Consider the function y Can x be 0?
-Graph the equation |y| = x and decide whether or not the graph represents a function of x.
A) Function
B) Not a Function

Question

Consider the function y Can x be 0?
-Graph the equation |y| = x and decide whether or not the graph represents a function of x. 
A) Function 
B) Not a Function

Quizplus · Accepted Answer

The graph of |y| = x is a V-shaped graph with the vertex at the origin. However, for every value of x, there are two possible values of y (positive and negative), which means that there are multiple y-values for a single x-value. This violates the definition of a function, which states that for every x-value, there can only be one corresponding y-value. Therefore, |y| = x is not a function of x. And, x cannot be 0, as it would result in an undefined value for y.

Consider the Function Y Can X Be 0