CMC South Kathleen Strange UNDERSTANDING FUNCTIONS (c) 2013 Kathleen Strange.

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Presentation transcript:

CMC South Kathleen Strange UNDERSTANDING FUNCTIONS (c) 2013 Kathleen Strange

This is a function.This is not a function. UNDERSTANDING FUNCTIONS (c) 2013 Kathleen Strange

This is a function.This is not a function. UNDERSTANDING FUNCTIONS (c) 2013 Kathleen Strange

This is a function.This is not a function. UNDERSTANDING FUNCTIONS (c) 2013 Kathleen Strange

This is a function.This is not a function. UNDERSTANDING FUNCTIONS (c) 2013 Kathleen Strange

This is a function.This is not a function. UNDERSTANDING FUNCTIONS (c) 2013 Kathleen Strange

Why are these functions? Why are these NOT functions? MAKE A CONJECTURE (c) 2013 Kathleen Strange

This is a functionThis is not a function THINK ABOUT DOMAIN AND RANGE (c) 2013 Kathleen Strange

 Does each element of the domain correspond to exactly one element of the range?  If yes, then the graph represents a function. UNDERSTANDING FUNCTIONS (c) 2013 Kathleen Strange

IS THIS A FUNCTION? WHY OR WHY NOT?

 Since the equation x^2 = 9 has two solutions, x = +3 and x = – 3, students might think that sqrt(9) is +–3. However, if we want sqrt(x) to be a function of x, we need to choose one of these square roots. The square root function, g(x) = sqrt(x), is defined to be the positive square root of x for any positive x. (c) 2013 Kathleen Strange WHY ARE FUNCTIONS IMPORTANT?