Question

Evaluate the 4 graphs below. Which of the graphs is a function?

Answer 1

`\text{ Option }\rightarrow\text{ D}`

Step-by-step explanation: Function is defined as, a set that assigns x to y values, each y value associated with x has to be uniques, and there can not be two values for a single x value. Using this defination we can determine which one is a function (A to D).

`\begin{gathered} X\rightarrow Y \\ Y(X) \end{gathered}`

(A): For x = 3 there are two values of y therefore it can not be a function.

(B): Same is true for x = 3.5, which is that there are two y values associated with the x value.

(C) Similarly, the solid dot represents a value, therefore at x = -3 there are two corresponding y values, therefore it is not a function.

(D) Each x value has a unique y value, and there aren't any two values associated with a single y value. therefore it is a Function.

The answer, therefore, is D.