Unit 2-Functions Introduction PDF

# Unit: Functions ## Student Handout 1 **Name:** **Date:** **Pd:** # Identifying Functions A donut shop has a small vending machine with the items shown. - If Nate inputs B2, what will he receive? - If Mia inputs A2, what will she receive? - If 5 people in a row input B1, what should they each...

# Unit: Functions ## Student Handout 1 **Name:** **Date:** **Pd:** # Identifying Functions A donut shop has a small vending machine with the items shown. - If Nate inputs B2, what will he receive? - If Mia inputs A2, what will she receive? - If 5 people in a row input B1, what should they each receive? | A | B | |---|---| | MILK | CHOC. MILK | | ORANGE JUICE | APPLE JUICE | | FRUIT PUNCH | WATER | ## Functions - A function is a relation or rule that assigns each _**each**_ value is paired with exactly one _**exactly one**_ value. - A graph that is a function will pass the _**vertical**_ line test where any _**line**_ drawn on the graph will pass through only one point. - Would a vending machine like the one shown represent a function? Explain. - A customer chose A3 and received fruit punch. If the next customer chooses A3 and receives milk, would the vending machine represent a function? Explain. ### Determine if each representation shows y as a function of x, Explain your choice. 1. | x | y | |---|---| | -2 | 7 | | -1 | 1 | | 0 | -1 | | 1 | 1 | | 2 | 7 | 2. {(-2, 1), (3, 11), (-4, -3), (-2, 8), (0, 5)} 3.  4.  # Determine if each representation is a function by writing “yes” or “no.” Justify your answers. 5. {(3, 7), (4, 7), (5, 7), (6, 7)} 6. | x | y | |---|---| | -7 | 1 | | -5 | 3 | | -7 | -1 | | 5 | 13 | 7.  8.  9.  10. The set of ordered pairs shown is missing an x-value. {(9, -15), (0, 0), (4, 0), (_, 2)} - Give an example of an x-value that would result in y as a function of x. - Give an example of an x-value that would not result in y as a function of x. ## Create your own examples and non-examples of functions for each representation below. ### Examples: | x | y | |---|---| | | | | | | | | | | | |   ### Non-Examples: | x | y | |---|---| | | | | | | | | | | | |   ## Summarize today’s lesson: # Unit: Functions ## Homework 1 **Name:** **Date:** **Pd:** # Identifying Functions Students were asked to create a representation of y as a function of x. Circle the names of the students who correctly completed the task. Then, unscramble the underlined letters of the circled names to answer the question at the bottom. ## Charlotte  ## Sofia  ## Deshaun {(-6, 7), (-1, 4), (2, 9), (-6, 11)} ## Jace  ## Nathan | x | y | |---|---| | -4 | -8 | | 0 | -13 | | 5 | -4 | | 11 | 14 | ## Colby  ## Abby  ## Orlando {(9,-2), (7,5), (4,-3), (-9, 6)} ## Stephanie | x | y | |---|---| | -4 | 6 | | 0 | 0 | | 7 | -2 | | -4 | -6 | # What is the only number whose letters are in alphabetical order?