question 5 of 50 he function f(x) = e^x, when graphed, could be described as: increasing. decreasing…
question 5 of 50 he function f(x) = e^x, when graphed, could be described as: increasing. decreasing. constant.
Answer
Explanation:
Step1: Find the derivative
The derivative of $f(x)=e^{x}$ is $f^\prime(x)=e^{x}$.
Step2: Analyze the sign of the derivative
Since $e^{x}>0$ for all real - valued $x$, the function has a positive slope for all $x$. A function with a positive slope is increasing.
Answer:
increasing.