# Find the fill in the blank, if a function f is given by the formula y = f ( x ) then f ( a ) is the ----- of f at x = a ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071 ### Precalculus: Mathematics for Calcu...

6th Edition
Stewart + 5 others
Publisher: Cengage Learning
ISBN: 9780840068071

#### Solutions

Chapter 2.1, Problem 1E
To determine

## Find the fill in the blank, if a function f is given by the formula y=f(x) then f(a) is the ----- of f at x=a

Expert Solution

Since y=f(x) we can conclude that f(a) is the value of the function when x=a

Hence the blank must be filled with word ‘value’

### Explanation of Solution

Given information: Consider the function f(x)=x3+2x

Calculation:

For example, evaluate the values of the function f(x)=x3+2x for the same values of the variable x

Plug the some value x=2 in the function f(x)=x3+2x then we get the value of f(2).

f(2)=(2)3+2(2)f(2)=84f(2)=12

This means the valueof y is -12 when x=2

From the above it can be said that the value obtained by replace x by some number a is the value of the function.

Thus, the blank must be filled with word ‘value’

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