Solution
Step 1:
Create a table
Step 2:
Write an exponential function with constant a and b
[tex]y\text{ = a\lparen b\rparen}^x[/tex]
Step 3:
Find a and b by substituting x = 0, y = 3 and x = 1 , y = 6
[tex]\begin{gathered} y\text{ = a\lparen b\rparen}^x \\ 3\text{ = a }\times\text{ b}^0 \\ a\text{ = 3} \\ 6\text{ = a }\times\text{ b}^1 \\ 6\text{ = ab} \\ 6\text{ = 3b} \\ b\text{ = }\frac{6}{3}\text{ = 2} \end{gathered}[/tex]
a = 3 , b = 2
Step 3
[tex]\text{y = 3}\times\text{ 2}^x[/tex]
Final answer
[tex]\text{y = 3 }\times\text{ 2}^x[/tex]
