Question 1

Given the graph in Image 1 (Graph A), what is the domain and range of the function?

Accepted Answer

Domain: $$(−\infty, \infty)$$, Range: $$[−3, \infty)$$

Question 2

For the function graphed in Image 2 (Graph B), what is the range?

Accepted Answer

Range: $$[−4, \infty)$$

Question 3

On which interval is the function in Graph A increasing?

Accepted Answer

$$(−2, 1)$$

Question 4

Where is the function in Graph A constant?

Accepted Answer

$$(1, \infty)$$

Question 5

For the parabola in Graph B, on which interval is the function decreasing?

Accepted Answer

$$(−\infty, 1)$$

Question 6

For the parabola in Graph B, on which interval is the function increasing?

Accepted Answer

$$(1, \infty)$$

Question 7

Does the graph in Image 1 (Graph A) represent a function?

Accepted Answer

Yes, because it passes the vertical line test.

Question 8

What is the minimum value of the function in Graph B, and at what $$x-$$value does it occur?

Accepted Answer

Minimum value is $$-4 at$$ $$x = 1$$

Question 9

If $$f(x) is $$the function in Graph A, what is $$f(4)$$?

Accepted Answer

$$3$$

Question 10

Which of the following best describes the domain of the function in Graph B?

Accepted Answer

$$(−\infty, \infty)$$

Question 11

Suppose a real-world scenario is modeled by the function in Graph A, where $$x is $$time in hours and $$f(x) is $$temperature in $$^	ext{o}C. $$What does the constant interval for $$x \u003e 1$$ represent?

Accepted Answer

The temperature remains constant after 1 hour.

Question 12

If $$g(x) is $$the function in Graph B, which of the following statements is true?

Accepted Answer

$$g(x)$$ has exactly one minimum point.

College Algebra Exam 1 Study Guide: Equations, Inequalities, Functions, and Graphs

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