Answer:
y = 4(9)^x
Explanation:
To find the equation of an exponential function in the form y = ab^x that passes through two given points, we need to use the following steps:
Step 1: Find the value of a by plugging in the coordinates of the first point (0,4).
y = ab^x
4 = ab^0
4 = a(1)
a = 4
Step 2: Find the value of b by plugging in the coordinates of the second point (3,2916) and using the value of a we found in Step 1.
y = ab^x
2916 = 4b^3
b^3 = 729
b = 9
Step 3: Write the equation in the form y = ab^x using the values of a and b we found in Steps 1 and 2.
y = 4(9)^x
Therefore, the exponential function in the form of y = ab^x that passes through the points (0,4) and (3,2916) is y = 4(9)^x.
Hope this helps, I'm sorry if it doesn't. If you need more help, ask me! :]