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RSB [31]
3 years ago
13

Which relation is a function?

Mathematics
1 answer:
dimulka [17.4K]3 years ago
7 0
The definition of a function is that for each input, there is only one output. Thus, the answer to your question is A, as it is the only answer option that each input has only one output. In answer choice B, the input -1 has outputs of both -2 and -5. In answer choice C, the input 4 has outputs of both 3 and 0. Finally, in answer choice D, the input -4 has outputs of both -4 and 4. Therefore, answer A is the only function because it is the only option that follows the definition. Hope this helps! :)
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To write an equation for this line, you first need to understand how to derive it.

Let's utilize slope-intercept form, as it's the easiest to understand compared to any other form for line functions:

y = mx + b

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The slope is a measure of how high or low the line is. The number is a ratio between the rise and run of a slope. In other words, it is essentially \frac{rise}{run}

Let's look back at the graph. In the time interval from 1 to 2 seconds, we see that the line rises by 22 feet. Because the time interval is only 1 second, the run is 1 second.

Therefore:

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As you can see from the graph you made, the value of y when x is 0 is also 0. This makes sense, too. How can the cheetah travel distance at 0 seconds when it obviously hasn't started moving? We now know b = 0. Now, we have gotten all of the variables we need to make a full equation:

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If you'd like me to explain how I did anything, just ask!

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Step-by-step explanation:

Attached is the solution. I hope this helps you!!

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