Question

1. Without using technology, describe the end behavior of f(x) = 3x^32 + 8x^2 − 22x + 43.

Answer 1

Down on the left, down on the right (I think it's this)

Down on the left, up on the right

Up on the left, down on the right

Up on the left, up on the right

Answer 2

2. Graph the function f(x) = − x^4 + 7x^3 − 9x^2 − 3x + 10 using graphing technology and identify for which values of x the graph is decreasing.

From x = −2 to x = −1
From x = 0 to x = 1
From x = 1 to x = 2
From x = 2 to x = 4

I don't have any idea what this one is

Answer 3

Functions in which the leading term (highest power of x) is `even` will have their tails going in the same direction.

Example: f(x)=x^2

Answer 4

If the leading term is `odd`, the tails will go in opposite directions.

Answer 5

So let's look at this function a sec: f(x) = 3x^32 + 8x^2 − 22x + 43
Since the leading term is an `even exponent`, the tails will both go in the same direction.
Since the coefficient on the leading term is `positive`, they will both go upwards.