84. DISCOVER: When Does a Graph Represent a Function? For every integer n, the graph of the equation y = x" is the graph of a function, namely f(x) = x". Explain why the graph of x = y is not the graph of a function of x. Is the graph of x = y' the graph of a function of x? If so, of what function of x is it the graph? Determine for what integers n the graph of x = y" is a graph of a function of x.

Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter2: Functions
Section2.2: Graphs Of Functions
Problem 84E
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Discover: When Does a Graph Represent a Function? For
every integer n, the graph of the equation y  xn
is the graph
of a function, namely f1x2  xn
. Explain why the graph of
x  y2
is not the graph of a function of x. Is the graph of
x  y3
the graph of a function of x? If so, of what function
of x is it the graph? Determine for what integers n the graph
of x  yn
is a graph of a function of x.

84. DISCOVER: When Does a Graph Represent a Function? For
every integer n, the graph of the equation y = x" is the graph
of a function, namely f(x) = x". Explain why the graph of
x = y is not the graph of a function of x. Is the graph of
x = y' the graph of a function of x? If so, of what function
of x is it the graph? Determine for what integers n the graph
of x = y" is a graph of a function of x.
Transcribed Image Text:84. DISCOVER: When Does a Graph Represent a Function? For every integer n, the graph of the equation y = x" is the graph of a function, namely f(x) = x". Explain why the graph of x = y is not the graph of a function of x. Is the graph of x = y' the graph of a function of x? If so, of what function of x is it the graph? Determine for what integers n the graph of x = y" is a graph of a function of x.
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