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

Example of function evaluations, Given  f ( x ) = x 2 - 2 x + 8 and  g( x ...

Given  f ( x ) = x 2 - 2 x + 8 and  g( x ) = √(x+ 6) evaluate f (3) and g(3) Solution Okay we've two function evaluations to do here and we've also obtained two functions

Quadratic number problems , if the square of a positive number is decreased...

if the square of a positive number is decreased by 10, the result is 6. find the number

Substitution method, i need to know the steps to 3x+4y=8 and -5x-3y=5 using...

i need to know the steps to 3x+4y=8 and -5x-3y=5 using the substitution method.

Square of trinomial., 1.(x+y+1)² 2.(x+y-1)² 3.(x-y-1)² 4.(-x-y-1)² question...

1.(x+y+1)² 2.(x+y-1)² 3.(x-y-1)² 4.(-x-y-1)² question: what is the effect of switching the plus sign to minus sign on the product

Word problems, Mr.Carr is installing wall-to-wall carpeting in a room that ...

Mr.Carr is installing wall-to-wall carpeting in a room that measures 12 1/2ft. by 9ft. How much will it cost Mr. Carr if he purchases carpet priced at $26.00 per square yard?

Solving quadratic equations, In the earlier two sections we've talked quite...

In the earlier two sections we've talked quite a bit regarding solving quadratic equations.  A logical question to ask at this point is which method has to we employ to solve a giv

Crossword help, what is the three in four to the third power?

what is the three in four to the third power?

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