IDENTIFYING FUNCTIONS Vertical line test A test use

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IDENTIFYING FUNCTIONS

IDENTIFYING FUNCTIONS

Vertical line test A test use to check if the relation is a function.

Vertical line test A test use to check if the relation is a function. If the vertical line passes through more than one point of the graph, then it’s NOT a function yes No

PRACTICE Use the Vertical Line Test to determine the function: Function Not a Function

PRACTICE Use the Vertical Line Test to determine the function: Function Not a Function Determine if the relations are a Function by mapping Function

FUNCTION NOTATION Another way of writing an equation is: Read as: “f of x”

FUNCTION NOTATION Another way of writing an equation is: Read as: “f of x”

Example a. f(x)= -3 x - 10: f(6)= -3(6) - 10 f(6)= -18 -

Example a. f(x)= -3 x - 10: f(6)= -3(6) - 10 f(6)= -18 - 10 f(6)= -28 : Evaluate a Function Rule if x=6 Your Turn! a. f(a)= -3 a + 5: f(4)= -3(4) + 5 f(4)= -12 + 5 f(4)= -7 if a=4

Evaluate the function rule f(x)= 3 x + 2 to find the range of

Evaluate the function rule f(x)= 3 x + 2 to find the range of the function for the domain {-3, 1, 4} f(x)= 3 x + 2: if x=-3 f(x)= 3 x + 2: if x= 1 f(-3)= 3(-3) + 2 f(1)= 3(1) + 2 f(-3)= -9 + 2 f(1)= 3+ 2 f(4)= 12+ 2 f(-3)= -7 f(1)= 5 f(4)= 14 The range is: {-7, 5, 14} f(x)= 3 x + 2: if x=4 f(4)= 3(4) + 2

YOUR TURN! Evaluate the function rule f(x)= 2 x + 1 to find the

YOUR TURN! Evaluate the function rule f(x)= 2 x + 1 to find the range of the function for the domain {-2, 0, 5} f(x)= 2 x + 1: if x=-2 f(x)= 2 x + 1: if x= 0 f(-2)= 2(-2) + 1 f(0)= 2(0) + 1 f(-2)= -4 + 1 f(0)= 0+ 1 f(5)= 10+ 1 f(-2)= -3 f(0)= 1 f(5)= 11 f(x)= 2 x + 1: if x=5 f(5)= 2(5) + 1 The range is: {-3, 1, 11}

Function Modeling 1. Model y = – 2 x + 4 with a table

Function Modeling 1. Model y = – 2 x + 4 with a table of values and a graph. x y = – 2 x + 4 (x, y) – 1 y = – 2(– 1) + 4 = 6 (– 1, 6) 0 y = – 2(0) + 4 = 4 (0, 4) 1 y = – 2(1) + 4 = 2 (1, 2) 2 y = – 2(2) + 4 = 0 (2, 0)