Question

Why is b ≠ 1 a condition for f(x) = ab^x?

Answer 1

Step-by-step explanation:

In this case, we hace the following exponential function:

`f(x)=ab^x`

Where:

`a:Initial \ value \\ \\ b:the \ base`

The base
`b\\eq 1` because 1 raised to any power leads the result of 1. That is:

`1^2=1 \\ \\ 1^3=1 \\ \\ 1^(√(3))=1 \\ \\ \\ In \ conclusion: \\ \\ 1^(n)=1, \ \text{n any real number}`

If so, then we won't get an exponential function, but a constant function:

`f(x)=a`