Question

Use the drop down menus below to identify whether the graphs below are functions. Graph 1 Graph 2 Graph 3 Graph 1: Select a Value Graph 2: Select a Value Graph 3: Select a Value

Answer 1

Graph 1 is not a function.

Graph 2 is a function.

Graph 3 is a function.

Step-by-step explanation

A function is an expression that takes up each value of an independent variable (x) and gives a corresponding value of a dependent variable (y) without the same values of the independent variable (x) giving different values of the dependent variable (y).

So the graphs that'll be for functions wii have every x-value having only one corresponding y-value.

Graph 1

This graph of a circle essentially has values of x with multiple corresponding values of y. For example, when x = 0, we can see that y = 4 and y = -4.

Hence, this graph is not a function.

Graph 2

The function represented is a straight line with each x-value having only one corresponding y-value.

Hence, this represents a function.

Graph 3

This graph covers the x-axis in a manner that each x-value has only one corresponding y-value.

Hence, this graph represents a function too.

Hope this Helps!!!