Question 1

Which of the following points is 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 graph of $$y = -2x + 3$$?

Accepted Answer

$$(1.5, 0)$$

Question 8

Suppose you are using a graphing utility to create a table for $$y = -2x^2$ + 12. If$$ $$x = -2$$, what is the corresponding $$y$$ value?

Accepted Answer

$$y = 4$$

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 student enters $$y = -2x^2$ + 12$$ into a graphing utility but cannot see the vertex of the parabola. What adjustment should they make?

Accepted Answer

Increase $$Y_{max}$$

Question 11

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

Accepted Answer

The $$x-$$intercept is $$3$$

Question 12

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

Accepted Answer

Only plot the intercepts

Question 13

You are using a graphing utility in AUTO mode to create a table for $$y = -2x^2$ + 12$$ starting at $$x = -3$$ with an increment of $$1. $$What is the $$y$$ value when $$x = 0$$?

Accepted Answer

$$y = 12$$

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 real-world application: The height $$h (in $$meters) of a ball thrown upward is given by $$h = -5t^2$ + 20t + 1. $$What is the $$y-$$intercept of the graph of this equation?

Accepted Answer

$$(0, 1)$$

Question 16

Which of the following is a correct interpretation of the table for $$y = x^2$?

Accepted Answer

The graph is symmetric about the $$y-$$axis

Question 17

If you use the ZERO feature on a graphing calculator and find $$x = 2.52$$ for a function, what does this value represent?

Accepted Answer

The $$x-$$intercept

Question 18

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

Graphing Equations and Using Graphing Utilities in Precalculus

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