tags:
- algebra-1
- secondary-level
Functions
Checklist
- Relations are sets of ordered pairs.
- Functions are relations where each x (domain) links to only one y (range)
- A vertical line dropped through the graph of a function will cross it just once
- Output y = F(x) where F is function name and x is input
- Evaluate by subbing in a value for x
Some functions to know
- Linear:
f(x)=mx+b
same as slope-intercept
- Constant:
f(x)=b
horizontal line
- Identity:
f(x)=x
diagonal through origin {(-1, -1), (0, 0), (1, 1)}
- Square (parabola):
f(x)=x^2
or f(x)=-x^2
- Cube:
f(x)=x^3
or f(x)=-x^3
- SqRoot:
f(x)=√x
or f(x)=-√x
- Abs:
f(x)=|x|
diagonals meeting at 90 degrees, positive y only