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Let $f(x)$ be the temperature at time $t$ where you live and suppose that at time $t = 3$ you feel uncomfortably hot. How do you feel about the given data in each case?(a) $f'(3) = 2$, $f"(3) = 4$(b) $f'(3) = 2$, $f"(3) = -4$(c) $f'(3) = -2$, $f"(3) = 4$(d) $f'(3) = -2$, $f"(3) = - 4$

a) From the graphs above, we see that $f(x)$ isconcave upward on $(-1.8,0.3) \cup(1.5, \infty)$ andconcave downward on $(-\infty,-1.8) \cup(0.3,1.5)$b) From the graphs above, we see that $f(x)$ isconcave upward on $(-1.8,0.3) \cup(1.5, \infty)$ andconcave downward on $(-\infty,-1.8) \cup(0.3,1.5)$c) From the graphs above, we see that $f(x)$ isconcave upward on $(-1.8,0.3) \cup(1.5, \infty)$ andconcave downward on $(-\infty,-1.8) \cup(0.3,1.5)$d) From the graphs above, we see that $f(x)$ isconcave upward on $(-1.8,0.3) \cup(1.5, \infty)$ andconcave downward on $(-\infty,-1.8) \cup(0.3,1.5)$

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Catherine R.

Missouri State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

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Temple University

Catherine R.

Missouri State University

Caleb E.

Baylor University

Kristen K.

University of Michigan - Ann Arbor

Lectures

Join Bootcamp