BuyFind

Precalculus: Mathematics for Calcu...

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

Precalculus: Mathematics for Calcu...

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

Solutions

Chapter 2.1, Problem 4E

(a)

To determine

The function f(x)=(x4)2+3 in words.

Expert Solution

Answer to Problem 4E

The function f(x)=(x4)2+3 in words is “Subtract 4, then square and add 3.

Explanation of Solution

The given function is,

f(x)=(x4)2+3 .

The term (x4) is written in words as “Subtract 4”.

The term (x4)2 is written in words as “Subtract 4, then square”.

The term (x4)2+3 is written in words as “Subtract 4, then square and add 3”.

Thus, the function f(x)=(x4)2+3 in words is “Subtract 4, then square and add 3.

(b)

To determine

The value for f(x) at different values of x in the table.

Expert Solution

Answer to Problem 4E

The table is filled as given below,

x f(x)
0 19
2 7
4 3
6 7

Explanation of Solution

Given:

The given function is,

f(x)=(x4)2+3 (1)

The table of different values is given below,

x f(x)
0 19
2  
4  
6  

Calculation:

Substitute 2 for x in equation (1), to find the value of f(x) at x=2 ,

f(2)=(24)2+3=(2)2+3=4+3=7

Substitute 4 for x in equation (1), to find the value of f(x) at x=4 ,

f(4)=(44)2+3=(0)2+3=3

Substitute 6 for x in equation (1), to find the value of f(x) at x=6 ,

f(6)=(64)2+3=(2)2+3=4+3=7

Thus, the table is filled as given below,

x f(x)
0 19
2 7
4 3
6 7

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