Suppose that a continuous function $f$ has a derivative $f\text{'}$ whose graph is shown below over the interval $(1,10).$

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$($a$)$ Find the interval$($s$)$ over which $f$ is increasing. $($Enter your answer using interval notation.$)$

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Find the interval$($s$)$ over which $f$ is decreasing. $($Enter your answer using interval notation.$)$

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$($b$)$ Find the $x-$value$($s$)$ where $f$ has a local maximum. $($Enter your answers as a comma$-$separated list.$)$

$x=$

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Find the x$-$value$($s$)$ where $f$ has a local minimum. $($Enter your answers as a comma$-$separated list.$)$

$x=$

$($c$)$ Find the interval$($s$)$ over which $f$ is concave upward. $($Enter your answer using interval notation.$)$

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Find the interval$($s$)$ over which $f$ is concave downward. $($Enter your answer using interval notation.$)$

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$($d$)$ Find the $x-$value$($s$)$ where $f$ has an inflection point. $($Enter your answers as a comma$-$separated list.$)x=$