SOLUTION: 1. Why does the graph of the basic exponential function (y = bx, where b>0, and b not 1) lie entirely above the x-axis? 2. Explain the difference between natural logarithms a

Algebra.Com
Question 91831: 1. Why does the graph of the basic exponential function
(y = bx, where b>0, and b not 1) lie entirely above the x-axis?
2. Explain the difference between natural logarithms and common logarithms.

Answer by Nate(3500)   (Show Source): You can put this solution on YOUR website!
1. Why does the graph of the basic exponential function
, where b>0, and b not 1) lie entirely above the x-axis?
is positive above the x-axis
suggest b = 2
Now, plug some variables:
x = -1 . y = 1/2
x = 0 . y = 1
x = 1 . y = 2
always remains positive and greater than zero
2. Explain the difference between natural logarithms and common logarithms.
Natural logs: base of
Common logs: base of

RELATED QUESTIONS

The graph of which of following does not lie entirely on or above the x-axis? A. x=y^2 (answered by edjones)
For what values of m would the graph of y=mx^2 + 4x + 6 lie entirely above the... (answered by josgarithmetic)
the parabola which is the graph of the function f: y= ax^2+bx+c, b>0,c<0 does not have... (answered by richard1234)
The graph of the basic exponential function (y = bx) has two distinctive... (answered by stanbon,Nate)
I have a graph that has an x-axis of (0.67, 0), an x-axis of (-1, 0) and a y-axis of (0,... (answered by stanbon)
WHEN y=ax^2+bx+c>0, can u tell me why the graph must be above the... (answered by Edwin McCravy,Theo)
Where does the graph of y = 2x^2 − x − 3 cross the x-axis? A. (−, 0) (answered by jim_thompson5910)
The graph of y = 1/2x^2 - bx +2 is tangent to the x -axis. Find the value of... (answered by Alan3354)
Graph the quadratic function f(x) = -x2 + 1 Describe the correct graph and why...Which (answered by Theo)