Explain how the vertical line test is used to detect functions.
Step-by-step solution Step 1 of 1 Vertical line test is used to detect function, According to the vertical line test: A graph represents a function if and only if it passes the vertical line test: Every vertical line intersect the graph at most once. A graph that fails this test does not represent a function. The vertical test tells us that if the vertical line intersects the graph in more than one point, then for one value of x we have more than o ne value of f (x). In this case the graph does not represent the function, because one of definition of function is that for one value of x we have one and only one value of f (x). For example: Here first graph shows a function but second is not.
Textbook: Calculus: Early Transcendentals
Author: William L. Briggs, Lyle Cochran, Bernard Gillett
Calculus: Early Transcendentals was written by and is associated to the ISBN: 9780321570567. The full step-by-step solution to problem: 3E from chapter: 1.1 was answered by , our top Calculus solution expert on 03/03/17, 03:45PM. This full solution covers the following key subjects: detect, explain, functions, line, test. This expansive textbook survival guide covers 85 chapters, and 5218 solutions. This textbook survival guide was created for the textbook: Calculus: Early Transcendentals, edition: 1. The answer to “Explain how the vertical line test is used to detect functions.” is broken down into a number of easy to follow steps, and 11 words. Since the solution to 3E from 1.1 chapter was answered, more than 379 students have viewed the full step-by-step answer.