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Chapter 3: Q. 341 (page 344)

(a) Graph the function f(x)=3x+4.

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

Short Answer

Expert verified

The graph of f(x) is

domain:(-鈭�,鈭�)Range:(-鈭�,鈭�)

Step by step solution

01

Given Information 

Given function is

f(x)=3x+4

02

Part(a) Step 1:  Graph the function 

The given 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+4

slope =3

y intercept=4

Plot the y intercept (0,4). Now use the slope =3

Move 3 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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