Refer to the following graphs to determine an appropriate response.
-Which is not the graph of a function? What is its equation?
A) graph D; $y = [ [ x ] ]$
B) graph $A ; y = x$
C) graph $B ; x = y ^ { 2 }$
D) graph $C ; y = \sqrt { x }$

Question

Refer to the following graphs to determine an appropriate response. 
-Which is not the graph of a function? What is its equation? 
A) graph D; $y = [ [ x ] ]$ 
B) graph $A ; y = x$ 
C) graph $B ; x = y ^ { 2 }$ 
D) graph $C ; y = \sqrt { x }$

Quizplus · Accepted Answer

Graph B, represented by the equation $x = y^2$, is not the graph of a function because it fails the vertical line test. In a function, for each input (x value), there must be exactly one output (y value). The graph of $x = y^2$ can have two y values for a single x value, which violates the definition of a function.

Refer to the Following Graphs to Determine an Appropriate Response y=[[x]]y = [ [ x ] ]y=[[x]]

Refer to the Following Graphs to Determine an Appropriate Response $y = [ [ x ] ]$