The graph of a function f is given Use the graph to estimate

The graph of a function f is given. Use the graph to estimate the following. (a) All the local maximum and minimum values of the function and the value of x at which each occurs. local maximum (x, y) = () (smaller x-value) local minimum (x, y)= () (larger x-value) local minimum (x, y) = () (b) The intervals on which the function is increasing and on which the function is decreasing. (Enter your answers using interval notation.) increasing decreasing

Solution

a)from the graph

local maximum (x,y)=(-10,10)

local maximum (x,y)=(15,5)

local minimum (x,y)=(0,-5)

b)

increasing (-,-10)U(0,15)

decreasing (-10,0)U(15,)

if we consider only the portion of curve shown in graph

increasing (-20,-10)U(0,15)

decreasing (-10,0)U(15,40)