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Chapter 14: Q. 23 (page 876)

Graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�4f(x),f(x)=3x+1

Short Answer

Expert verified

The limit is13.

Step by step solution

01

Step 1. Given Information

We are given a function f(x)=3x+1and we need to graph the function and findlimx鈫�4f(x).

02

Step 2. Plotting the graph

The function f(x)=3x+1is a linear function. So, the graph of the function is

03

Step 3. Finding the limit

To find the value of limx鈫�4f(x)we need to find the value of the function at x=4.

localid="1646974582416" f(x)=3x+1鈬�f(4)=3(4)+1鈬�f(4)=13鈭�limx鈫�4f(x)=13

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Most popular questions from this chapter

In Problems 13鈥�32, use the accompanying graph of y = f(x).

Findlimx鈫�2+f(x).

In Problems 7鈥� 42, find each limit algebraically

limx鈫�4x

Graph each function. Use the graph to find the indicated limit, if it exists.

limx鈫�蟺f(x),f(x)=cosx

In Problems 7鈥� 42, find each limit algebraically.

limx鈫�-1x2+xx2-1.

In Problems 13鈥�32, use the accompanying graph of y=f(x).

What is the domain of f?
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