Question

Find an exponential function of the form y = ab* that passes through the points (0,4)

and (2, 100).
Oy=5-4x
Oy=4.5*
Oy-4-2*+84
Oy-25-2x

Answer 1

2nd option

Explanation:

given an exponential function in the form y = a
`b^(x)`

to find a and b use the coordinate points it passes through

using (0, 4 ) , then

4 = a
`b^(0)` [
`b^(0)` = 1 ] , that is

a = 4 , so

y = 4
`b^(x)`

using (2, 100 )

100 = 4b² ( divide both sides by 4 )

25 = b² ( take the square root of both sides )

`√(25)` = b , that is

b = 5

then exponential function is

y = 4 .
`5^(x)`