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Chapter 3: Q. 308 (page 327)

In the following exercises, evaluate the function at:

a.f(2)b.f(-1)c.f(a)

Function:f(x)=3x+4

Short Answer

Expert verified

a. The value of the function at x=2is 10.

b. The value of the function at x=-1is 1.

c. The value of the function atx=ais3a+4.

Step by step solution

01

Step 1. Given Information

The given function isf(x)=3x+4

02

Part (a) Step 1. Evaluating the function at x=2.

To evaluatef(2), substitute 2for x.

f(2)=3(2)+4f(2)=6+4f(2)=10f(2)=10

03

Part (b) Step 1. Evaluating the function at x=-1.

To evaluate f(-1),substitute -1forx.

f(-1)=3(-1)+4f(-1)=-3+4f(-1)=1

04

Part (c) Step 1. Evaluating the function at x=a.

To evaluate f(a)substitute afor x.

f(a)=3(a)+4f(a)=3a+4

05

Step 5. Conclusion

Therefore, we have,

a.f(2)=10b.f(-1)=1c.f(a)=3a+4

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