Identify the initial value, a

, and base, b
, of the function f(x)=abx if its graph passes through the points (0, 4) and (1, 20) .(2 points)

1 answer

To find the initial value, a, we can substitute the point (0, 4) into the function f(x) = ab^x:

4 = ab^0
4 = a

Therefore, the initial value is a = 4.

To find the base, b, we can substitute the point (1, 20) into the function f(x) = ab^x:

20 = 4 * b^1
20 = 4b
b = 5

Therefore, the base is b = 5.