1. Ch 1.3: Graphs of functions

2. Domain and Range of Graphs
Domain: look at the graph left to right
Range: look at the graph up and down
Closed Circle is included, open circle is not
Domain: Look left to right
From -5 (solid) to 3 (hollow)
Domain: [-5, 3)
Range: Look up and down
From -3 (solid) to 4 (solid)
Range: [-3, 4]

3. Increasing and Decreasing Functions
Read graph left to right and pick intervals of change
“Constant” is when the graph “flat-lines” for an interval
These typically occur at the relative maxima and minima
Find the relative max and min using the calculator!
Increasing: (-∞, -1) AND (1, ∞)
Decreasing: (-1, 1)
Relative Max: (-1, 3)
Relative Min: (1, -3)

4. Greatest Integer Function (Step Function)
Greatest integer less than or equal to “x”
Always choose the number LEFT of x, if x is a decimal
Step Function Graph
Graph “jumps” at each integer

5. Even and Odd Functions Even: symmetric to y-axis
all variable exponents are even
**constants are considered even**
Odd: Symmetric to the origin
all variable exponents are odd
**You CAN be NEITHER**
EVEN
NEITHER
ODD

6. Graphing Piecewise Functions
Determine the “split point”
Draw each individual function until you get to that point
When it ends at that point, one will have a hollow dot, the other will be solid depending on the function