SOLUTION: Please help me solve and graph this problem: Graph the function. F(x)=x^4-3x^3-2x^2+12x-8 Use the graph of the function above to answer the following questions. 1) Startin

Algebra ->  Coordinate Systems and Linear Equations  -> Linear Equations and Systems Word Problems -> SOLUTION: Please help me solve and graph this problem: Graph the function. F(x)=x^4-3x^3-2x^2+12x-8 Use the graph of the function above to answer the following questions. 1) Startin      Log On


   



Question 1041711: Please help me solve and graph this problem:
Graph the function.
F(x)=x^4-3x^3-2x^2+12x-8
Use the graph of the function above to answer the following questions.
1) Starting from x = -2, as x decreases in value, what happens to the f(x) value?
2) Starting from x = 2, as x increases in value, what happens to the f(x) value?
3) How many times does the given function cross or touch the x-axis?
I graphed it, but I don't know how to tell is it increasing or decreasing.

Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!

1) Starting from point A%28-2%2C0%29 , with x=-2, as x decreases in value, you are going to the left towards x=-3 .
As you go to the left from A, the graph goes up,
meaning that the y-coordinate (the value of f%28x%29) is increasing.
2) Starting from point B%282%2C0%29 , with x=2, as x increases in value, you are going to the right towards x=3 .
As you go to the right from B, the graph goes up,
meaning that the y-coordinate (the value of f%28x%29) is increasing.
3) The graph crosses the x-axis at x=-2 , and at x=1 .
It touches the x-axis without crossing it at x=2 .
So there are 3 points where the function touches or crosses the x-axis.