Answer:
y = 2[tex](2)^{x}[/tex]
Step-by-step explanation:
For the exponential function in the form
y = a[tex](b)^{x}[/tex]
Use the ordered pairs from the table to find a and b
Using (0, 2 ) , then
2 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , thus
a = 2 , so
y = 2[tex]b^{x}[/tex]
Using (1, 4 ) , then
4 = 2b ( divide both sides by 2 ) , then
b = 2
Thus exponential function is
y = 2[tex](2)^{x}[/tex]
