Please select the correct function type for those function 1. f(x)=1.02^x 2. f(x)=g(x)\times h(x) with g(x)=10^x and h(x)=10^{2x} 3. f(x)=x^5 4. f(x)=2x^2+x^3 5. f(x)=ln(x) 6. f(x)=(g(x))^3 with g(x)=x^2

f(x)=1.02^x: This is an exponential function. The base of the exponent is a constant (1.02), and the exponent is a variable (x).

f(x)=g(x) * h(x) with g(x)=10^x and h(x)=10^{2x}: This is a product of two exponential functions. Both g(x) and h(x) are exponential functions, and their product is also an exponential function.

f(x)=x^5: This is a polynomial function. The highest power of the variable (x) is a positive integer (5), which defines it as a polynomial.

f(x)=2x^2+x^3: This is also a polynomial function. The highest power of the variable (x) is a positive integer (3).

f(x)=ln(x): This is a logarithmic function. The function represents the natural logarithm of x.

f(x)=(g(x))^3 with g(x)=x^2: This is a composite function, specifically a power of a polynomial function. g(x) is a polynomial function, and raising it to the power of 3 doesn't change this.