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Anastaziya [24]
3 years ago
15

The following table represents a function.

Mathematics
2 answers:
ivanzaharov [21]3 years ago
6 0
The answer is B. Plug in the x values to check the y values.
netineya [11]3 years ago
4 0

Answer:

<h2>B.</h2>

Step-by-step explanation:

To find the right exponential function, we can just take x-values an replace them into the given functions. The one that give the correct y-values will be the answer.

For x=-2, let's see which function gives y=-\frac{1}{8}

y=8(4)^{x-1} \\y=8(4)^{-2-1}\\ y=8(4)^{-3}\\ y=\frac{8}{4^{3} }=\frac{1}{8}

You can observe that function A is not the correct one, because it gives a positive result. However, function B can actually be the answer, because it woud give the same y-value than A but negative, as we need. Let's see

y=-8(4)^{x-1}\\ y=-8(4)^{-2-1}\\ y=-8(4)^{-3}\\ y=-\frac{8}{4^{3} }=-\frac{1}{8}

Let's evalute for x=0

y=-8(4)^{0-1}=-8(4)^{-1}= -\frac{8}{4}=-2

Which is right.

Therefore, the right answer is B.

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