The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are

Suman Cole

Suman Cole

Answered question

2021-02-25

The values of two functions, f and g, are given in a table. One, both, or neither of them may be exponential. Give the exponential models for those that are.
f(x)-?
g(x)-??
X21012f(x)1.1252.254.5918g(x)168421

Answer & Explanation

Layton

Layton

Skilled2021-02-26Added 89 answers

Given table show the value of the two functions f(x) and g(x) at -2,-1,0,1,2.
To find f(x):
From the table it is clear that for every increment of x by 1 unit, the value of f(x) gets multiplied by 2.
So, let f(x)=k.2x.
Given f(0)=4.5k.20=4.5k=4.5
Hence f(x)=(4.5).2x
To find g(x):
From the table it is clear that for every increment of x by 1 unit, the value of f(x) get halved.
So, let g(x)=k.(12)x
Given: g(0)=4k.(12)0=4k=4
Hence g(x)=4.(12)x
Thus, the exponential modes of two function are f(x)=(4.5).2x, g(x)=4.(12)x

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