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Lesson 1.7 An Intro to Functions

Lesson 1.7 An Intro to Functions. What is a function?. Key Vocabulary. Function: a rule that establishes a relationship between two quantities call an input and an output; for each input there is exactly ONE output Domain: the collection of all input values of a function

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Lesson 1.7 An Intro to Functions

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  1. Lesson 1.7 An Intro to Functions What is a function?

  2. Key Vocabulary • Function: a rule that establishes a relationship between two quantities call an input and an output; for each input there is exactly ONE output • Domain: the collection of all input values of a function • Range: the collection of all output values of a function

  3. Making a function table • You are at an altitude of 250 feet in a hot air balloon. You turn on the burner and rise at the rate of 20 feet per minute for 5 minutes. Your altitude h after you have risen for t minutes is given by the function

  4. Writing Equations for functions • As you dive deeper and deeper into the ocean, the pressure of the water on your body steadily increases. The pressure at the surface of the water is 14.7 pounds per square inch (psi). The pressure increases at a rate of .445 psi for every foot you descend. Represent the pressure P as a function of the depth d for every 20 feet you descend until you reach the depth of 120 feet.

  5. Is the table a function?

  6. Make an input output table • Use 0, 1, 2, 3 as the domain • y= 3x + 2 • y= 21- 2x

  7. Functions • You are in charge of advertising for the drama club’s next performance. You can make two signs from a poster board that is 36 inches long and 24 inches wide. Each poster board costs $.75. • Write an equation that shows the relationship between the number of signs and the total cost of the poster board

  8. Functions • n= 6,8,10,12 • What do the values in the table represent? • If you have $5 do you have enough money to make 14 posters?

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