+9 I need help with Algebra 2 stuff. I have to describe the shape of the graph of each cubic function by determining the end function is and the number of turning points but none of it makes sense. Help?
+5265 End points:
when x is going left (into negatives) y is going down (into negatives), and when x is going right (into positives) y is going up (into positives)
Tried to make it easier to understand.
+5265 Leading coefficient is positive, and it is cubic.
Turning points are equal to degree minus one, so the number of turning points is 2
since the leading coefficient is positive, when x -> negative infinity, then y -> negative infinity
and
when x -> infinity, y-> infinity
+5265 End points:
when x is going left (into negatives) y is going down (into negatives), and when x is going right (into positives) y is going up (into positives)
Tried to make it easier to understand.
+129852 y= (3x^3) - x - 3
The end behavior will be towards -infinity as x approaches some large negative value and towards + infinty as x approaches some large positve value
The maximum number of turning points will be two and the minimum number willl be zero......
We could find the potential turning points using Calculus, but.....since you haven't had Calculus, it might be best to look at the graph, here: https://www.desmos.com/calculator/kjh6bkkj2b
There are two turning points...one at (-1/3 , ≈ -2.778) and the other at (1/3, ≈ -3.222)
