Answer:
y = 4 [tex](2)^{x}[/tex]
Step-by-step explanation:
For an exponential function in standard form
y = a [tex](b)^{x}[/tex]
To find the values of a and b, use ordered pairs from the table
Using (0, 4 ), then
4 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), so
a = 4
y = 4[tex]b^{x}[/tex]
Using (1, 8 ), then
8 = 4[tex]b^{1}[/tex] = 4b ( divide both sides by 4 )
2 = b
Thus
y = 4 [tex](2)^{x}[/tex] ← exponential function
