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Elina [12.6K]
2 years ago
10

Function f is shown in the table. What type of function is function f?

Mathematics
2 answers:
stepladder [879]2 years ago
6 0

Answer:

It is an exponential function.

Step-by-step explanation:

From the given table it is notices than the vale of y is not increasing at the same rate, therefore the function is not linear.

The value of y increases at the increasing rate, therefore the table may be shows the exponential function.

The general for of exponential function is

y=ab^x

At x=1, y=2.

2=ab^1

2=ab          .... (1)

At x=-1, y=32.

32=ab^{-1}

32=\frac{a}{b}    .... (2)

Multiply equation (1) and (2).

a^2=64

a=8

put this value is equation (1)

8b=2

b=\frac{1}{4}

Therefore the function is

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

Now put all values of x one by one. If all the points satisfied by this equation, then the table shows the exponential function.

At x=-6,

y=8(\frac{1}{4})^{-6}=8192

At x=-3,

y=8(\frac{1}{4})^{-3}=512

At x=3,

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

Since all the points satisfied by this equation, then the table shows the exponential function.

beks73 [17]2 years ago
4 0
I believe it is neither

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