Question

polynomial function question

Answer 1

@whpalmer4

Answer 2

Okay. How would you define an odd polynomial and an even polynomial?

Answer 3

First: Are you familiar with quadrants on a graph in cartesian coordinates? The first quadrant is above the x-axis and to the right of the y-axis. Can you draw a picture (using the Draw utility, below) to show the location of the 1st, 2nd, 3rd and 4th quadrants?

Rule 1: If the graph starts in the 3rd quadrant and ends in the 1st quadrant, the function it represents is ODD.

Rule 2: ?

Rule 3: ?

Rule 4: ?

What could you say about a function whose graph begins in the 3rd quadrant and, as x increases, ends in the 4th quadrant?

Answer 4

The Professor is in the house! If you follow his instructions, you should end up with a solid understanding of the concepts.

Answer 5

its increasing?

Answer 6

The function increases on part of its domain, yes, but the point I was trying to convey is that a function that begins in QIII and ends in QIV as x increases is EVEN and has a negative coefficient, such as -2x^4. Can you spot the relevance of this info to the problem you're trying to solve?

Answer 7

It'd be great if you could mark as even or odd all of the following:
1. Graph begins in QII and ends in QI
2. Graph begins in QII and ends in QIV
3. Graph begins in QIII and ends in QI

Also be able to specify whether the sign of the term with the highest power is positive or negative.