Chapter 4 - Exponential and Logarithmic Functions Flashcards
1
Q
Exponential parent function
A
f(x)=b^x
2
Q
What makes a growth function (f(x)=b^x)
A
if b > 1
3
Q
What makes a decay function (f(x)=b^x)
A
if 0 < b < 1
4
Q
Compound interest formula
A
A(t)=P(1+(r/n))^nt
5
Q
e =
A
(1 + 1/n ) ^n
6
Q
Exponential Parent Function
A
f(x) = e^x
7
Q
Continuously Compounding Interest
A
A(t) = Pe^rt
8
Q
logbx=y if
A
by=x
9
Q
Common Logarithm
A
log x (base 10)
10
Q
Natural Logarithm
A
ln x (base e)
11
Q
Inverse of f(x)=bx
A
y=logbx
12
Q
logbm + logbn =
A
logbmn
13
Q
logbm - logbn =
A
logb(m/n)
14
Q
logbm x n =
A
logbmn
15
Q
logca =
A
logba/logbc