Precalc0101to0102-page24 - (Section 1.2 Graphs of Functions...

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(Section 1.2: Graphs of Functions) 1.2.4 PART D: THE VERTICAL LINE TEST (VLT) The Vertical Line Test (VLT) A curve in a coordinate plane passes the Vertical Line Test (VLT) ± There is no vertical line that intersects the curve more than once. An equation in x and y describes y as a function of x ± Its graph in the xy -plane passes the VLT . • Then, there is no input x that yields more than one output y . • Then, we can write y = fx () , where f is a function. • A “curve” could be a straight line. Example 1 (Square Root Function and the VLT; Revisiting Part C)
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