Answer:
y = 4[tex](7)^{x}[/tex]
Step-by-step explanation:
The form of the exponential function is y = a [tex]b^{x}[/tex]
Use the given points to solve for a and b
Using (0, 4 ), then
4 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus a = 4
y = 4 [tex]b^{x}[/tex]
Using (2, 196 ), then
196 = 4b² ( divide both sides by 4 )
49 = b² ( take the square root of both sides )
b = [tex]\sqrt{49}[/tex] = 7
y = 4[tex](7)^{x}[/tex] ← exponential function
