Question 1

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

Accepted Answer

$$(0, 0)$$

Question 2

If a point is located at $$(4, -2) in $$the rectangular coordinate system, how do you plot it?

Accepted Answer

Move 4 units to the right and 2 units down from the origin.

Question 3

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

Accepted Answer

$$(2, 3)$$

Question 4

Given the equation $$y = |x + 1|$$, what is the $$y-$$intercept of its graph?

Accepted Answer

$$(0, 1)$$

Question 5

A graphing utility is set to the viewing rectangle $$[-100, 100, 50] by$$ $$[-100, 100, 10]. $$What does the '50' represent?

Accepted Answer

The distance between consecutive tick marks on the $$x-$$axis.

Question 6

Which of the following statements is true about the $$x-$$intercept of a graph?

Accepted Answer

It is the $$x-$$coordinate where the graph crosses the $$x-$$axis and the $$y-$$coordinate is zero.

Question 7

Given the equation $$d = 4n + 5$$, which models the percentage $$d of $$marriages ending in divorce after $$n$$ years, what is $$d$$ when $$n = 15$$?

Accepted Answer

$$65$$

Question 8

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

Accepted Answer

$$5$$

Question 9

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

Accepted Answer

$$(1, 2)$$

Question 10

A student uses a graphing utility with the window $$[-10, 10, 1] by$$ $$[-10, 10, 1]. $$What is the range of $$y-$$values displayed?

Accepted Answer

$$-10 to$$ $$10$$

Question 11

Which real-world scenario can be modeled by the equation $$d = 4n + 5$$?

Accepted Answer

The percentage of marriages ending in divorce after $$n$$ years when the wife is under 18 at the time of marriage.

Question 12

If a graph passes through the point $$(-3, 0)$$, what does this tell you about the graph?

Accepted Answer

$$-3 is an$$ $$x-$$intercept.

Question 13

Which of the following best describes the process of graphing an equation using the point-plotting method?

Accepted Answer

Select values for $$x$$, compute corresponding $$y$$ values, plot the points, and connect them.

Question 14

Which of the following is true about the ordered pair $$(x, y) in $$the rectangular coordinate system?

Accepted Answer

The $$x-$$coordinate represents the horizontal distance from the origin, and the $$y-$$coordinate represents the vertical distance.

Question 15

A graphing utility displays a window with $$Xmin = -100$$, $$Xmax = 100$$, $$Xscl = 50$$, $$Ymin = -100$$, $$Ymax = 100$$, $$Yscl = 10. $$How many tick marks will appear on the $$x-$$axis?

Accepted Answer

5

Question 16

If the equation $$y = |x + 1| is $$graphed, what is the vertex of the graph?

Accepted Answer

$$(-1, 0)$$

Question 17

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

Accepted Answer

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

Question 18

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

Accepted Answer

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

Question 19

Which of the following is NOT a correct interpretation of the graph of $$d = 4n + 5$$?

Accepted Answer

The graph is a parabola opening upwards.

Graphs and Graphing Utilities in Precalculus

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