 # The values of two functions, f and g, are given in a table. One, both, or neithe facas9 2021-09-08 Answered

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. (If an answer does not exist, enter DNE.)
$\begin{array}{|llllll|}\hline x& -2& -1& 0& 1& 2\\ f\left(x\right)& 2& 4& 8& 16& 32\\ g\left(x\right)& 7& 0& 1& 0& 7\\ \hline\end{array}$

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Given:
Values of two functions f(x) and g(x) are given.
From the given data,
f(x) is the only function which is exponential.
Finding Equation of f(x):
First term, a=2
Growth factor, $b=\frac{4}{2}=2$
Equation of the exponential function is given by:
$⇒f\left(x\right)=a{\left(b\right)}^{x}$
$⇒f\left(x\right)=2{\left(2\right)}^{x}$