Functions

Question 1

Exponential Decay

Answer 1

y= a(1-r)^t

y=final
a=original
r=rate (as decimal)
t=time

Question 2

Compound Interest

Answer 2

A= P(1+r/n)^nt

A= balance after t years
P= principal
r= rate as decimal 
n= number of times interest is compounded per year
t= time in years

Question 3

Half-life

Answer 3

A= P(0.5)^t

A= final amt
P= original
t= # of half-lives in given time period

Question 4

Exponential growth

Answer 4

y= a(1 + r)^t

y=final
a=initial
r=rate (as decimal)
t=time

Question 5

Geometric Function

Answer 5

a sub nth term = a sub first term *r^n-1

Question 6

Complete the square

Answer 6

(b/2)^2

Question 7

Inconsistent System

Answer 7

No solutions

Parallel lines- same slope different y-int

Question 8

Complex solution

Answer 8

A negative inside the square root

Question 9

Arithmetic sequence

Answer 9

a(first term) + (n-1)d

n=number of term
d= common difference

Question 10

y=c*f(x)

Answer 10

Stretches or compresses vertically (y)
c>1 stretches
0

Question 11

y=f(Cx)

Answer 11

Stretches or compresses horizontally (x)

C>1 compresses
0

Question 12

Inverse of a function

Answer 12

Exchange x for y and solve new equation for y

Question 13

i^2=

Answer 13

-1

Question 14

of diagonals

Answer 14

[n(n-3)]/2

Question 15

One to one functions

Answer 15

Must pass vertical and horizontal line test

Question 16

of subsets

Answer 16

2^n-1

Question 17

Point slope form

Answer 17

y-y1=m(x-x1)