# Types of Functions

Exponential An exponential function is a mathematical expression in which a variable represents the exponent of an expression.

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Linear In mathematics, the term linear function refers to two distinct but related notions: In calculus and related areas, a linear function is a polynomial function of degree zero or one, or is the zero polynomial. In linear algebra and functional analysis, a linear function is a linear map.

Logarithmic Further logarithm-like inverse functions include the double logarithm ln(ln(x)), the super- or hyper-4-logarithm (a slight variation of which is called iterated logarithm in computer science), the Lambert W function, and the logit.

Polynomial 1. Introduction A polynomial function is a function such as a quadratic, a cubic, a quartic, and so on, involving only non-negative integer powers of x.

Power A power function is in the form of f(x) = kx^n, where k = all real numbers and n = all real numbers. You can change the way the graph of a power function looks by changing the values of k and n. If n is greater than zero, then the function is proportional to the nth power of x.

source: study.com In algebra, a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic, is a polynomial function in one or more variables in which the highest-degree term is of the second degree.

Rational A function that is the ratio of two polynomials. It is "Rational" because one is divided by the other, like a ratio. Note: the polynomial we divide by cannot be zero.

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Sinusoidal A sinusoidal function is a function that is like a sine function in the sense that the function can be produced by shifting, stretching or compressing the sine function. If necessary you might like to review the graphing shortcuts.

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