Question 1

Given the graph of $$y = f(x)$$ shown, which of the following intervals describes where the function is increasing?

Accepted Answer

$$(-2, 0)$$

Question 2

Based on the graph of $$y = f(x)$$, what is the $$y-$$intercept of the function?

Accepted Answer

$$(0, 1)$$

Question 3

Which of the following is the correct set of $$x-$$intercepts for the function $$y = f(x) as $$shown in the graph?

Accepted Answer

$$x = -3, x = 1, x = 2$$

Question 4

Determine $$f(-2)$$ using the graph of $$y = f(x).$$

Accepted Answer

$$f(-2) = 0$$

Question 5

For which value of $$x$$ does $$f(x) = -1$$ according to the graph?

Accepted Answer

$$x = 1$$

Question 6

Which interval describes where the function $$f(x) is $$decreasing?

Accepted Answer

$$(-\infty, -2)$$

Question 7

What is the range of the function $$f(x) as $$shown in the graph?

Accepted Answer

$$[-2, 2]$$

Question 8

If $$f(x) is $$the function shown, which of the following statements is true?

Accepted Answer

$$f(x)$$ has a maximum value at $$x = -2$$

Question 9

Suppose the graph of $$y = f(x)$$ models the height (in meters) of a ball thrown into the air as a function of time $$x (in $$seconds). At what time does the ball reach its maximum height?

Accepted Answer

$$x = -2$$

Question 10

Which of the following best describes the end behavior of $$f(x) as$$ $$x 	o \infty$$?

Accepted Answer

$$f(x) 	o -\infty$$

Question 11

If $$f(x)$$ represents the profit (in dollars) of a company as a function of the number of products sold $$x$$, for which value of $$x$$ does the company break even?

Accepted Answer

$$x = -3$$

Question 12

Which of the following intervals describes where $$f(x) is $$negative?

Accepted Answer

$$(1, 2)$$

Analyzing Functions Using Graphs: College Algebra Review

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