12.2 Functions and Graphs F(X) = x+4 where the domain is {-2,-1,0,1,2,3}

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Presentation transcript:

12.2 Functions and Graphs

F(X) = x+4 where the domain is {-2,-1,0,1,2,3}

To determine if an equation is a function… Create a (x, y) table

Is y = x² a function? Is x = y 2 a function? No, because x = 9 is equal to both 3 and –3.

Is y = |x| a function? Is x = |y| a function? No, because x = 7 is equal to both 7 and –7. YES

To determine if a graph is a function… Perform the Vertical Line Test

Is this a graph of a function? Vertical Line Test

Is this a graph of a function?

Domain of a Function X values have to make the value a real number Watch for 0 in the denominator Watch for – under the square root (set radicand )

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

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

Find the domain of Domain is all real numbers

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

Find the domain of Domain is {x | x  7}

Graph and State Domain and Range Domain is horizontal coverage Range is vertical coverage

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

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

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

xy Find the range of xy Range is { y | y  -1 }

Assignment Page 545 (2-10 even and 11-31all)