Question 1

Which of the following points is located 3 units to the left of the origin and 5 units above the origin in the rectangular coordinate system?

Accepted Answer

$$(-3, 5)$$

Question 2

Given the equation $$y = 4 - x^2$, what is the y-intercept of its graph?

Accepted Answer

$$y = 4$$

Question 3

A graphing utility is set to a viewing rectangle of $$[-20, 20, 2] by$$ $$[-10, 10, 1]. $$What is the distance between consecutive tick marks on the x-axis?

Accepted Answer

$$2$$

Question 4

Which ordered pair is a solution to the equation $$y = |x + 1|$$?

Accepted Answer

$$(0, 1)$$

Question 5

If a graph crosses the x-axis at $$(5, 0)$$ and the y-axis at $$(0, -3)$$, what are the x- and y-intercepts?

Accepted Answer

x-intercept: $$5$$, y-intercept: $$-3$$

Question 6

A researcher models the percentage $$d of $$marriages ending in divorce after $$n$$ years for high school graduates with $$d = 1.8n + 14. $$What percentage ends in divorce after $$10$$ years?

Accepted Answer

$$32	ext{	extpercent}$$

Question 7

Which statement best describes the meaning of the ordered pair $$(-4, 2) in $$the rectangular coordinate system?

Accepted Answer

Move 4 units left and 2 units up from the origin.

Question 8

Which of the following is NOT a solution to the equation $$y = 4 - x^2$?

Accepted Answer

$$(3, 2)$$

Question 9

A graphing utility displays a window with $$X_{	ext{min}} = -50$$, $$X_{	ext{max}} = 50$$, $$Y_{	ext{min}} = -100$$, $$Y_{	ext{max}} = 100$$, and $$Y_{	ext{scl}} = 20. $$What is the distance between consecutive tick marks on the y-axis?

Accepted Answer

$$20$$

Question 10

If the point $$(a, b)$$ lies on the graph of $$y = |x + 1|$$, which equation must be true?

Accepted Answer

$$b = |a + 1|$$

Question 11

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

Accepted Answer

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

Question 12

A graphing utility is set to a standard viewing rectangle of $$[-10, 10, 1] by$$ $$[-10, 10, 1]. $$What is the maximum y-value displayed?

Accepted Answer

$$10$$

Question 13

Which of the following points is in Quadrant III of the rectangular coordinate system?

Accepted Answer

$$(-2, -3)$$

Question 14

If the graph of an equation passes through $$(0, 7)$$, what does this tell you about the graph?

Accepted Answer

The y-intercept is $$7$$

Question 15

A biologist models the population $$P of a $$species after $$t$$ years with $$P = 500 - 20t^2$. What is the population after t = 4$ years?

Accepted Answer

$$180$$

Question 16

Which of the following is the correct definition of an x-intercept?

Accepted Answer

The x-coordinate of a point where the graph crosses the x-axis

Question 17

If $$y = 4 - x^2$, for which value of x$ does y$ reach its maximum?

Accepted Answer

$$x = 0$$

Question 18

A graphing utility displays a window with $$X_{	ext{min}} = -100$$, $$X_{	ext{max}} = 100$$, $$X_{	ext{scl}} = 50. $$How many tick marks will appear on the x-axis between $$X_{	ext{min}}$$ and $$X_{	ext{max}} ($$not including the endpoints)?

Accepted Answer

$$3$$

Question 19

Which of the following points is NOT a solution to $$y = |x + 1|$$?

Accepted Answer

$$(2, 1)$$

Graphs and Graphing Utilities in Precalculus

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