Investigate the Math
Using your graphing calculator, graph each of the following functions then complete the table.
Type of
Constant
Linear
Quadratic
Cubic
Function
y
4
Function
1
y
x
2
3x 4
y
x
3
2x
2
3x
y
x 3
2
Degree
Leading
Coefficient
Constant
Term
Sketch
Number of
x-intercepts
Domain
Range
Let’s look at the end behaviour if the leading coefficient is positive versus if it is negative.
Describe where the arms are extended.
1. Graph y
2x 4 and y
x 1
and discuss end behaviour.
y
x
2
4x 5 and y
x
2
4
2. Graph
and discuss end behaviour.
y
x
3
x
2
2 and y
x
3
4x
2
3x
3. Graph
and discuss end behaviour.