Pc 1.4 notes_functions

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1.4: Functions

Essential Question:

How do you find the domain of a function?

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What is a function?

Which of these are functions?(4, ­3), (2, 0), (5, ­2), (3, 1), (2, ­1)

(2, ­1), (3, ­1), (4, ­1), (5, ­1)

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Parts of a function:

Input =

Function =

Output =

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Ex. 1) Evaluate the function for the given value.

;

;

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Ex. 2) Find if

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Ex. 3) Evaluate the function below when x = -2, 0, and 2.

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Domain: All the x­values…To find the domain, it is often easier to find what values you CAN NOT use, then say the domain is everything else.

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Ex. 4) Find the domain of the function.

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Rally Coach:

Find the domain of the following functions.

a)

b)

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The Difference Quotient

1. Plug in x value (or x+h)2. Simplify with Algebra

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Ex. 6) Find the difference quotient.