(a)

The function is $\"\"$ .

The function is in the form of $\"\"$ is an exponential function, where $\"\"$ is a positive constant.

The function $\"\"$ is an exponential function.

(b)

The function is $\"\"$ .

The function is in the form of $\"\"$ is a power function, where $\"\"$ is a positive integer.

The function $\"\"$ is a power function.

(c)

The function is $\"\"$ .

Rewrite the function.

$\"\"$ .

The function is in the form of $\"\"$ is a polynomial function of degree $\"\"$ .

The function $\"\"$ is a polynomial function of degree 5.

(d)

The function is $\"\"$ .

The function contains the trigonometric functions

The function $\"\"$ is a trigonometric function.

(e)

The function is $\"\"$ .

The function is in the form of $\"\"$ is a rational function, where $\"\"$ and $\"\"$ are the polynomials.

The function $\"\"$ is a rational function.

(f)

The function is $\"\"$ .

The above function can be constructed using algebraic operations (such as addition, subtraction, multiplication, division, and square roots).

The function $\"\"$ is an algebraic function.

(a) Exponential function.

(b) Power function.

(d) Trigonometric function.

(e) Rational function.

(f) Algebraic function.