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Find the first and second derivatives.

$f'(x) =$

$f''(x) =$

Identify the graph that displays $f$ in blue and dashed and $f''$ in red.

A plot with two lines. The blue line has positive slope and y-intercept of 1. The red line is horizontal with y-intercept of -2

A plot with two lines. The blue line has positive slope and y-intercept of 1. The red line is horizontal with y-intercept of 0

A plot with two lines. The blue line has positive slope and y-intercept of 1. The red line has negative slope and y-intercept of 1

Using the graphs of $f$ and $f''$ , indicate where $f$ is concave up and concave down. Give your answer in the form of an interval. If there is more than one interval separate them with commas. If there are no intervals enter “None”.

$f$ is concave up on

$f$ is concave down on