomial Functions

Practice Questions

Algebra II › Graphing Polynomial Functions

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1

For the graph below, match the graph b with one of the following equations:

$y= x^{2}$

$y = (x-2)^{2}$

$y = (x+3)^{2}$

$y = -(x-2)^{2} -2$

Parabola

2

Which of the graphs best represents the following function?

$f(x)=\frac{9}{10}x^2-7x+2$

3

$f(x)=x^{4}-3x^{3}-11x^{2}+3x+10$

Where does the graph of cross the axis?

4

How many -intercepts does the graph of the function

$f(x) = x^{2} + 7x - 9$

have?

5

$Find\ the\ end\ behavior\ for \ the\ function\ f(x)=-x^3+5x^2-2x+7$

6

is a polynomial function. , .

True, false, or undetermined: has a zero on the interval .

7

Try without a calculator.

The graph with the following equation is a parabola characterized by which of the following?

8

How many -intercepts does the graph of the following function have?

$f(x)= -4x^{2}+ 12x - 9$

9

is a polynomial function. , and has a zero on the interval .

True or false: By the Intermediate Value Theorem,

10

The vertex of the graph of the function

$f(x)= -4x^{2}+ 12x - 9$

appears ________

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