Graph functions expressed symbolically and show key features of the graph. Graph polynomial functions identifying zeros and end behavior. Graph rational functions identifying zeros and asymptotes. Graph exponential and logarithmic functions showing intercepts and end behavior.

Sample Practice Questions (3)

The graph shown below has

x

-intercepts at

(- 2, 0)

(1, 0)

, and

(3, 0)

. Which of the following equations could represent this function?

y = (x + 2) (x - 1) (x - 3)

y = (x - 2) (x + 1) (x + 3)

y = x (x + 2) (x - 1) (x - 3)

y = (x + 2)^{2} (x - 1) (x - 3)

The graph of a polynomial function

p (x)

is shown below with x-intercepts at points A, B, and C. Which equation could represent

p (x)

p (x) = x (x - 2) (x + 3)

p (x) = x (x + 2) (x - 3)

p (x) = (x - 2) (x + 3)

p (x) = - x (x - 2) (x + 3)

The graph of the polynomial function

f (x) = (x + 3) (x - 1) (x - 4)

is shown in the coordinate plane. Which statement correctly describes the end behavior and the zeros of the function?

AAs

x \to \infty, f (x) \to \infty

; the zeros are

- 3, 1, 4

BAs

x \to \infty, f (x) \to - \infty

; the zeros are

3, - 1, - 4

CAs

x \to \infty, f (x) \to \infty

; the zeros are

3, - 1, - 4

DAs

x \to \infty, f (x) \to - \infty

; the zeros are

- 3, 1, 4

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