Answer:
C
Step-by-step explanation:
For the exponential function in the form
y = a [tex]b^{x}[/tex]
Use ordered pairs from the table to find a and b
Using (0, 0.5 ), then
0.5 = a [tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ), thus
0.5 = a
y = 0.5 [tex]b^{x}[/tex]
Using (1, 1.5 ) , then
1.5 = 0.5 [tex]b^{1}[/tex] , hence
b = [tex]\frac{1.5}{0.5}[/tex] = 3
Thus
f(x) = 0.5[tex](3^{x})[/tex] → C
