Question 1

Which of the following points lies on the graph of the equation $$2x - y = 6$$?

Accepted Answer

$$(2, -2)$$

Question 2

Given the equation $$y = -2x + 3$$, what is the $$y-$$intercept of its graph?

Accepted Answer

$$(0, 3)$$

Question 3

Which of the following best describes the graph of $$y = x^2$?

Accepted Answer

A parabola opening upward

Question 4

If you want to graph $$6x^2 + 3y = 36$ using a graphing utility, what is the correct form to enter for y$?

Accepted Answer

$$y = -2x^2$ + 12$$

Question 5

A graphing utility is set to the standard viewing window. What are the typical values for $$X_{min}$$ and $$X_{max}$$?

Accepted Answer

$$X_{min} = -10$$, $$X_{max} = 10$$

Question 6

Which feature on a graphing calculator automatically adjusts the $$Y_{min}$$ and $$Y_{max} to $$fit the graph for a given $$X_{min}$$ and $$X_{max}$$?

Accepted Answer

ZOOM-FIT

Question 7

What is the $$x-$$intercept of the line $$y = -2x + 3$$?

Accepted Answer

$$(1.5, 0)$$

Question 8

Suppose you use a graphing utility to create a table for $$y = -2x^2$ + 12$$ starting at $$x = -3$$ with an increment of $$1. $$What is the value of $$y$$ when $$x = 0$$?

Accepted Answer

$$12$$

Question 9

Which of the following statements about intercepts is TRUE?

Accepted Answer

The $$x-$$intercept is where $$y = 0$$ and the $$y-$$intercept is where $$x = 0.$$

Question 10

A real-world scenario: The height $$h (in $$meters) of a ball thrown upward is modeled by $$h = -4.9t^2$ + 20t + 1.5$$, where $$t is $$time in seconds. What is the $$y-$$intercept of this graph and what does it represent?

Accepted Answer

$$h = 1.5$$, the initial height

Question 11

Which of the following is NOT a correct step when graphing an equation by plotting points?

Accepted Answer

Only plot points where $$x = y.$$

Question 12

If a graphing utility is in ASK mode for creating a table, what must the user do?

Accepted Answer

Enter each $$x$$ value manually to get the corresponding $$y$$ value.

Question 13

Given the equation $$y = -2x^2$ + 12$$, what happens to the graph if you increase $$Y_{max}$$ from $$10 to$$ $$12 in $$the viewing window?

Accepted Answer

The top portion of the graph becomes visible.

Question 14

Which of the following best describes the process of finding intercepts from a graph?

Accepted Answer

Find where the graph crosses or touches the coordinate axes.

Question 15

A graphing utility is used to approximate the $$x-$$intercept of $$y = x^3$ - 16. $$The calculator gives $$x \approx 2.52. $$What does this value represent?

Accepted Answer

The $$x$$ value where the graph crosses the $$x-$$axis.

Question 16

Which of the following is a reason to use a table of values when graphing an equation?

Accepted Answer

To determine an appropriate viewing window for the graph.

Chapter 1: Graphs – Introduction to Graphing Equations and Graphing Utilities

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