Q. 25 - Precalculus Enhanced with Graphing Utilities

Question

determine whether the given function is linear, exponential, or neither. For those that are linear functions, find a linear

function that models the data; for those that are exponential, find an exponential function that models the data.

x	f(x)
-1	3
0	6
1	12
2	18
3	30

Step-by-Step Solution

Answer

This is not a linear or exponential function.

Step 1. Given

A table with values of $x,f\left(x\right)$ to trace the function.

Step 2. Write the concept

We will check for domain and range that will gives us a clue about exponentiality or linearity of the function.

Step 3. Calculation

Here the change in domain is just 1 unit but change in range is of higher order.

Also the change is not constant therefore, it is not linear.

For exponential function we choose a value of from domain i.e. $1 \& -1$ but the values at this domain is not reciprocal of each other therefore, it is not exponential.