Relative max. 0 at x=-1

Relative max. 11 at x=-2

Relative min. -21 at x=2

Relative min. 9 at x=8

Relative max. 0 at x=-1

Relative max. 11 at x=-2

Relative min. -5/4 at x=1/2

and

Abs. Min

Abs. max. 3 at x=9

Relative min. -3 at x=0

Relative max. 5 at x=2

Relative min. -5/4 at x=1/2

and

Abs. Min

Abs. max. 3 at x=9

f^`(x) change signs from - to +

f^`(x) change signs from + to -

f^`(x) change signs from - to +

f^`(x) change signs from + to -

Relative max. and Min.

Absolute max. and min.

concave up

concave dawn

abs. min

critical point

inflection point

abs. max.

area under the curve

inflection point

extreme

critical point

Stationary point

inflection point

extreme

critical point

f`(x) decreasing

f`(x)<0

f`(x) Increasing

f`(x)>0

f`(x) decreasing

f`(x)<0

f`(x) Increasing

f`(x)>0

Relative max. and Min.

Absolute max. and min.

interval of concave up

interval of concave dawn

Relative max.

Abs. max.

Relative min.

Concave up.

Concave dawn

(- $$\infty$$ ,-7/4)

Concave up. (0,2)

Concave up.

(-7/4, $$\infty$$ )

Concave dawn (- $$\infty$$ ,0) and (2, $$\infty$$ )

Concave dawn

(- $$\infty$$ ,-7/4)

Concave up. (0,2)

Increase (- $$\infty$$ ,-2) and (0,2)

Decrease (-2,0)and (2, $$\infty$$ )

Relative(local) max.

at x=-2,2

Relative(local)min. at x=0

Increase

(-2,2)

Decrease $$\left(\infty,-2\right)\cup\left(2,\infty\right)$$ ,0)

and (2, $$\infty$$ )

Relative(local) max.

at x=2

Relative(local)min. at x=-2

Relative(local) max.

at x=-2

Relative(local)min. at x=2

Relative(local) max.

at x=2

Relative(local)min. at x=-2