Chapter 3.8, Problem 5WE

To determine

To find: Therange of given function.

Answer to Problem 5WE

The range of given function is {-2, 0, 4}.

Explanation of Solution

Given Information: - We are given a function $f:x\to x^2-3x$ and Domain

D = {-1, 0, 1, 2, 3}.

Calculations:

The function is

  $\begin{array}{l}f:x\to x^2-3x\\ f(x)\to x^2-3x\end{array}$

Substitute the values of $x=-1,0,1,2,3$

Then $f(-1)={(-1)}^2-3(1)$

  $\begin{array}{l}=1+3\\ =4\end{array}$

  $f(0)={(0)}^2-3(0)$

  $\begin{array}{l}=0-0\\ =0\end{array}$

  $f(1)={(1)}^2-3(1)$

  $\begin{array}{l}=1-3\\ =-2\end{array}$

  $f(2)={(2)}^2-3(2)$

  $\begin{array}{l}=4-6\\ =-2\end{array}$

  $f(3)={(3)}^2-3(3)$

  $\begin{array}{l}=9-9\\ =0\end{array}$

Thus, the range of given function is {-2, 0, 4}.