Question 1

Which of the following ordered pairs is plotted correctly in the rectangular coordinate system?

Accepted Answer

Move 3 units to the left and 2 units down to plot $$(-3, -2).$$

Question 2

Given the equation $$y = 2x + 1$$, which of the following points is a solution to the equation?

Accepted Answer

$$(1, 3)$$

Question 3

A graphing utility uses the viewing rectangle $$[-20, 20, 5] by$$ $$[-10, 10, 2]. $$What is the distance between consecutive tick marks on the y-axis?

Accepted Answer

$$2$$

Question 4

What is the x-intercept of the graph of the equation $$y = 3x - 6$$?

Accepted Answer

$$(2, 0)$$

Question 5

Which statement best describes the y-intercept of a graph?

Accepted Answer

It is the y-coordinate of the point where the graph crosses the y-axis.

Question 6

If the graph of $$d = 4n + 5$$ models the percentage $$d of $$marriages ending in divorce after $$n$$ years, what is the percentage after $$10$$ years?

Accepted Answer

$$45\%$$

Question 7

A point $$(x, y)$$ lies in the fourth quadrant of the rectangular coordinate system. Which of the following must be true?

Accepted Answer

$$x \u003e 0$$ and $$y \u003c 0$$

Question 8

Which of the following best describes the standard viewing rectangle on a graphing utility?

Accepted Answer

$$[-10, 10, 1] by$$ $$[-10, 10, 1]$$

Question 9

Suppose you are using a graphing utility and the graph appears squished vertically. What adjustment should you make to the viewing rectangle?

Accepted Answer

Increase the range of y-values.

Question 10

A real-world scenario: The cost $$C (in $$dollars) to produce $$x$$ units of a product is given by $$C = 5x + 200. $$What does the y-intercept represent in this context?

Accepted Answer

The fixed cost when no units are produced.

Question 11

Given the equation $$y = |x|$$, which of the following points lies on its graph?

Accepted Answer

$$(2, 2)$$

Question 12

If a graph passes through the point $$(0, 7)$$, what can you conclude?

Accepted Answer

The y-intercept is $$7.$$

Question 13

A graphing utility displays a graph with the viewing rectangle $$[-50, 50, 10] by$$ $$[-20, 20, 5]. $$What is the maximum y-value shown?

Accepted Answer

$$20$$

Question 14

Which of the following best describes the process for finding the y-intercept of the equation $$y = 2x - 8$$?

Accepted Answer

Set $$x = 0$$ and solve for $$y.$$

Question 15

If the equation $$d = 4n + 5$$ models the percentage $$d of $$marriages ending in divorce after $$n$$ years, what ordered pair represents the percentage after $$12$$ years?

Accepted Answer

$$(12, 53)$$

Question 16

Which of the following statements is true about the point $$(0, -4)$$?

Accepted Answer

It is the y-intercept of a graph.

Question 17

A company uses the equation $$R = 10x to $$model revenue $$R in $$dollars for selling $$x$$ items. What is the x-intercept of this equation?

Accepted Answer

$$(0, 0)$$

Question 18

Which of the following best describes the meaning of the origin in the rectangular coordinate system?

Accepted Answer

The point where $$x = 0$$ and $$y = 0.$$

Question 19

If a graph crosses the x-axis at $$(-5, 0)$$, what is the x-intercept?

Accepted Answer

$$-5$$

Question 20

A real-world scenario: The temperature $$T (in $$degrees Celsius) at time $$t (in $$hours) is modeled by $$T = -2t + 20. $$What is the temperature after $$5$$ hours?

Accepted Answer

$$10$$ degrees Celsius

Graphs and Graphing Utilities in College Algebra

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