Question

Find the equation of the exponential function represented by the table below: C y 03 1 6 2 12 3 24 Submit Answer Answer: y =

Answer 1

Step 1:

Create a table

Step 2:

Write an exponential function with constant a and b

`y\text{ = a\lparen b\rparen}^x`

Step 3:

Find a and b by substituting x = 0, y = 3 and x = 1 , y = 6

`\begin{gathered} y\text{ = a\lparen b\rparen}^x \\ 3\text{ = a }*\text{ b}^0 \\ a\text{ = 3} \\ 6\text{ = a }*\text{ b}^1 \\ 6\text{ = ab} \\ 6\text{ = 3b} \\ b\text{ = }(6)/(3)\text{ = 2} \end{gathered}`

a = 3 , b = 2

Step 3

`\text{y = 3}*\text{ 2}^x`

Final answer

`\text{y = 3 }*\text{ 2}^x`