12 For this graph answer these questions about its propertie

12 For this graph, answer these questions about its properties. Function Yes or No x-intercept(s) y-intercept Minima points_ Interval(s) increasing Interval(s) decreasing

Solution

1. x- intercepts are the points where the curve intersects x -axis .Graph intersects x- axis at x=0 , - 4

x - inter cepts are 0 ,- 4

2 .the curve intersects the y -axis at y=0 (origin ) hence y - intercept is 0

3. maximum value of the function is 12 when x=8

4 . minimum value of the function is - 2 when x= -2

5 the function is increasing in the interval [ - 2 , 8] as a>b => f(a) > f(b)

6 the fn is decreasing in the interval [-9 , -2]

7. F(0) =0 and F( -6) =4