Question

g(x)= x^4-2x^3-3x^2+5x-3

Local Minimums:
Local Maximums:
Describe the Domain:
Describe the Range:
Describe Intervals of Increase:
Describe Intervals of Decrease:
As x → –∞, determine f(x) →
As x → ∞, determine f(x) →
Determine the x-intercept(s):
Determine the y-interccept:
Determine the interval(s) on which the function is negative:

Answer 1

WHAT?

Answer 2

This is my time to leave..

Answer 3

You didn't have to respond to this post if you didn't know how to help. :)

Answer 4

\[g(x)=x^4-2x^3-3x^2+5x-3\]
Just rewriting so I can see this better

Answer 5

Are you allowed to use a graphing calculator?

Answer 6

Yeah, not a test, just a review practice

Answer 7

alright, so then, to get the y-intercept we plug x in for zero. And then to find the y-intercept you set the equation equal to zero.

Answer 8

(0,-3) is the y-intercept

Answer 9

okay so you have that. Now can you find all the roots for the equation?

Answer 10

Yes

Answer 11

Okay, those roots are going to be the x-intercepts. Now lets work on domain and Range

Answer 12

(-1.7, 2.5)

Answer 13

As x → ∞, determine f(x) →
As x → -∞, determine f(x) →

For these (ill just go over this real quick,) plug in bigger and bigger numbers in the positive direction and see what the limit goes to (in the positive direction), and also plug in bigger and bigger numbers in the negative direction to see what the limit as x → ∞ is.

Answer 14

For example to find what f(x) approaches as x → ∞, plug in 99 for x, then 999, then 9999. then 99999, and see what f(x) equals. If f(x) gets bigger and bigger we can say it goes to infinity, or it will approach a finite number.

Answer 15

Describe Intervals of Increase:
Describe Intervals of Decrease:

Now one way to solve this part is to graph out the function, where you can graphically see where the function is increasing and decreasing. If you want to do it the other way then...

Answer 16

@darkknight

Answer 17

Yes I have the graph

Answer 18

Oh Okay then, if you want to find the periods of increase and decrease that way you can.
Also to find when on the intervals the graph is negative you can use the graphing calculator, if that is the way you want to do it. So just wherever the function is below y=0, the graph is negative there.


Is this precalc review?

Answer 19

This is integrated III :(

Answer 20

Imagine going from pre algebra to algebra one to integrated 3 lol

Answer 21

Local Minimums:
Local Maximums:
Describe the Domain:
Describe the Range:


These are the ones that is left
As you can see from your graph, the domain seems to be from
\[(-\infty, \infty)\]

Answer 22

And the Range of the function seems to be going up to infinity, but it doesn't go down to negative infinity, instead it goes to the lowest point on the function. Can you find where that point is?

Answer 23

Yup I can, thank you for your help

Answer 24

np, you good with local minimums and maximums as well?

Answer 25

Yes thank you

Answer 26

alright, np