Question

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. G(x)=?F(x)=?

Answer 1

Hello

to calculate the exponential value of the functions, simply calculate the exponential value of (x)

$\begin{gathered} \text{when x = -2} \\ f(x)=e^{-2}=0.135 \\ g(x)=e^{-2}=0.135 \end{gathered}$$\begin{gathered} \text{when x = -1} \\ f(x)=e^{-1}=0.3678 \\ g(x)=e^{-1}=0.3678 \end{gathered}$$\begin{gathered} \text{when x = 0} \\ f(x)=e^0=1 \\ g(x)=e^0=1 \end{gathered}$

when x = 1

$\begin{gathered} \text{when x = 1} \\ f(x)=e^1=2.7183 \\ g(x)=e^1=2.7183 \end{gathered}$

when x = 2

$\begin{gathered} \text{when x = 2} \\ f(x)=e^2=7.389 \\ g(x)=e^2=7.389 \end{gathered}$

from the calculations above, none of the function is exponential