Local minimum and local maximum imply that the function approaches negative and positive infinite at opposite sides of the graph.

Question

Local minimum (1,1) and local maximum (3,3) means the slope of the function is 0 at these points.

Thank you so much.

So
1)when the local minima is (1,1) & (3,3), how can I sketch the graph?

2)when the local maxima is (1,1) & (3,3), how can I sketch the graph?

These are three different problems!

Answer 1

how to sketch the graph?

Answer 2

y=x^2-1

Answer 3

Sketch the function (x+4)^5