Chapter 2.5, Problem 97AYU

To determine

To Compare: The range.

Answer to Problem 97AYU

  $\begin{array}{l}f(x)=[0,\infty )\\ g(x)=[k,\infty )\end{array}$

Explanation of Solution

Given: $y=f(x)=x^2,y=g(x)=f(x)+k$

The range of function $f(x)=x^2$ is $[0,\infty )$

Range of function

  $\begin{array}{l}g(x)=f(x)+k\\ g(x)=x^2+k\end{array}$

Is $[k,\infty )$