if f(x) is increasing on the interval (1,5), which statement is true? f(x) stays constant as x increases…

if f(x) is increasing on the interval (1,5), which statement is true? f(x) stays constant as x increases from 1 to 5; f(x) decreases as x increases from 1 to 5; f(x) increases as x increases from 1 to 5; f(x) has a maximum at x = 3

if f(x) is increasing on the interval (1,5), which statement is true? f(x) stays constant as x increases from 1 to 5; f(x) decreases as x increases from 1 to 5; f(x) increases as x increases from 1 to 5; f(x) has a maximum at x = 3

Answer

Explanation:

Step1: Recall definition of increasing function

A function $y = f(x)$ is increasing on an interval $(a,b)$ if for any two values $x_1$ and $x_2$ in the interval $(a,b)$ with $x_1<x_2$, we have $f(x_1)<f(x_2)$. Here $a = 1$ and $b = 5$.

Answer:

$f(x)$ increases as $x$ increases from $1$ to $5$