finding local maxima and minima of a function given the graph. here is a graph of the function f. use the…

finding local maxima and minima of a function given the graph. here is a graph of the function f. use the graph to find the following. if there is more than one answer, separate them with commas. all local minimum values of f: all values at which f has a local minimum:

finding local maxima and minima of a function given the graph. here is a graph of the function f. use the graph to find the following. if there is more than one answer, separate them with commas. all local minimum values of f: all values at which f has a local minimum:

Answer

Explanation:

Step1: Identify local minima points

Local minima are points where the function changes from decreasing to increasing. On the graph, these are the "valleys".

Step2: Determine local - minimum values

The local - minimum values are the $y$ - coordinates of the local - minimum points. From the graph, the local - minimum values occur at $y=-1$.

Step3: Determine $x$ - values of local minima

The $x$ - values at which the local minima occur are the $x$ - coordinates of the local - minimum points. From the graph, the function has local minima at $x = - 1$ and $x=2$.

Answer:

All local minimum values of $f$: $-1$ All values at which $f$ has a local minimum: $-1,2$