Question
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)
, and base, b
, of the function f(x)=abx if its graph passes through the points (0, 4) and (1, 20) .(2 points)
Answers
GPT 3.5
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.
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.