Chapter 4.6, Problem 11P

Find the range of each function for the given domain.

$f(x)=4x+1;\{-4,-2,0,2,4\}$

To determine

To find: The range of the given function for given domain.

Answer to Problem 11P

The range is $\left\{-15,-7,1,9,17\right\}$ .

Explanation of Solution

Given information:

The given equation is $f(x)=4x+1;\{-4,-2,0,2,4\}$

Calculation:

The range of the function is the set of values of the function for the inputs of domain.

Find the function values for given domain values.

  $\begin{array}{l}x=-4\Rightarrow f(-4)=4(-4)+1=-15\\ x=-2\Rightarrow f(-2)=4(-2)+1=-7\\ x=0\Rightarrow f(0)=4(0)+1=1\\ x=2\Rightarrow f(2)=4(2)+1=9\\ x=4\Rightarrow f(4)=4(4)+1=17\end{array}$

Hence, the range is $\left\{-15,-7,1,9,17\right\}$ .