Let $f(x)=7x^3-9x+3.$ Then

$f$ is increasing on the interval$($s$)$

$f$ is decreasing on the interval$($s$)$

$f$ has local maximum$($a$)$ at $x=$

$f$ has local minimum$($a$)$ at $x=$

$f$ is concave up on the interval$($s$)$

$f$ is concave down on the interval$($s$)$

$f$ has inflection point$($s$)$ at

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