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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

User MeaCulpa
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2 Answers

2 votes
the first answer choice, f(x)=2^x

ex: 2^3= 2*2*2=8
User Harshavardhana
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0 votes

Answer:

First option is correct.

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.

User HotDogCannon
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