For each graph below, state whether it represents function_ Graph Graph 2 Graph 3 Function? Yes No Graph 4 Yes No Graph 5 No Yes Graph Function? Yes Yes

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06-12-2022
Mathematics

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For each graph below, state whether it represents function_ Graph Graph 2 Graph 3 Function? Yes No Graph 4 Yes No Graph 5 No Yes Graph Function? Yes Yes

Sagot :

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qwlight qwlight · Answer 1 · 2022-12-13T00:23:46-05:00

Graphs 1,5 are functions while graphs 2,3,4,6 are not functions.

A graph represents a function if it has one and only one y value or no y value for each x. If the graph has multiple y values for any x, then it is not a graph of a function.

We can check if the following graphs are functions or not by using the vertical line test.

In the vertical line test, we draw a vertical line across the function and if that line touches two points on the graph means the graph is not a function as per the definition of the function.

Let us apply this to the following graphs -

1. Graph 1- If we draw a vertical line and drag it from left to right, we see that no two points line on the same line. So, graph 1 is a function.

2. Graph 2 - If we draw a vertical line and drag it from left to right, we see that the line crosse two points on each number. So, graph 2 is clearly not a function.

3. Graph 3 - Here too, if a vertical line is drawn and dragged from left to right, we cross two points on every number. So, graph 3 is also not a function.

4. Graph 4 - If we draw a vertical line and drag it from left to right, we see that at some places the line crosse two points on each number. So, graph 4 too, is not a function.

5. Graph 5 - If we draw a vertical line and drag it from left to right, we see that no two points line on the same line. So, graph 5 is a function.

6. Graph 6 - Here also, if a vertical line is drawn and dragged from left to right, we cross two points on point -1. So, graph 6 is also not a function.

Hence, we can conclude that - Graph 1,5 are functions while graphs 2,3,4,6 are not functions.

Sagot :

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