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Question
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
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 $x_1
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$f(x)$ increases as $x$ increases from $1$ to $5$