Chapter 6.1, Problem 7E

To determine

To check: Whether the equation $y=2x^3$ is an exponential function or not.

Answer to Problem 7E

The equation $y=2x^3$doesnot an exponential equation.

Explanation of Solution

Given information:

The equation $y=2x^3$ and where $x$ is the independent variable $\text{and }y$ is dependent variable.

The exponential function is the continuous function that is defined as $f\left(x\right)=a{b}^x$ where $b$ is the base such that $a\ne 0,b>0,b\ne 1$ and $x$ is the independent variable.

It can be observed that the given equation $y=2x^3$ does not satisfy all conditions of exponential function since the given equation is not of the form $f\left(x\right)=a{b}^x$ .

The given equation is cubic equation.

Therefore, the function $y=2x^3$ does not an exponential equation.