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Determine which of the following graphs represent & one sentence to explain why or why not:

one function. Write a

21 -20 -15 -10 –

Dai

-1

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00:25

Determine whether the graph represents a function. Explain your reasoning.

00:04

00:08

00:10

Transcript

We now determine the graphs which represents a 1-1 function. So for that we can perform a horizontal line test on these graphs. So let’s consider the graph in part a. So I’m going to use this blue horizontal line and I’m going to move it from up and down. So whenever I move it from up and down across the graph, this horizontal line should intersect at exactly one point on its graph. So suppose if I place the horizontal line here, it intersects the graph at this point and now I take this house on the line and move it up and down. So here it intersects the graph at this point. So likewise, if I move it from up and down, it should intersect at exactly one point on the graph. Then we see that the function is 1 to 1, clearly, the function in part is 1 to 1 because it passes the horizontal line test. That is whenever we move the horizontal line from up and down through the graph, it intersects the graph at exactly one point. So we see that The graph given in party is 1- one. Now let’s determine if the graph given in part B represents a 1-1 function. Using the horizontal line test. So I’m going to take this horizontal line, move it from up to down and I’m going to see if the horizontal line intersects the graph at exactly at one point. I can see that whenever I move it from up to down it intersects at exactly one point. So at this point it is intersex. And for example, when they moved here it intersects at at this point. So and I move it don’t Like this. So on 2nd and 10 tests exactly at one point. So we can see that. It also passes the horizontal line test. So we say that the graph given in part B Also represents a 1- one function. Now let’s check the graph given in parsi. So once again, I’m going to use this horizontal line before that. I see that this graph…

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