Is {y = 6} ^ {x + 1} an exponential function

Is {y = 6} ^ {x + 1} an exponential function

No. the form of the exponent is fixed, y = a ^ x (where a > 0 and a is not equal to 1)
The {y = 6} ^ {x + 1} is called a quasi exponential function, not an exponential function

How to judge the monotonicity of composite function of exponential function?
It's better to give some examples,

The law of monotonicity: (1) if the functions y = f (U) and u = g (x) are both increasing functions or decreasing functions, then the composite function y = f [g (x)] is increasing function! (2) if one of the functions y = f (U) and u = g (x) is increasing function and the other is decreasing function, then the composite function y = f [g (x)] is decreasing function

How to find the monotonicity of exponential function?
Take a simple example: y = 5 superscript x power, using the definition method

Make x10
y2=5^x2>0
y1/y2
=5^x1/5^x2
=5^(x1-x2)
Because x1