The exponential function is
Step-by-step explanation:
The form of the exponential function is , where
- a is the value of y when x = 0
- b is the rate of change
∵ The form of the exponential function is
∵ The function goes through points (0 , 12) and (2 , 768)
- Substitute the coordinates of the first point to find the value of a
∵ x = 0 and y = 12
∴
∵
∴ 12 = a(1)
∴ a = 12
Substitute the value of a in the form of the function
∴
- Substitute the coordinates of the second point to find the value of b
∵ x = 2 and y = 768
∴
- Divide both sides by 12
∴ 64 = b²
- Take √ for both sides
∴ b = 8
- Substitute the value of b in the form of the function
∴
The exponential function is
Learn more:
You can learn more about the logarithmic function in brainly.com/question/1447265
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