Identifying Functions

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Presentation transcript:

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

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)

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

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│

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

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

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

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

1. 2. 3. 4. 5. 6. 7. 8.

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

Identifying Functions Worksheet Homework Identifying Functions Worksheet