#### Theory of Functions and Graphs

Functions and Their Graphs:

Chapter Summary:

The graph of a function can provide us a great deal of information regarding the function. In this section we will use the graph of a function to calculate the function, determine the x- and y -intercepts (if any one), the domain and range, and find out where the function is decreasing or increasing (that is, a significant idea in calculus).

To state that f (−3) = 1 signifies that the point (−3, 1) is on the graph of f (x). When (5, 4) is a point on graph of f (x), then f (5) = 4.

Key topics included in this chapter:

1) Graphs and Graphing Utilities
2) Lines in the Plane
3) Functions
4) Graphs of Functions
5) Shifting, Reflecting, and Stretching Graphs
6) Combinations of Functions
7) Inverse Functions

The table given below briefly defines some of the function:

Function          Definition                                                             Example

Linear             The highest power over the x variable is             y = 2x + 1
Quadratic        The highest power over the x variable(s) is 2      y = -2x2 -7x + 2
Cubic               The highest power over the x variable(s) is 3      y = x3 + 3x2 + x
Logarithmic     The log of the x variable is taken                          y = log (x)

Latest technology based Algebra Online Tutoring Assistance

Tutors, at the www.tutorsglobe.com, take pledge to provide full satisfaction and assurance in Algebra help via online tutoring. Students are getting 100% satisfaction by online tutors across the globe. Here you can get homework help for Algebra, project ideas and tutorials. We provide email based Algebra help. You can join us to ask queries 24x7 with live, experienced and qualified online tutors specialized in Algebra. Through Online Tutoring, you would be able to complete your homework or assignments at your home. Tutors at the TutorsGlobe are committed to provide the best quality online tutoring assistance for Algebra Homework help and assignment help services. They use their experience, as they have solved thousands of the Algebra assignments, which may help you to solve your complex issues of Algebra. TutorsGlobe assure for the best quality compliance to your homework. Compromise with quality is not in our dictionary. If we feel that we are not able to provide the homework help as per the deadline or given instruction by the student, we refund the money of the student without any delay.