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Chapter 3: Q. 312 (page 327)

In the given exercises, evaluate the function;

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

Function:f(x)=x2+x-2

Short Answer

Expert verified

a. The value of the function at x=2is,4.

b. The value of the function at x=-1is, -2.-2.

c. The value of the function atx=ais,a2+a-2.

Step by step solution

01

Step 1. Given Information

The given function is,f(x)=x2+x-2.

02

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

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

localid="1644783367483" f(2)=(2)2+2-2f(2)=4+2-2f(2)=4

Therefore,f2=4.

03

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

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

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

Therefore,f(-1)=-2.

04

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

To evaluate f(a),substitute afor x.

f(a)=(a)2+a-3f(a)=a2+a-3

Therefore,f(a)=a2+a-3.

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