In the last lesson, we learned the power of having a polynomial function in its factored
form; in this form it is easy to see many of the functions general properties and then
quickly sketch a graph of the function. In comparison, when we are presented a
All even exponent polynomial functions have a characteristic parabolic shape
for very large positive and negative values of x, while all odd exponent
polynomial functions have a shape characteristic of a function that starts and
ends in quadrants that ar
All functions can be transformed (moved and changed) by having any number of a
series of different transformations applied to them. In previous math courses, some of
these transformations and their effects on a given graph were studied. In this section,
w
We already know that the k-value and the d-value affect the function in the horizontal
direction. Since the x-value is on the horizontal axis, these values will affect the xcoordinate of our given point.
We also know that the a-value and the c-value affec
The vertical line test is another method used to see if a relation is a function. We can
use this method by;
1. Drawing an imaginary vertical line on a graph of the relation.
2. If the vertical line intersects the graph EXACTLY once, then it is a function
Many real world problems and experiments involve the measurement of a variety of
quantities, and a great deal of effort goes into making these measurements as accurate
and reproducible as possible. The first step toward ensuring accuracy and
reproducibili
When using measuring tools and devices in the real world, precision varies quite readily.
Just as a chain is only as strong as its weakest link, a measurement is only as precise
as its least precise measurement. Therefore, we must maintain a system of sig
A relation is a rule that connects two or more things. It can be a connection between
objects, people, numbers, etc, or any combination thereof. A relation tells us what to do
with some sort of input to get a specific output.
Consider, for example, the re