Notes Over 2.2

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Notes Over 2.2 Identifying Functions - Numerically Identifying Functions - Numerically Decide whether the relation is a function. 1. Input Output 2 1 4 3 5 8 7 Not a function, because 4 goes to both 3 and 5 4 5 , 4 3 , 2 1 , 4 1 . 2 , , , , A function, because every input goes to only one output

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Notes Over 2.2. 1 3 5 8 7. Identifying Functions - Numerically. Decide whether the relation is a function. 1. Input Output. A function , because every input goes to only one output. - PowerPoint PPT Presentation

Transcript of Notes Over 2.2

  • Notes Over 2.2Identifying Functions - NumericallyDecide whether the relation is a function. 1. Input OutputNot a function, because 4 goes to both 3 and 5A function, because every input goes to only one output

  • Notes Over 2.2Identifying Functions - VerballyDecide whether the relation is a function. In a school basketball game, all ticket prices are the same. The input value x is the number of tickets purchased, and the output y is the total price paid.A function, because every input goes to only one outputThe input value x is the number of times you cast your line in fishing, and the output y is the total number of fish caught.Not a function, because you could throw your line in 5 times one day and catch 2 fish and another day throw it in 5 times and not catch anything.

  • Notes Over 2.2Identifying Functions - GraphicallyDecide whether the relation is a function. 5.Vertical line testA function, because it only hits the graph once all the way across.

  • Notes Over 2.2Identifying Functions - GraphicallyDecide whether the relation is a function. 6.Vertical line testNot a function, because it hits the graph more than once from -5 to 5.

  • Notes Over 2.2Identifying Functions - AlgebraicallyDecide whether the relation is a function. Try to solve for yA function, because every input goes to only one outputNot a function, because most inputs will have 2 outputs

  • Notes Over 2.2Identifying FunctionsFind f(-2), f(5), and f(x - 3)

  • Notes Over 2.2Evaluating a Piecewise FunctionEvaluate the function for the given value of x.

  • Notes Over 2.2Finding the Domain of a FunctionFind the domain of each function.Domain excludes x-values that result in division by 0.Domain excludes x-values that result in even roots of negative numbers.All real numbers

  • Notes Over 2.2Finding the Domain of a FunctionFind the domain of each function.These are critical valuesClosed Circles

  • Notes Over 2.2Andre Agassi hit a lob in tennis right on his baseline that took a path given by the function:Function Applicationwhere x and y are measured in feet. If a tennis court is 78 feet long, will the ball land in, assuming he hit it straight?No, because it is still coming down.

  • Notes Over 2.2