Question

The function$f\left(x\right)=e^x$is called the ______ exponential function. The number e is approximately equal to ______.

Short answer

The function$f\left(x\right)=e^x$is called the natural exponential function. The number e is approximately equal to 2.718.

Step-by-step solution

Step 1. Given.

The given function is $f\left(x\right)=e^x$.

Step 2. To determine.

We have to fill in the blanks: The function$f\left(x\right)=e^x$is called the _____ exponential function. The number e is approximately equal to ______.

Step 3. Calculation.

The function$f\left(x\right)=e^x$ is known as the natural exponential function.

Using a calculator, the value of$e\approx 2.718$.

Hence,the function$f\left(x\right)=e^x$is called the natural exponential function. The number e is approximately equal to 2.718.