Shape of a Polynomial Graph
Not what you're looking for?
If you have an arbitrary polynomial P(x) of the nth degree in x, and you graph the equation y = P(x), describe the overall shape of this graph. What happens when x gets large in the positive and negative directions, and how many peaks and valleys does the graph have? How many times does the graph cross the x-axis? (To simplify, let the sign of the highest power term in P(x) be positive.)
Purchase this Solution
Solution Summary
This solution describes the shape of a graph of a polynomial of any power. The explanation of the shape includes:
1) Limits at small and large values for x.
2) Number of peaks
3) Number of valleys
4) Number of times the graph crosses the x-axis.
Solution Preview
Any polynomial has a curve. The shape of a polynomial is dependent on whether the power is even or odd.
If the polynomial has an even power:
When x gets large in each direction, the y value ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Linear Equations
Each question is a choice-summary multiple choice question that will present you with a linear equation and then make 4 statements about that equation. You must determine which of the 4 statements are true (if any) in regards to the equation.
Exponential Expressions
In this quiz, you will have a chance to practice basic terminology of exponential expressions and how to evaluate them.
Solving quadratic inequalities
This quiz test you on how well you are familiar with solving quadratic inequalities.
Geometry - Real Life Application Problems
Understanding of how geometry applies to in real-world contexts
Probability Quiz
Some questions on probability