Analyzing Graphs

Determine the intercepts.

(-1,0) (0,2)

Which intervals show f(x) decreasing? Check all that apply. [-2.5, -2] [-2, -1.5] [-1, 1) [1.5, 2] [2, 2.5) (2.5, 3]

1,2,4,5

Analyze the function's graph to determine which statement is true. Over the interval [-2.5, 0.5], the local maximum is 2. As the x-values go to positive infinity, the function's values go to negative infinity. The function is decreasing over the interval (-1, 0.75). The function is negative for the interval [-2, 0].

A. Over the interval [-2.5, 0.5], the local maximum is 2.

Which function is negative for the interval [-1, 1]?

B

Which statement is true about the given function? f(x) < 0 over the intervals (-, -2.7) and (0.8, ). f(x) < 0 over the intervals (-, -2.7) and(-1, 0.8). f(x) > 0 over the intervals (-, -2.7) and(-1, 0.8). f(x) > 0 over the intervals (-, -1) and(0.8, ).

B. f(x) < 0 over the intervals (-, -2.7) and(-1, 0.8).

The width of Maya's poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya's poster determined by its length (x). Which value of x makes sense for the length of Maya's poster? x < 0 x < 2 x > 0 x > 2

D. x > 2

Determine the x-intercepts of the function. Check all that apply. (-2, 0) (-1, -2) (0, 0) (1, 0) (2, 0)

(-2,0) (0,0)

Use the graph to find the local minimum and the local maximum for the given function. Over the interval [-3, 0], the local minimum is Over the interval [0, 3], the local maximum is Over the interval [0, 3], the local minimum is

-16.18 3.75 -3

Use the graph to determine which statement is true about the end behavior of f(x). As the x-values go to negative infinity, the function's values go to negative infinity. As the x-values go to negative infinity, the function's values go to positive infinity. As the x-values go to positive infinity, the function's values go to negative infinity. As the x-values go to positive infinity, the function's values go to zero.

B. As the x-values go to negative infinity, the function's values go to positive infinity.

The width of Maya's poster is 2 inches shorter than the length. The graph models the possible area (y) of Maya's poster determined by its length (x). Which describes what the point (2, 0) represents? The area is 2 if the length is 0. The area is 0 if the length is 2. The length is 2 if the width is 0. The width is 0 if the length is 2.

B. The area is 0 if the length is 2.