Identifying Functions  SWBAT determine whether a relation is a function.  SWBAT find domain and range and use function notation.  Students will attend.

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Presentation transcript:

Identifying Functions

 SWBAT determine whether a relation is a function.  SWBAT find domain and range and use function notation.  Students will attend to precision.

The x value CANNOT repeat. a) {(-2, 0.5),(0, 2.5),(4, 6.5),(5, 2.5)} b) {(6,5),(4,3),(6,4),(5,8)}

a) {(4.2, 1.5),(5, 2.2),(7, 4.8),(4.2, 0)} b) {(-1, 1),(-2, 2),(4, -4), (7, -7)}

If a vertical line passed through the graph touches MORE THAN ONCE, the graph is not a function. a){(-4,2)(-3,1)(0,-2)(-4,-1)(1,2)} b) y = -x 2 + 3

a) {(4,2)(1,2)(0,1)(-2,2)(3,3)} b) {(0,2)(1,-1)(-1,4)(0,-3)(2,1)}

 The function w(x)=250x represents the number of words w(x) you can read in x minutes. How many words can you read in 8 minutes? Got It? #3: How many words can you read in 6 minutes?

 The domain of f(x) = -1.5x + 4 is {1, 2, 3, 4}. What is the range? Got It? #4 The domain of g(x)=4x – 12 is {1, 3, 5, 7}. What is the range of the function?

A(q) = 100q What domain and range are reasonable for the function? What is the graph of the function?

a) If you have 7qt of paint, what domain and range are reasonable for Problem 5? b) REASONING: Why does it not make sense to have domain values less that 0 or greater than 3 in Problem 5?

Function or Not? 1) {(3,7)(3,8)(3,-2)(3,4)(3,1)} 2) {(6,-7)(5,-8)(1,4)(7,5)} 3)