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

Constant function, It is probably the easiest function which we'll ever gra...

It is probably the easiest function which we'll ever graph and still it is one of the functions which tend to cause problems for students. The most general form for the constant

Mixing problems, It is the final type of problems which we'll be looking at...

It is the final type of problems which we'll be looking at in this section.  We are going to be looking at mixing solutions of distinct percentages to obtain a new percentage. The

Word problem, Lizeth noticed that her grandparents’ birth dates have an u...

Lizeth noticed that her grandparents’ birth dates have an unusual property. Her grandmother was born 5- 31-36, and her grandfather was born 9-25-34. Furthermore, her great-g

6 Questions, Scores on a statewide standardized test are normally distribut...

Scores on a statewide standardized test are normally distributed with a mean of 12.89 and a standard deviation of 1.95. Certificates are given to students whose scores are in the t

Inaliz, i need help on the rate of change!!

i need help on the rate of change!!

Word Problem, Preston wants to build a cement patio that will be 8 meters b...

Preston wants to build a cement patio that will be 8 meters by 11 meters. It will cost $1.84 per square meter to build. What will be the total cost of the patio?

#transforming quadratic and square root functions, how would i solve one of...

how would i solve one of these functions. like how would i find the domain and range? and may i get an example.

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