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Published byFrode Aagaard Modified over 5 years ago
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Objective - To write and evaluate simple functions.
Input Function Output y = 5x x y Input Output x y 2 10 2 10 3 15 3 15 4 20 4 20 5 25 . 6 30 7 y = 5x 35 7 35
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Logan assembles outdoor BBQs for $8 each.
Write a rule that represents his pay, y, in terms of the number of BBQs he assembles, x. Domain = Input = x = the # of BBQs assembled. Range = Output = y = amount Logan is paid. Output Input y = 8 x If Logan assembles 20 BBQs last week, what would he get paid? y = 8 x y = 8 20 y = 160 $160
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Todd is 3 years older than his brother, Mark. If
Mark is x years old and Todd is y years old, write a rule that relates their ages over time. Domain = Input = x = Mark’s age. Range = Output = y = Todd’s age. Output Input y = x + 3 When Mark is 28 years old, how old will Todd be? y = x + 3 y = Todd will be 31. y = 31
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Relation - Any set of ordered pairs
Function - A type of relation where there is exactly one output for every input. For every x there is exactly one y. x y x y 1 6 1 6 2 7 2 7 3 7 3 Function
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Relation - Any set of ordered pairs
Function - A type of relation where there is exactly one output for every input. For every x there is exactly one y. x y x y 1 6 1 6 1 7 2 7 2 7 Not a Function
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A rule or equation where there is
exactly one output for every input. Function - For every x-value there is exactly one y-value. x -1 1 2 4 y -2 2 4 6 x -1 1 2 4 y 2 4 6 x 1 2 4 y -2 2 4 6 No x- value repeats No x- value repeats x-value repeats -1 1 -2 2 2 1 Yes, it is a function Yes, it is a function No, it is not a function
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Vertical Line Test - Functions
y y y y x x x x y y y y x x x x
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Vertical Line Test - Functions
y y y y x x x x Function y y y y x x x x
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Vertical Line Test - Functions
y y y y x x x x Function Function y y y y x x x x
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Vertical Line Test - Functions
y y y y x x x x Function Function Not a Function y y y y x x x x
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Vertical Line Test - Functions
y y y y x x x x Function Function Function Not a Function y y y y x x x x
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Vertical Line Test - Functions
y y y y x x x x Function Function Function Not a Function y y y y x x x x Not a Function Function Not a Function Not a Function
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x y Tell whether the relation below is a function. input output 1) 3)
1 x 5 Function Not a Function 2 3 2) x y 4) input output -3 -1 1 2 3 -2 4 -1 Not a Function 5 Not a Function 6
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Write a function rule that relates x and y in the
tables below. x 1) y = 4x y 2) x y = x + 5 y x 3) y 4) x y = 3x + 2 y
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