   Chapter 1.1, Problem 3E

Chapter
Section
Textbook Problem

In Exercises 1-4, evaluate each expression based on the following table. [Hint: See Quick Example 1.] x –3 –2 –1 0 1 2 3 f ( x ) 1 2 4 2 –1 –0.5 0.25 a. f ( 2 ) − f ( − 2 ) b. f ( − 1 ) f ( − 2 ) c. − 2 f ( − 1 )

(a)

To determine

To calculate: The value of f(2)f(2) based on the following data,

 x −3 −2 −1 0 1 2 3 f(x) 1 2 4 2 −1 −0.5 0.25
Explanation

Given Information:

The provided table is,

 x −3 −2 −1 0 1 2 3 f(x) 1 2 4 2 −1 −0.5 0.25

Calculation:

Consider the expression,

f(2)f(2)

Now, function is a relationship which shows how one quantity depends on another.

The function is represented by the symbol f(x) which is dependent on the independent variable x. That is, f(x) is also called the value of the function at x.

Consider the provided table,

 x −3 −2 −1 0 1 2 3 f(x) 1 2 4 2 −1 −0

(b)

To determine

To calculate: The value of f(1)f(2) based on the following data,

 x −3 −2 −1 0 1 2 3 f(x) 1 2 4 2 −1 −0.5 0.25

(c)

To determine

To calculate: The value of 2f(1) based on the following data,

 x −3 −2 −1 0 1 2 3 f(x) 1 2 4 2 −1 −0.5 0.25

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