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

Ratio, In 2000,the average price for a gallon of gasoline in Mexico was $2....

In 2000,the average price for a gallon of gasoline in Mexico was $2.02. Write a ratio equivalent to $2.02:1 to find out how many gallons of gasoline could have been purchased for $

Compound and simple interests, Scenario: A client comes to you for investme...

Scenario: A client comes to you for investment advice on his $500,000 winnings from the lottery. He has been offered the following options by three different financial institutions

Solve each variable, solve each equation for given variable 3ab-2bc=12;

solve each equation for given variable 3ab-2bc=12;

Solutions and linear combination, how do you find the solution using linear...

how do you find the solution using linear combinations 4x+3y=-1 and -3x+-5y=9

Trinomials, Simplify 3(x-2)to the second -2(x+1)

Simplify 3(x-2)to the second -2(x+1)

Negative Integer Exponents, In 1975, the U.S. Environmental protection agen...

In 1975, the U.S. Environmental protection agency set a standard of 50 parts per billion of lead in drinking water. In 1991, a new standard was set that safe water contains less th

Fx, How do i do an fx problem?

How do i do an fx problem?

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