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

Simplifying and solving radicals, I have an algebra test tomorrow and still...

I have an algebra test tomorrow and still don''t understand how to simplify and solve radicals

Equations and inequalities problem solving, 1.Ms. Nioka and seven of her fr...

1.Ms. Nioka and seven of her friends went out to eat. They decided to split the bill evenly. each person paid $8.73. What was the total bill.

Example of simpler method, Example   Solve out following.              ...

Example   Solve out following.                                           5 3x =5 7x-2 Solution In this we have the similar base on both exponentials hence there really

Pronumeral, A hotel places several small packs of butter on tables at break...

A hotel places several small packs of butter on tables at breakfast. The number of packs is given by the formula: b=3xg+1. B is the number of packs of butter, and g is the number

Linear programing, Trees in urban areas help keep air fresh by absorbing ca...

Trees in urban areas help keep air fresh by absorbing carbon dioxide. A city has $2100 to spend on planting spruce and maple trees. The land available for planting is 45,000 ft2. H

Word problems, can you help me solve this problem?

can you help me solve this problem?

Problem, how to do this problem using quadratic formula to solve the equati...

how to do this problem using quadratic formula to solve the equation 2xexpont 2 minus 9x equals 1

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