Which graph shows a set of ordered pairs that represents a function?

Mathematics

1 answer:

pychu [463]3 years ago

6 0

Answer:

B represents a function.

Step-by-step explanation:

Recall these characteristics of a "function:"

Only one y-value can be associated with each x-value.

Thus, A could not represent a function because there are two points with x = 1 and two different y-values: (1, 1) and (1, -2).

B represents a function because for each input (x-value) there is one and only one y-value associated.

C not a function: (2, 3) and (2, -3) have two different y-values associated with one x-value (2).

D not a function: (-3, 4) and (-3, -4) (see A and C, above)

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So, to compare them, first notice that both are in the same units, meters, so we only need to compare the numbers.

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$\frac{a^n}{a^m} = a^{n - m}$

Let's take the quotient between the diameters and see what we get, I will use the diameter of the bacteria in the numerator, thus if the quotient is larger than 1, it would mean that the bacteria is greater and by how much.

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