General approach of exponential functions, Mathematics

Assignment Help:

General approach of Exponential Functions :Before getting to this function let's take a much more general approach to things. Let's begin with b = 0 , b ≠ 1. Then an exponential function is a function in the form,

                                       f( x ) = b x

Note that we avoid b = 1 since that would give the constant function, f( x ) = 1 .  We ignore

b= 0 as this would also give a constant function and we ignore negative values of b for the following cause. Let's, for a second, assume that we did let b to be negative and look at the given function.

                                        g( x ) = ( -4)x

Let's perform some evaluation.

g( 2)= ( -4)2 =16            g (1/2) =  ( -4)2   =√   -4 = 2i

hence, for some values of x we will obtain real numbers and for other values of x well we get complex numbers.  We desire to avoid this and thus if we require b = 0 this will not be a problem.


Related Discussions:- General approach of exponential functions

Study market, what toold we need to study market

what toold we need to study market

Expected opportunity loss or eol method, Expected opportunity loss or EOL m...

Expected opportunity loss or EOL method EOL method is aimed at minimizing the expected opportunity loss or OEL. The decision maker chooses the strategy along with the minimum e

Example of set theory, Suggest me the solution: Consider the given unive...

Suggest me the solution: Consider the given universal set T and its subjects C, D and E T = {0, 2, 4, 6, 8, 10, 12} C = {4, 8,} D = {10, 2, 0} E = {0} Find out

Direction fields in newtons law, One of the simplest physical situations to...

One of the simplest physical situations to imagine of is a falling object. Thus let's consider a falling object along with mass m and derive a differential equation as, when resolv

How long will the board be after he makes the cut, Tom is cutting a piece o...

Tom is cutting a piece of wood to form a shelf. He cut the wood to 3.5 feet, but it is too long to fit in the bookshelf he is forming. He decides to cut 0.25 feet off the board. Ho

Integrated marketing, #question.Explain its nature and how it influences th...

#question.Explain its nature and how it influences the integrated marketing communications mix and distinguish between tactical and strategic use of integrated marketing communicat

DECIMALS, the mass of a container is 5.81kg when full with sugar .the mass ...

the mass of a container is 5.81kg when full with sugar .the mass of container is 3.8kg when 3/8 of the sugar is removed.what is the mass of empty container

Word problem, adison earned $25 mowing her neighbor''s lawn. then she loane...

adison earned $25 mowing her neighbor''s lawn. then she loaned her friend $18, and got $50 from her grandmother for her birthday. she now has $86. how much money did adison have to

Quadratic equation, can anyone explain me the concept of quadratic equation...

can anyone explain me the concept of quadratic equation?

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd