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.
|Calculator Functions||Calculate Exponential Function|
|Calculate Inverse Function||calculating gamma function|
Some of the types of functions are following below,
If a function f (m) is, then its function of inverse is f-1(m).
f-1 (m) = 1/f (m)
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|, m2 and so on.
Real variables present in the odd function.
-f (m) = f (-m)
f (m) + f (-m) = 0
Example: m, m3, and so on.
The function that f (m) = am + b, where a and b are constants, where am + b = 0 is called as linear function.
A function that f (m) = am2 + bm +c, where a, b and c are constants called as quadratic function.
A function that f (m) =am3 + bm 2 + cm + d, where a, b, c and d are constants called as cubic function.
A function that moves in only one direction called as monotonic function.
Example: f (m) = cos (m) + 4.
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) = em, e is unequal to zero called as exponential form function.
A function that inverse of exponential called as exponential function.
f (m) = log2(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) = x2 + 7.
x2 + 7 = 11
x2 = 11 – 7
x2 = 4
x = 2
Answer: x = 2.
Example problem 2: Functions
Find out the function f (x) = x3 – 17, if the value of x is 1, 2 and 3.
f (x) = x3 – 17
f (1) = (1)3 – 17
= 1 –1 7
when x = 2
f (2) = (2)3 – 17
= 8 – 17
when x = 3
f (3) = (3)3 – 17
= 27 – 17
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|