To fully analyze and describe a function
X/y Intercept
Function that is a straight line
Linear
How to “read” a function
From left to right
An arrow at the end of the function that points down is going to
Negative infinity
Instead of saying the function is going up or down
Increasing or decreasing
An important point that all functions in a family have in common
Essential point
Function that looks like a U
Quadratic
These two functions increase and decrease
Quadratic and absolute value
This is the point where the x and y axis meet
Origin
A group of functions that all have similar trend/shape
Family
TQuadratic and absolute value functions have this in common
Vertex
Function that looks like a V
Absolute value
A function always “starts” here
Leftmost point
We have learned about how many function families?
6
Domain
(0,4) and (0,-6) are examples
Y-intercept
Only function that ends
Square root
How to write “all numbers between -6 and 12, not including 12.
[-6,12)
For intervals, we ALWAYS put () around what?
+- infinity
Using (,) or [,] to write the domain,range,increasing,decreasing
Interval Notation
This is either the highest or lowest point of a square root function
Endpoint
Function that looks like a snake that turns
Cubic
If a function is neither increasing nor decreasing on an interval it is…
constant
This function has an essential line called an asymptote
Exponential