Answer:
2nd option
Step-by-step explanation:
The exponential function is of the form
y = a[tex]b^{x}[/tex]
Use the points on the graph to find values of a and b
Using (0, 0.5 ) , then
0.5 = a[tex]b^{0}[/tex] ( [tex]b^{0}[/tex] = 1 ) , so
a = 0.5 = [tex]\frac{1}{2}[/tex]
y = [tex]\frac{1}{2}[/tex][tex]b^{x}[/tex]
Using (1, 1 )
1 = [tex]\frac{1}{2}[/tex] [tex]b^{1}[/tex] ( multiply both sides by 2 )
2 = b
Then
y = [tex]\frac{1}{2}[/tex] [tex](2)^{x}[/tex] ← exponential function representing graph
