Question

dont really understand this question so help!!

Answer 1

Without using technology describe the end behavior of f(x)=-3x^38+7x^3-12x+13?
But the options are like down on left down on right

Answer 2

3x\(^{38}\)?

Answer 3

As x approaches plus or minus infinity, f(x) approaches negative infinity.

Answer 4

since ^38 is even, and ^2 is the quintessential even function; the ends behave in the same fashion as the same x^2

Answer 5

It's the same as a parabola, except flattened. It's the same thing as [x\(^2\)]\(^{19}\)

Answer 6

since the first term is also a negative; it acts like -x^2

Answer 7

so it would be up on the left down on the right?

Answer 8

The end behavior of a function is the limit of the function as x approaches infinity or -infinity

So in this case it as x approaches infinity f(x)-> minus infinity
And as x approaches minus infinity f(x)-> minus infinity

This happens because the leading coefficient is negative and the degree is even (-3x^38)

Answer 9

ok so in this case it would go up then down

Answer 10

In case you are asking about the graph that's it.