Answer:
c
Step-by-step explanation:
an exponential function of the form
y = a[tex]b^{x}[/tex]
to find a and b use ordered pairs from the table
using (0, 0.5 ) , then
0.5 = a[tex]b^{0}[/tex] [ [tex]b^{0}[/tex] = 1 ] , then
a = 0.5
so y = 0.5[tex]b^{x}[/tex]
using (1, 2 ) , then
2 = 0.5[tex]b^{1}[/tex] = 0.5b ( divide both sides by 0.5 )
4 = b
then exponential function represented by the table is
y = 0.5 [tex](4)^{x}[/tex]
