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Chapter 3: Q. 342 (page 344)

(a) Graph the functionf(x)=2x+5

(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 

Given function isf(x)=2x+5

02

Part(a) Step 1:  Graph the given function 

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+5slope=2yintercept=5

Plot the y intercept (0,5). Now use the slope =2

Move 2 units up and 1 unit to the right .

Plot the point at (1,7). 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 .

Domain : (-鈭�,鈭�)

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

Range:(-鈭�,鈭�)

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Most popular questions from this chapter

Graph the equations

(a) x=5

(b)y=-4

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

f(x)=鈭�x

In the following exercise, determine the most convenient method to graph each line

x-y=1

Find the intercepts of the equationx-y=-4.

Find the intercepts of the equation5x-y=5.
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