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Chapter 3: Q. 346 (page 344)

(a) Graph the function

f(x)=-3x+3

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

Short Answer

Expert verified

The graph of the function is

Domain:(-鈭�,鈭�)Range:(-鈭�,鈭�)

Step by step solution

01

Given Information 

Graph the function

f(x)=-3x+3

02

Part(a) Step 1: Graph the 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)=-3x+3slope=-3yintercept=3

Plot the y intercept (0,2).

Now use the slope =-3

Plot the y intercept (0,3)

Move 3 unit down and 1 unit to the right .

Plot the point at (0,1). 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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