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Chapter 3: Q. 313 (page 327)

In the following exercises, evaluate the function:

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

Function:f(x)=2x2-x+3

Short Answer

Expert verified

a. The value of the function at x=2is 9.

b. The value of the function at x=-1is 6.6.

c. The value of the function atx=ais2a2-a+3.

Step by step solution

01

Step 1. Given Information

The given function isf(x)=2x2-x+3.

02

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

To evaluate f(2), substitute2 for x.

localid="1645626484407" f(2)=2(2)2-(2)+3f(2)=2(4)-2+3f(2)=8+1f(2)=9

Therefore,localid="1645626504718" f(2)=9.

03

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

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

localid="1645626582390" f(-1)=2(-1)2-(-1)+3f(-1)=2+1+3f(-1)=6

Therefore,f(-1)=6.

04

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

To evaluate f(a),substitute afor x.

localid="1645626688455" f(a)=2(a)2-a+3f(2)=2a2-a+3

Therefore,f(a)=2a2-a+3.

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