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Sauron [17]
3 years ago
6

What is the exponential function modeled by the following table? x f(x) 3 8 4 16 5 32 (1 point) f(x) = 2x f(x) = x2 f(x) = x3 f(

x) = 3x
Mathematics
2 answers:
Marianna [84]3 years ago
4 0

Answer:

First option is correct.

Step-by-step explanation:

From the given table it is noticed that the exponential function passing through (3,8), (4,16) and (5,32).

Let the exponential function be

f(x)=ab^x

The exponential function passing through (3,8).

8=ab^3      ..... (1)

The exponential function passing through (4,16).

16=ab^4  ..... (2)

Divide equation 2 by equation 1.

2=b

Put this value in equation 1.

8=a(2)^3

8=8a

a=1

The value of a is 1 and the value of b is 2, therefore the function is defined as

f(x)=2^x

Therefore first option is correct.

Oliga [24]3 years ago
3 0
The first answer choice, f(x)=2^x

ex: 2^3= 2*2*2=8 
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