To find the initial value, a, and the base, b, we can substitute the points (0,4) and (1,20) into the function f(x) = ab^x.
1. Using point (0,4):
When x = 0, f(x) = 4:
f(0) = ab^0 = 4
a = 4
2. Using point (1,20):
When x = 1, f(x) = 20:
f(1) = 4b^1 = 20
b = 20/4 = 5
Therefore, the initial value, a, is 4 and the base, b, is 5. The function is f(x) = 4 * 5^x.
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)
1 answer