Properties of exponential functions, Algebra

Assignment Help:

Properties of f( x ) = b x

1. The graph of f( x ) will always have the point (0,1).  Or put another way, f(0) = 1 in spite of of the value of b.

2. For every possible b bx= 0 .  Note that it implies that bx  ≠ 0 .

3. If 0 < b < 1 then the graph of bx will decrease as we move from left to right.  Verify the graph of ( 1 /2)x above for verification of this property.

4. If b = 1 then the graph of bx will enhance as we move from left to right.  Verify the graph of 2x  above for verification of this property.

5. If bx= b y then x = y

All of these properties in spite of the final one can be verified simply from the graphs in the first instance.


Related Discussions:- Properties of exponential functions

Inverse function, Write the inverse function of: f(x)=4x-1

Write the inverse function of: f(x)=4x-1

Facts about function composition, We have to note a couple of things here r...

We have to note a couple of things here regarding function composition.  Primary it is NOT multiplication. Regardless of what the notation may recommend to you it is simply not

Using linear algebra calculate the equilibrium , using linear algebra calcu...

using linear algebra calculate the equilibrium P 1 ,P 2 ,P 3 for the following three good market model. (1) Qs1=-7+P1 (2) Qd1=15-P1+2P2+P3 (3) Qs1=Qd1 (4) Qs2=-4+4P2

Alligation Method, You need to prepare a 30 mL solution of a 1:6 syrup solu...

You need to prepare a 30 mL solution of a 1:6 syrup solution. You have on hand a 50% syrup solution and a 1:200 soda solution. How many mL of each solution will you need?

Method to solve systems, There is a third method that we'll be looking at t...

There is a third method that we'll be looking at to solve systems of two equations, but it's a little more complicated and is probably more useful for systems with at least three e

Deacay, Ask quesThe above model describes the exponential decay of chemical...

Ask quesThe above model describes the exponential decay of chemical element. t is the time in years, Q(0) is the initial amount of the chemical element, Q(t) is the amount of chemi

Geometric definition of absolute value equations, In this definition we wil...

In this definition we will think of |p| as the distance of p from the origin onto a number line. Also we will always employ a positive value for distance.  Assume the following num

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