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Chapter 3: Q. 345 (page 344)

(a) Graph the function f(x)=-2x+2.

(b) State its domain and range. Write the domain and range in interval notation.

Short Answer

Expert verified

Graph of the function is

Domain:(-鈭�,鈭�)Range:(-鈭�,鈭�)

Step by step solution

01

Given Information 

The equation of the function is

f(x)=-2x+2

02

Part(a) Step 1: Graph the given function 

Function f(x) is in the form of f(x)=mx+b

where m is the slope and b is the y intercept .

f(x)=-2x+2slope=-2yintercept=2

Plot the y intercept (0,2).

Now use the slope =-2

Move 2 unit down and 1 unit to the right .

Plot the point at (1,0). Connect the points by a line .

The graph of the function is

03

Part(b) Step 1: Domain and Range

Domain is the set of x values for which the function is defined.

The graph is defined for all x values .

Range is the set of y values for which the function is defined. The graph is defined for all y values .

Interval notation :

Domain:(-鈭�,鈭�)Range:(-鈭�,鈭�)

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Most popular questions from this chapter

In the following exercises, graph each function state its domain and range. Write the domain and range in interval notation.

f(x)=x2+2

a) Graph each function. b) State its domain and range. Write the domain and range in interval notation.

f(x)=2.

Find the intercepts of the graph

.

Graph the equationsy=2x,y=2.

Find the equation of the line shown in each graph and write the equation in slope-intercept form.
See all solutions

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