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Chapter 3: Q. 309 (page 327)

In the following exercise, evaluate the function:

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

Function:f(x)=-4x+2

Short Answer

Expert verified

a. The value of the function at x=2is role="math" -6.

b. The value of the function at x=-1is 6.

c. The value of the function atx=ais-4a+2.

Step by step solution

01

Step 1. Given Information

The given function isf(x)=-4x+2.

02

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

To evaluate f(2), substitute 2for x.

f(2)=-4(2)+2f(2)=-8+2f(2)=-6

03

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

To evaluate f(-1),substitute -1for x.

f(-1)=-4(-1)+2f(-1)=4+2f(-1)=6

04

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

To evaluate f(a)substitute afor x.

f(a)=-4(a)+2f(a)=-4a+2

05

Step 5. Conclusion

Therefore, we have,

a.f(2)=-6b.f(-1)=6c.f(a)=-4a+2

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