Question

Find the starting value and the base for the exponential function f(x)=kb^x that passes through the two points:(0,3) and (2,12).The starting value k is: AnswerThe base b is: Answer

Answer 1

The exponential equation given is,

$f(x)=kb^x$

Given the points

$(0,3)\text{ and (2,12)}$

Therefore, the values for k and b will be resolved graphically.

Let us now plot the graph using a graphical calculator

From the graph,

$\begin{gathered} y_1=f(x) \\ a=k=3 \\ b=2 \end{gathered}$

Final answers

$\begin{gathered} k=3 \\ b=2 \end{gathered}$