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

Household Water Use, During a recent rainy day, 72 mm of rain was recorded....

During a recent rainy day, 72 mm of rain was recorded. Calculate how many litres of water will be collected from the roof and stored in the water tank. Remember The volume V

Solve example using logarithms, Example Simplify following logarithms. ...

Example Simplify following logarithms. log 4 ( x 3 y 5 ) Solution Here the instructions may be a little misleading.  While we say simplify we actually mean to say tha

Review, I need a full review on the subject Algebra1 Because i am fixing to...

I need a full review on the subject Algebra1 Because i am fixing to take the states test.

Rational functions, In this last section we have to discuss graphing ration...

In this last section we have to discuss graphing rational functions.  It's is possibly best to begin along a rather simple one that we can do with no all that much knowledge on how

Steve, The following equalities can be used to make conversion factors. 2....

The following equalities can be used to make conversion factors. 2.54 cm = 1 inch 12 inches = 1 foot 1 mile = 5,280 feet 100 cm = 1 m 1000 m = 1 km 36 inches = 1 y

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 $

Quadratic function to vertex form, write the following function x^2-2x-1 in...

write the following function x^2-2x-1 in the form of y=a(x-h)^2+k

Application of linear equation, Sabrina invested 1500000 in stocks and bond...

Sabrina invested 1500000 in stocks and bonds.Her investment in bonds is 5000 more than half her investment in stocks.How much did she invest in each ?

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