SOLUTION: Please help me sketch this equation: X^3-X^2-16X+16 I need to find the X and Y intercepts and the max and min points. I figured out the y-intercept to be (0,16) and the x-inter

Question 65967: Please help me sketch this equation: X^3-X^2-16X+16
I need to find the X and Y intercepts and the max and min points.
I figured out the y-intercept to be (0,16) and the x-intercepts to be (1,0), (4,0) and (-4,0).
I am having trouble with the max/min points. This is what I have so far.
I took the derivitive for the max.
Y=X^3-X^2-16X+16
Y=3X^2-2X-16
let y=0
0=(3x-8)(x+2)
x=8/3 x=-2
This is where I get stuck. If you could help me the max/min, that would be great. Thankyou!
Sincerely,
Leanne Spence
Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
What you've done so far looks good!
Now that you have the x-coordinates of the maximum and minimum points of the curve, substitute these into the original cubic equation and solve for y.
You shoul get:
y = 36 and y = -14.8148...
You can see by inspection that the maximum is at (-2, 36) and the minimum is at (2.67, -14.815)
Here's what the graph looks like:

RELATED QUESTIONS
y=x^2 + 3*x I need to solve this complete the table and graph and find the roots,... (answered by richwmiller,Mathematicians)

Please help me. I have no clue on what numbers to use for this parabola since my Y... (answered by rothauserc,MathTherapy,richwmiller)

I need some help to find the y-intercept, the x intercepts, the turning point and sketch (answered by funmath)

Find the amplitude, Period, Phase Shift, Graph and max/min and x and y intercepts of:... (answered by Theo)

for the equation of the given ellipse 16x^2+4y^2=64. I need help finding the verticies, x (answered by lwsshak3)

In, "Fundamental Theorem of Algebra," I need to graph this function: x^3-3x^2-x+3 and... (answered by checkley79)

y^2=x+1. Find the vertex, x and y intercepts, and sketch the graph. Please help, I have... (answered by stanbon)

I have a question that i need help with: Sketch the graph of y=x^3-3x^2+1/x^3 1.... (answered by arallie)

I need help trying to figure out the min and max of a function... (answered by richard1234)