The value of b is 4
Step-by-step explanation:
The form of an exponential function is , where
- a is the initial value (value f(x) at x = 0
- b is the growth/decay factor
- T find the values of a and b substitute x and f(x) by the coordinates of any points belong to the function
∵
∵ The function includes the points (2 , 16) , (3 , 64) , (4 , 256)
- To find b substitute x and f(x) by the coordinates if any point above
∵ x = 2 and f(x) = 16
∴
- Take √ for both sides
∴ ± 4 = b
Substitute x by 3 and f(x) 64 to check your answer
∵
- Take ∛ for both sides
∴ 4 = b
∴ The value of b is 4 only
The value of b is 4
Learn more:
You can learn more about the inverse of the exponential function in brainly.com/question/11921476
#LearnwithBrainly