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Mathematics

1 answer:

77julia77 [94]3 years ago

6 0

These are linear equations, so there is x and y. On number one the first thing they plotted was (3,8) so in a function table the 3 would be on the left side and the 8 would be on the right side. I’ll leave you with the rule of the first one, if the rule is times 2 plus to the how would you put it in a function table.

The first thing that you would put into the function table on the first question would be as I said earlier 3 and then 8. The rule is the rate. Using a function table will be very helpful (That’s why I keep mentioning one). Let me know if this helps.

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The given table is an example of constant exponential decay.

It is given that

X Y

-4 16

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<h3>What is an exponential function?</h3>

An exponential function is a relation of the form y = a^x, with the independent variable x ranging over the entire real number line as the exponent of a positive number a.

The y-value at -4 is 16 while the y-value at -1 is 2, a decrement of 1/8 times for an increment in x-value by 3

Again, the y-value at 2 is 0.25 while the y-value at 5 is 0.03125, a decrement of 1/8 times for an increment in x-value by 3.

In both cases, the rate of decrement is constant.

So we can say that this is an example of constant exponential decay.

We can also see this behavior from the attached graph.

Therefore, the given table is an example of constant exponential decay.

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