Question

Use the graph of f to estimate the local maximum and local minimum.

Answer 1

@jim_thompson5910

Answer 2

well as u havent specified in which interval we have to find out the local maximum and minimum , i m gonna state all the local maxima and minimas
In the interval [0,2Pi] , the local maximum is at Pi/2 and its value is 1 , while the local minimum is 3Pi/2 and its value is -1
while in the interval [-Pi,0] the local maximum is at 0 , and its value is -2 , and the local minimum is -6.
And in the interval [-Pi,2Pi](that is the whole graph and i think this is what ur question is asking abt) , the local maximum is 1 and local minimum is -6

Answer 3

Local maximum: (pi/2,1) ; local minimum: (3pi/2,-1)
Local maximum: (0,0) and (pi/2,1) ; local minimum: (0,0) and (3pi/2,-1)
Local maximum: (0,0) and (pi/2,1) ; local minimum: (3pi/2,-1)
these are my options

Answer 4

and Local maximum: (0,-2); local minimum: (0,0) and (π,0)

Answer 5

well in that case interval is clearly [0,2pi] in that interval local maximum (the highest point ) is at Pi/2 and its value is 1 , and local minimum (lowest point) is at 3 pi/2 and its value is -1
so Local maximum: (pi/2,1) ; local minimum: (3pi/2,-1)

Answer 6

it's not (0,0) too right?

Answer 7

0 is neither the highest point , nor the lowest , so No O-O

Answer 8

thank you!

Answer 9

Glad to help