Answer:
2nd option
Step-by-step explanation:
The standard form of an exponential function is
y = a[tex]b^{x}[/tex]
Use points on the graph to find a and b
Using (0, 5 ) , then
5 = a[tex]b^{0}[/tex] = a
Then
y = 5[tex]b^{x}[/tex]
Using (1, 2 )
2 = 5[tex]b^{1}[/tex] = 5b ( divide both sides by 5 )
[tex]\frac{2}{5}[/tex] = b
Thus
f(x) = 5[tex](\frac{2}{5}) ^{x}[/tex] ← equation of graph
