Properties of exponential functions, Algebra

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.

Posted Date: 4/8/2013 3:12:38 AM | Location : United States







Related Discussions:- Properties of exponential functions, Assignment Help, Ask Question on Properties of exponential functions, Get Answer, Expert's Help, Properties of exponential functions Discussions

Write discussion on Properties of exponential functions
Your posts are moderated
Related Questions

I need some help with Backtracking equations.I have a quiz tomorrow, and i was hoping that you guys could help.

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

These are the only possibilities for solving quadratic equations in standard form.  However Note that if we begin with rational expression in the equation we might get different so

use the given matrix to preform the operation R1+2R2 and select the correct option. 3, -2, 1 1, -3, 4 1, -2, 0 a. 3, -2, 1 5, -8, 9 1, -2, 0 b. 3, -2, 1 2, -6, 8 13,

Given that x=2 is a zero of P ( x ) = x 3 + 2x 2 - 5x - 6 determine the other two zeroes. Solution Firstly, notice that we actually can say the other two since we know th

how do you do proofs?

Three students were participating in a school''s fundraiser. The first student sold 2 candy bars, 7 pies, and 3 cookie dough. The second student sold 10 candy bars, 2 pies, and 2 c

add - 3a + b - 10 -6c, c -d- a + 9 and - 4c +2a - 3b - 7