Section 3.3 Functions 181 Objective 2 Examples Use the vertical line test to determine if each relation is a function. 2a. 2b. 6 2 y 2 4 4 6 –2 –2 –4 x 4 2 4 –2 –4 –4 x y Solutions 2a. 2 y 2 4 6 –2 –4 x So, the graph is a function 2b. 4 2 4 –2 –4 –4 x y Draw vertical lines through the graph. Each vertical line intersects the graph in at most one point. Draw vertical lines through the graph. There is at least one vertical line that intersects the graph at more than one point. So, the graph is not a function Student Check 2 Use the vertical line test to determine if each relation is a function. a. b. 2 y 2 4 –4 –2 4 –4 x 2 2 4 4 –2 –4 –2 –4 x y Function Notation In Objective 1 of this section, we learned that y = 5x + 2 is a function since each input value, x, corresponds to only one output value, y. We can use a special notation, called function notation, to indicate that an equation is a function. In function notation, y = 5x + 2 is written as f (x) = 5x + 2 Objective 3 ▶ Use function notation.
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