Question

1) Is F increasing on the interval (2.10)? 2) List the interval(s) on which F is increasing. Justify your answer. 3) List the intervalis) on which F is decreasing Justify your answer. 4)List the value(s) of x at which has a local maximum. Justify your answer.5) List the value(s) of x at which F has a local minimum. Justify your answer. 6) Find the X -intercepts 7) Find the Y-intercepts.

Answer 1

1)

in the interval (2,5) decreases and then increases , but We cant say that it is growing since it had a fall in the middle, so isnt increasing

2)

(-8,-2) (0,2) (5,10)

It is increasing because, from left to right, it comes from a low point to a higher point

3)

(-10,-8) (-2,0) (2,5)

It is decreasing because, from left to right, it comes from a high point to a lower point

4)

x=-2 and 2

are the highest values ​​of the function

5)

x=-8, 0 and 5

are the lowest values ​​of the function

6)

x=-5, 0 and 5

values ​​where y = 0, therefore intersects the x axis

7)

y=0

values ​​where x = 0, therefore intersects the y axis