Question
Give an example of each type of function.
(a) Linear function (b) Power function
(c) Exponential function (d) Quadratic function
(e) Polynomial of degree 5 (f) Rational function
Answer
(a) A Linear function is a function with degree 1.
The above equation is an example of linear function.
(b) A Power function is a function that is the product of a real number, a coefficient, and a variable raised to a fixed real number.
The above equation is an example of power function.
(c) An Exponential function is a function that a constant is raised to the power of a variable.
The above equation is an example of power function.
(d) A Quadratic function is a function with degree 2.
The above equation is an example of quadratic function.
(e) Polynomial of degree 5 is cobination of terms with atleast one term having a power raised to 5. Each term can be the product of a real number, a coefficient, and a variable raised to a fixed real number.
The above expression is an example of polynomial of degree 5.
(f) A Rational function is a function written as a fraction with polynomials in its numarator and in its denominator.
The above equation is an example of rational function.