WeBWorK Standalone Renderer

The figure shows an interactive graph of $y = f(t)$ . You can change the value of $x$ in the graph by clicking and dragging the red dot along the horizontal $t$ -axis.

Suppose $F$ is a function such that $F'(x) = f(x)$ and $F(0) = -3$ .

(a) For what values of $x$ in the closed interval $\lbrack 0, 8 \rbrack$ does $F(x)$ have a local maximum?
$x \approx$

(b) What is the global minimum value of $F(x)$ on the closed interval $\lbrack 0, 8 \rbrack$ ?
Minimum value of $F(x) \approx$

(c) For what values of $x$ in the closed interval $\lbrack 0, 8 \rbrack$ does the function $F(x)$ have inflection points?
$x \approx$

Graph of $y = f(t)$

You can earn partial credit on this problem.