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$7,$ Ch$.$

$-$MAT$\_$

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$7$ Points$]$

onsider the equation below. $($If an answer does not exist, enter DNE.$)$

$f(x)=e^{9x}{e}^{-x}$

$($a$)$ Find the interval on which $f$ is increasing. $($Enter your answer using interval nota

$$

Find the interval on which $f$ is decreasing. $($Enter your answer using interval not ze

$$

$($b$)$ Find the local minimum and maximum values of $f.$

local minimum value $$

local maximum value $$

$($c$)$ Find the inflection point.

$(x,y)=()$

Find the interval on which $f$ is concave up$.($Enter your answer using interval notat

$$

Find the interval on which $f$ is concave down. $($Enter your answer using interval not

$$

Need Help? $$