Students can learn about Functions and work problems associated with them. They can get the help of the online Math tutors in understanding the concepts clearly.

**Here we are going to see about the functions and their types in following below.**

Related Calculators | |

Calculator Functions | Calculate Exponential Function |

Calculate Inverse Function | calculating gamma function |

**Some of the types of functions are following below,**

- Inverse functions
- Composite functions
- Odd and even functions
- Polynomial - Linear, Quadratic, Cubic functions
- Exponential and logarithmic functions
- Monotonic functions
- Periodic functions

**Inverse functions:**

If a function f (m) is, then its function of inverse is f^{-1}(m).

f^{-1 }(m) = 1/f (m)

**Composite functions:**

**There are two functions combined.**

Example of composite function,

(f.h) (m) = f (h (m))

(h.f) (m) = h (f (m))

**Even and odd functions:**

**An even function has real variable.**

f (m) = f (-m)

Example: |m|, m^{2} and so on.

**Real variables present in the odd function.**

-f (m) = f (-m)

f (m) + f (-m) = 0

Example: m, m^{3}, and so on.

**Polynomial**

**Linear functions:**

The function that f (m) = am + b, where a and b are constants, where am + b = 0 is called as linear function.

**Quadratic functions:**

A function that f (m) = am^{2 }+ bm +c, where a, b and c are constants called as quadratic function.

**Cubic functions:**

A function that f (m) =am^{3} + bm^{ 2} + cm + d, where a, b, c and d are constants called as cubic function.

**Monotonic functions:**

A function that moves in only one direction called as monotonic function.

Example: f (m) = cos (m) + 4.

**Periodic functions:**

A function that repeats over particular interval of time called periodic function.

Example: sin (m), cos (m).

**Exponential and logarithmic functions:**

A function that f(m) = e^{m}, e is unequal to zero called as exponential form function.

A function that inverse of exponential called as exponential function.

f (m) = log_{2}(m)

Students can learn How to solve functions from the solved examples. Here are some examples:

Example problem 1:** Functions**

Find out the value of x if g (x) = 11 where g (x) = x^{2} + 7.

Solution:

x^{2} + 7 = 11

x^{2} = 11 – 7

x^{2} = 4

x = 2

Answer: x = 2.

Example problem 2: **Functions**

Find out the function f (x) = x^{3} – 17, if the value of x is 1, 2 and 3.

Solution:

f (x) = x^{3} – 17

when x=1

f (1) = (1)^{3} – 17

= 1 –1 7

= -16

when x = 2

f (2) = (2)^{3} – 17

= 8 – 17

= 9

when x = 3

f (3) = (3)^{3} – 17

= 27 – 17

= 10

The correct answer is

x =1; f(x) = -16

x =2; f(x) = 9

x =3; f(x) = 10

Students can alos get help with Algbera homework problems involving Functions from the online tutors.

More topics in Functions | |

Types of Functions | Period of a Function |

Domain and Range of a Function | Vertical Line Test |

Graphing Functions | |