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. question help: video message instructor submit question jump to answer

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. question help: video message instructor submit question jump to answer

Answer

Explanation:

Step1: Identify horizontal tangent points

A horizontal tangent has a slope of 0. We look for the x - values on the graph where the curve has a flat section.

Step2: Estimate x - values

From the graph, we can see that the function has horizontal tangents near $x=-5$ and $x = 1$.

Answer:

$x=-5,1$