Describe the end behavior of polynomial graphs with odd and even degrees. talk about positive and negative leading coefficients.

The general polynomial function is given by:

where and it is the leading coefficient.

Also, if n is even then it is a even degree polynomial.

and if n is odd then it is a odd degree polynomial.

The end behavior of a polynomial is the behavior when x tends to infinity from both the sides.

i.e. when x → -∞ and when x → ∞

Now,

If n is even:

1)

then if x → -∞  then P(x) → ∞

and if x → ∞ then P(x) → ∞

2)

then if x → -∞  then P(x) → -∞

and if x → ∞ then P(x) → -∞

If n is odd:

1)

then if x → -∞  then P(x) → -∞

and if x → ∞ then P(x) → ∞

2)

then if x → -∞  then P(x) → ∞

and if x → ∞ then P(x) → -∞

the figures below are made out of circles, semicircles, quarter … find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations). remember that we'll also have to cut whatever areas we get in half, since we're only dealing im pretty sure that is the right answer

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."