Chapter 7.6, Problem 50PPE

To determine

Range of the function in the domain $\{1,2,3,4,5\}$

Answer to Problem 50PPE

Range of the function in the domain $\{1,2,3,4,5\}$ is 500.

Explanation of Solution

Given data:

  $f(x)=500\ast 1^x$

Calculation:

Range of the function $f(x)=500\ast 1^x$

  $\begin{array}{l}f(x)=500\ast 1^x\\ f(1)=500\ast 1^1\\ f(1)=500\\ f(2)=500\ast 1^2\\ f(2)=500\\ f(3)=500\\ f(4)=500\\ f(5)=500\end{array}$

By the above function it can be seen that at every real number the result is same which means it a straight line whereas an exponential function is a curved line graph.

Conclusion:

Range of the function in the domain $\{1,2,3,4,5\}$ is 500.