e
2.178and on infinite number
e is what type of number
an irrational number
What is e used for?
exponential growth or decay
Leonard Euler
Swiss mathematician and physicist
natural base e
An irrational number approximately equal to 2.71828... .
the base e used in a function formula:
g(x)=a(e^x-h)+k
Reference points for e parent function
0,1 and 1,e
To find the x intercept
Substitute y for 0; and solve for x
To find y intercept
Set x as 0 and solve for y
parent function for e
f(x)=e^x
what is e used as in an exponential function?
The base
Horizontal Asymptote for f(x)=e^x
y=0
Modeling with base e function formula:
g(x)=a(e^c)^x
Find the rate through
1=+/- r=e^c, then solve for r
e^c
the decay factor or growth factor
reference points for base of e function
(h,a+k) and (1+h,ae+k)
c
constant
You can write g(x) as e(^c)^x
by using the power of a Property of Exponents
exponential e base asymptote
y=k