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\nHow to determine if a function graph has an inverse and if the inverse is a function\n

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\n\nPublisher:\n\nBrian McLogan\n\n\n
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\n👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the \"effect\" of the original function. One important property of the inverse of a function is that when the inverse of a function is...\n👉 Learn how to find the inverse of a function. The inverse of a function is a function that reverses the \"effect\" of the original function. One important property of the inverse of a function is that when the inverse of a function is made the argument (input) of a function, the result is x. Given the graph of a function, we will want to determine first whether the given graph is the graph of a function, this we can achieve using the vertical line test. If a vertical line drawn at any point on the graph intersects the graph at exactly one point, then the graph is the graph of a function. Next, we check if the given graph has an inverse, this we can achieve using the horizontal line test. If a horizontal line drawn at any point on the graph intersects the graph at exactly one point, then the graph has an inverse. To find the inverse of the function, we reflect the graph of the function across the line y = x.\n
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Resource Details

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Educator Rating
Not yet Rated
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Media Length
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7:32
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Grade
12th - Higher Ed
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Subjects
Math
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Media Type
Instructional Videos
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Source:
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\nBrian McLogan\n\n
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Date
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2015
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Language
English
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Audiences
For Teacher Use
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Usage Permissions
Fine Print: Educational Use
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Concepts

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functions, inverse, vertical, polynomials, vertical line test
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math help, how to, math, maths, explain, pre, fast, onto, onto functions, does a function have an inverse that is a function, when does a power function have an inverse relation that is also a function, when does a function have an inverse that is also a function, precalculus, pre-calculus, inverse equations, calculus, horizontal line test, determine if a function has an inverse, free math videos, if the inverse is a function, function graph, reflection point, graphing calculator, understand, thing, guys, graph, line, function, remember, examples, input, output, determining, call 1, kind, 1 input, write, 1 output, determine, ahead, algebraically, reflect, produce, reflecting, reflected, pass, passes
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Best For: Explaining a topic
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