(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 novertical line that intersects the curve more than once. An equationin xand ydescribes yas a functionof x±Its graphin the xy-plane passes the VLT. • Then, there is noinput xthat yields more than one output y. • Then, we can write y=fx(), wherefis a function. • A “curve” could be a straight line. Example 1 (Square Root Function and the VLT; Revisiting Part C)
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Elementary mathematics, Graph of a function, vertical line