5

Question 1

exponential func def

Answer 1

has the form Ab^x, where A and b are real numbers
A cannot = 0
b >1

Question 2

-f(x)

Answer 2

reflection about the x axis

Question 3

f(-x)

Answer 3

reflection about the y axis

Question 4

type 1: solving for missing exponent

Answer 4

equation can be re-written using the same bases
ex: 25^x = 125
(5^2)^x = 5^3
2x = 3
x = 3/2

Question 5

exponent same base theorem

Answer 5

if b^x = b^y then x=y

Question 6

property of exponents: m<n

Answer 6

iff b^m < b^n (b>1)

Question 7

property of exponents: m<n (2)

Answer 7

iff b^m > b^n (0<b<1)

Question 8

compound interest formula

Answer 8

A(t) = P(1+r/m)^mt
p - principal value
r - interest rate
m - times compounded
t - years

Question 9

continuous compounding formula

Answer 9

A = Pe^rt
P amount invested that pays annual interest compounded continuously for t years

Question 10

logarithm def

Answer 10

for all positive numbers a, that dont = 1
loga^x = the exponent to which the base, a, must be raised to to obtain x
logb^x=y is equal to x = b^y
*an exponent

Question 11

common logarithm

Answer 11

log(x) = log10^x

Question 12

natural log

Answer 12

ln(x) = loge^x

Question 13

log property: product rule

Answer 13

loga^xy = loga^x + loga^y

Question 14

log property: quotient rule

Answer 14

loga^x/y = loga^x - loga^y

Question 15

log property: power rule

Answer 15

loga^x^p = ploga^x