1. Identifying Functions
Types of Functions:
Linear
Quadratic
Exponential
Absolute Value
Cubic
Rational
Square Root

2. Linear Functions Form a straight line
Increase or decrease across the entire domain
Have a constant rate of change
Equation has x1 in the numerator (can be written as y=mx+b)

3. Quadratic Functions Form a PARABOLA “U shaped graph”
Have a maximum or minimum point
Equation has x2
Ex: f(x) = 3x2 – x + 4

4. Exponential Functions
Curved graphs
Increase or decrease across the entire domain.
Form an “L shape”
Get close to being horizontal but never exactly
Equation has the x as an exponent
Ex: f(x) = 3x

5. Absolute Value Functions
Form a “V shaped” graph
Made of straight lines
Has a maximum or minimum point
Equation has absolute value symbol
Ex: f(x) = │x│

6. Cubic Functions Forms an “S” curve
Can have a maximum and minimum (not always)
Ends go in opposite directions
Equation has x3
Ex: f(x) = x3 – x + 4

7. Rational Functions
Form 2 separate curves, similar to the “L” shaped curves
Equation has x in the denominator
Ex:

8. Square Root Functions Form half of a sideways parabola
Increase or decrease over the entire domain
Equation has
Ex:

9. A. B. C. D.
E. F. G. H.
I. J. K. L.

11. Classify the graphs & Equations
Write the letter of the graph and number of the equation that fits each category.
Linear Quadratic Exponential Absolute Value
Cubic Rational Square Root

12. Identifying Functions Worksheet
Homework
Identifying Functions Worksheet