Chapter 4.6, Problem 19PPE

To determine

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

Answer to Problem 19PPE

Range: $\left\{-39,-7,1,5,21\right\}$

Explanation of Solution

Given information: The domain of function $g\left(x\right)=-4x+1,$ is $\left\{-5,-1,0,2,10\right\}$

Calculation:

The range of a function is the set of all possible values of the dependent variable after we have substituted the domain.

By substituting the values of $x=-5,-1,0,2,10$ in give function, we get

  $\begin{array}{l}g\left(-5\right)=-4\left(-5\right)+1=20+1=21\\ g\left(-1\right)=-4\left(-1\right)+1=4+1=5\\ g\left(0\right)=-4\left(0\right)+1=1\\ g\left(2\right)=-4\left(2\right)+=-8+1=-7\\ g\left(10\right)=-4\left(10\right)+1=-39\end{array}$

Thus, range of given function is $\left\{-39,-7,1,5,21\right\}$ .