Question 1

Which of the following best describes the symmetry of the function shown in the first graph?

Accepted Answer

The function is neither even nor odd; it is not symmetric about the y-axis or the origin.

Question 2

What is the domain of the function shown in the first graph?

Accepted Answer

The domain is $$(-\infty, \infty).$$

Question 3

What is the range of the function shown in the first graph?

Accepted Answer

The range is $$[-4, \infty).$$

Question 4

For the function in the first graph, at which x-value does the relative minimum occur, and what is the minimum value?

Accepted Answer

The minimum occurs at $$x = 2$$ and the minimum value is $$-4.$$

Question 5

Which intervals is the function in the first graph increasing?

Accepted Answer

The function is increasing on $$(2, \infty).$$

Question 6

Which intervals is the function in the first graph decreasing?

Accepted Answer

The function is decreasing on $$(-\infty, 2).$$

Question 7

Is the function in the first graph a function according to the vertical line test?

Accepted Answer

Yes, because no vertical line intersects the graph more than once.

Question 8

For the function in the second graph, which of the following best describes its symmetry?

Accepted Answer

The function is odd; it is symmetric about the origin.

Question 9

What is the domain of the function shown in the second graph?

Accepted Answer

The domain is $$(-\infty, \infty).$$

Question 10

What is the range of the function shown in the second graph?

Accepted Answer

The range is $$(-\infty, \infty).$$

Question 11

For the function in the second graph, at which x-value does the relative minimum occur, and what is the minimum value?

Accepted Answer

The minimum occurs at $$x = 3$$ and the minimum value is $$-2.$$

Question 12

Which intervals is the function in the second graph increasing?

Accepted Answer

The function is increasing on $$(-\infty, -3)$$ and $$(3, \infty).$$

Question 13

Which intervals is the function in the second graph decreasing?

Accepted Answer

The function is decreasing on $$(-3, 3).$$

Question 14

Is the function in the second graph a function according to the vertical line test?

Accepted Answer

Yes, because no vertical line intersects the graph more than once.

Question 15

For the function in the second graph, what are the x-intercepts?

Accepted Answer

The x-intercepts are $$x = -3$$ and $$x = 1.$$

Question 16

For the function in the second graph, what is the y-intercept?

Accepted Answer

The y-intercept is $$y = 1.$$

College Algebra Test 2 Review – Step-by-Step Guidance

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