Consider the function y Can x be 0?
-Graph the equation |x| + |y| = 1 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 |x| + |y| = 1 and decide whether or not the graph represents a function of x. 
A) Function 
B) Not a Function

Quizplus · Accepted Answer

To check whether the graph represents a function or not, we need to see if there is more than one point on the graph for a single value of x.

Let's take x = 0. In this case, the equation becomes |0| + |y| = 1, which simplifies to |y| = 1. This means y can be either 1 or -1. Therefore, there are two points on the graph for x = 0.

Since there are points on the graph for a single value of x, the graph does not represent a function of x. The correct answer is B.

Consider the Function Y Can X Be 0