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Scavenger Hunt 12.1-12.3

Scavenger Hunt 12.1-12.3. Relations and Functions. “ Function ” A relationship in which each input value (x) has only one output value (y). Domain. Input. Range. Output. Are the following ordered pairs a function? (1,-4),(2,11), (3, 31), and (4,59). YES!.

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Scavenger Hunt 12.1-12.3

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  1. Scavenger Hunt 12.1-12.3 Relations and Functions

  2. “Function”A relationship in which each input value (x) has only one output value (y). Domain Input Range Output

  3. Are the following ordered pairs a function? (1,-4),(2,11), (3, 31), and (4,59) YES!

  4. “Function”A relationship in which each input value (x) has only one output value (y). NOT a function

  5. Range Domain Functions Exactly ONE “y” (range) for each value of “x”.

  6. Find the domain of f(x) = 2x + 1 Domain is all real numbers

  7. Find the domain of Domain is {x | x  4}

  8. Find the domain of Domain is {x | x  -5}

  9. Find the domain of Domain is all real numbers

  10. Find the range of f(x) = 2x + 1 Range is all real numbers

  11. Find the range of Range is { y | y  0 }

  12. Example: Graph each function f(x)= x+4 where the domain is {-2,-1,0,1,2,3}

  13. Is this a graph of a function? Vertical Line Test

  14. Is this a graph of a function?

  15. Is this a graph of a function?

  16. Is this a graph of a function?

  17. Is this a graph of a function?

  18. Is this a graph of a function?

  19. Is y = 3x – 4 a function? Is x = y2 a function?

  20. YES Is y = |x| a function? Is x = |y| a function?

  21. Function Values • The outputs are called function values. • Example: If we have f(8)=10 then 10 is the functional value and 8 would be the input

  22. Find f(5) 12 Find f(-3) 4 Find f(0) 7

  23. Find g(5) 7 Find g(-3) -9 Find g(0) -3

  24. Linear Functions y=mx +b The Triad Truck Rental Company charges $35 per day plus $0.21 per mile. Find the cost of renting a truck for a one day trip of 340 miles?

  25. The Triad Truck Rental Company charges $35 per day plus $0.21 per mile. Find the cost of renting a truck for a one day trip of 340 miles? f(x) =35 + 0.21 x f(340) = 35 + 0.21 (340) f(340) = $106. 40

  26. How can you tell whether or not a graph is a function? • Vertical line test • The vertical line can only cross the graph once in order for it to be a function

  27. How can you tell whether or not a relation is a function • Only 1 domain goes to 1 range for lists • Only 1 x goes to 1 y value for (x,y)

  28. What are the 3 ways a relations can be expressed? • Charts/ lists • Sets of ordered pairs/ graph • Formula/equation

  29. How can you find the domain of a function? The domain is the x values of a function. • Given ordered pairs (x,y) it’s the first entry • Given a list/chart the domain is always on the left • On a graph it is the x-axis

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