Notes Over 2.2
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Transcript of Notes Over 2.2
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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
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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.
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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.
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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.
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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
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Notes Over 2.2Identifying FunctionsFind f(-2), f(5), and f(x - 3)
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Notes Over 2.2Evaluating a Piecewise FunctionEvaluate the function for the given value of x.
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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
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Notes Over 2.2Finding the Domain of a FunctionFind the domain of each function.These are critical valuesClosed Circles
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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.
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Notes Over 2.2