Concept explainers
To explain: The logic behind the vertical test for the graph of function.
Answer to Problem 35E
A function gives a unique value for each value of
Explanation of Solution
Given information: The vertical line test is used to check that whether a curve is the graph of a function or not: If every vertical line in the
According to the definition of a function is a curve that gives a unique functional value for every value of
So, a function gives a unique value of
Therefore, a vertical line intersects the curve at only one point if it is a function.
Chapter 1 Solutions
Calculus: Graphical, Numerical, Algebraic
Additional Math Textbook Solutions
Thomas' Calculus: Early Transcendentals (14th Edition)
Precalculus Enhanced with Graphing Utilities (7th Edition)
University Calculus: Early Transcendentals (3rd Edition)
Calculus, Single Variable: Early Transcendentals (3rd Edition)
Calculus & Its Applications (14th Edition)
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