Study of functions Activity Domain and Range Last day to do a schedule change is Friday, January 16, 2015. Student Holiday – Monday, January 19, 2015
What is the length of your foot in inches? What is the length of your forearm in inches? How many pets do you have? How many siblings do you have? What is your shoe size? What is your height
Both graphs are relations. However, Both graphs may not always be well-behaved. Given a foot length there might be several forearm lengths corresponding to that the foot length. How do you know then where to go? For a relation to be a function, there must be exactly one y value that corresponds to a given x value. Forearm Length Foot Length Forearm Length Foot Length
We should give a name to the collection of possible x-values (Foot length in our example) And To the collection of their corresponding y-values (heights). Everything must have a name
Variable x is called independent variable Variable y is called dependent variable For convenience, we use f(x) instead of y. The ordered pair in new notation becomes: (x, y) = (x, f(x)) Y=f(x) x (x, f(x))
Suppose, we are given a function from X into Y. The domain of a function is the set X. That is a collection of all possible x-values. The range of a function is the set of all images as x varies throughout the domain.