Question

the graph of the function f is shown below. which statement best describes the value of f(-7)? answer f(-7)=0 f(-7)>0

Explanation:

Step1: Recall derivative - slope relationship

The derivative $f^{\prime}(x)$ at a point $x$ is the slope of the tangent line to the graph of $y = f(x)$ at the point $(x,f(x))$.

Step2: Examine the graph at $x=-7$

At $x = - 7$, the graph of the function $y = f(x)$ has a horizontal tangent line. A horizontal line has a slope of 0.

Answer:

$f^{\prime}(-7)=0$