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Chapter 3: Q. 508 (page 361)

Evaluate the function
a) f(-2)b) f(3)c)f(a)

f(x)=3x2-2x+1

Short Answer

Expert verified

The function is f(x)=3x2-2x+1

a) To evaluate f(-2), so we get 9

b) To evaluate f(3), so we get -1

c) To evaluatef(a), so we get3a2-2a+1

Step by step solution

01

Part a) Step 1. Given Information

We have the function

f(x)=3x2-2x+1

02

Part a) Step 2. Evaluate f(-2)

Substitute -2for x

f(-2)=3(-2)2-2(-2)+1f(-2)=12+4+1f(-2)=17

03

Part b) Step 3. Evaluate f(3)

Susbtitute 3for x

f(3)=3(3)2-2(3)+1f(3)=27-6+1f(3)=22

04

Part c) Step 4. Evaluate f(a)

Substitute afor x

f(a)=3(a)2-2(a)+1f(a)=3a2-2a+1

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