The graph of fx is shown below Estimate and list the value o

The graph of f(x) is shown below. Estimate and list the value of x where f(x) has a horizontal tangent. x =

Solution

The graph of f(x) has two peaks. One is at x = -6 and the other one is at x = 5.

At these points, the slope of the tangent line to the graph of f(x) will be 0.

Hence, the values of x where f(x) has a horizontal tangent are x = -6 and x = 5.