Exponential function y = a ^ x + 3 over fixed point——

Exponential function y = a ^ x + 3 over fixed point——

When x = 0, there must be: A ^ x = 1
Therefore, the exponential function must pass the fixed point: (0,4)

Is y = (x-1) ^ (1 / x-3) an exponential function?

No
The exponential function is y = a ^ X
That is, the base number is a constant
Here both the base and the exponent have X
So it's a power exponential function

Are y = 2 ^ (x + 1) and y = 3 * 2 ^ x exponential functions

No
The exponential function is y = a ^ X
That is, the exponent is x, and there is no coefficient in front of it, or the coefficient is 1
So neither of these is an exponential function