Question

The graph of the function f(x)=2^x/a passes through the points (0,b) and (2,0.8). Calculate the values of a and b.
Thank you so much for huge help:)))

Answer 1

Substitute the pints to the function:

at (0,b):
f(x) = 2^x / a
b = 2^0 / a
b = 1/a

at (2,0.8):
f(x) = 2^x / a
0.8 = 2^2 / a
0.8 = 4 / a
a = 4 / 0.8
a = 5

Substituting to the equation for b,
b = 1/a
b = 1/5

Hope this helps :3