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

Rings homomorphisms, if A is an ideal and phi is onto S,then phi(A)is an id...

if A is an ideal and phi is onto S,then phi(A)is an ideal.

Ratio, Veronica''s family ordered 2 pizzas that cost $13.75 each and 2 pitc...

Veronica''s family ordered 2 pizzas that cost $13.75 each and 2 pitchers of soda that cost $3.95 each. The total cost included a sales tax of 5.5%. They left 20% of the total cost

Equations, if a-b equals 73 what is a

if a-b equals 73 what is a

Determine the zeroes of polynomials, Example : determine the zeroes of foll...

Example : determine the zeroes of following polynomials. P ( x)= 5x 5 - 20x 4 +5x3 + 50x2 - 20x - 40 = 5 (x + 1) 2 ( x - 2) 3 Solution In this the factoring has been

Percentage, Two sessions of swimming lessons were held at a pool. In the fi...

Two sessions of swimming lessons were held at a pool. In the first session 40 students attended. Of these 40 students 60% were girls. How many girls attended the first session of s

Hyperbolas, The next graph that we have to look at is the hyperbola.  There...

The next graph that we have to look at is the hyperbola.  There are two standard forms of a hyperbola.  Here are instance of each. Hyperbolas contain two vaguely parabola s

Calculus, how to solve calculus?

how to solve calculus?

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