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Chapter 3: Q 347. (page 344)

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

f(x)=12x+1

Short Answer

Expert verified

The domain of the linear function is(-鈭�,鈭�). The range of the linear function is(-鈭�,鈭�).

Step by step solution

01

Step 1. Given Information.

a) Graph the function,

f(x)=12x+1

02

Step 2. Linear Function

It is in the form of slope-intercept concept and the slope is m=12.The y-intercept is(0,1). The graph can be drawn as,

03

Step 3. Domain and range

Given function is a linear function, domain of linear function is all real numbers.

Domain of the linear functions is(-鈭�,鈭�).Given function is a linear function, range of linear function is all real numbers. Range of the linear function is (-鈭�,鈭�).

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Most popular questions from this chapter

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

Graph the equationsx=4andy=3.

Find the intercepts of the equation5x-y=5.

Plot each point in a rectangular coordinate system and identify the quadrant in which the point is located.

(-4,1),(-2,3),(2,-5),(-2,5),(-3,52)

In the following exercises, use the graph of the function to find its domain and range. Write the domain and range in interval notation.
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