SOLUTIONS
To determine the equation of the power function? Why or why not? If you can, find the equation of the power
[tex]\begin{gathered} (4,2) \\ x=4,y=2 \end{gathered}[/tex]
It is easy to get the graph of the exponential function since x - value = 4 and y - value = 2.
An exponential function is defined by the formula f(x) = x^a, where the input variable x occurs as an exponent. The exponential curve depends on the exponential function and it depends on the value of the x.
The general equation of an exponential function is
[tex]y=x^a[/tex][tex]\begin{gathered} y=2,x=4 \\ 2=4^a \\ 4^{\frac{1}{2}}=4^a \\ a=\frac{1}{2} \end{gathered}[/tex]
[tex]y=x^{\frac{1}{2}}[/tex]
