the graph of f(x) is shown below. estimate and list the value(s) of x where f(x) has a horizontal tangent…

the graph of f(x) is shown below. estimate and list the value(s) of x where f(x) has a horizontal tangent. note: this is the same as finding the x-values where the slope of the tangent line is 0.

the graph of f(x) is shown below. estimate and list the value(s) of x where f(x) has a horizontal tangent. note: this is the same as finding the x-values where the slope of the tangent line is 0.

Answer

Explanation:

Step1: Recall tangent - slope relationship

A horizontal tangent has slope 0. We look for points on the graph where the curve has a flat appearance.

Step2: Identify flat - looking points on the graph

From the graph, we can see that the function $f(x)$ has a flat appearance (horizontal tangent) at approximately $x=-6$ and $x = 6$.

Answer:

$x=-6,6$