Precalc0108to0109-page4 - (Section 1.8 x = f y 1.8.4 PART D...

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(Section 1.8: x = fy () ) 1.8.4 PART D: THE HORIZONTAL LINE TEST (HLT) In Section 1.2, we said that an equation in x and y describes y as a function of x ± its graph passes the Vertical Line Test (VLT) in the xy -plane. We now have: The Horizontal Line Test (HLT) A curve in a coordinate plane passes the Horizontal Line Test (HLT) ± There is no horizontal line that intersects the curve more than once. An equation in x and y describes x as a function of y ± Its graph in the xy -plane passes the HLT . • Then, there is no input y that yields more than one output x . • Then, we can write x = , where f is a function. • A “curve” could be a straight line.
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