Math Exam 2

Front 1

distance formula

Back 1

Front 2

midpoint formula

Back 2

Front 3

slope formula

Back 3

Front 4

horizontal line's slope equals

Back 4

zero

Front 5

vertical line's slope is

Back 5

undefined

Front 6

parallel lines' slopes are

Back 6

equal

Front 7

perpendicular lines' are

Back 7

opposite reciprocals

Front 8

standard form

Back 8

Ax + By = C

Front 9

point-slope form

Back 9

Front 10

slope-intercept form

Back 10

y = mx + b

Front 11

how do you find x-intercepts?

Back 11

set y = 0 and solve for x

Front 12

how do you find the y-intercept?

Back 12

set x= 0 and solve for y

Front 13

how do you find x-axis symmetry?

Back 13

change your y to a negative, if it's the same as the beginning equation, you have x-axis symmetry.

Front 14

how do you find y-axis symmetry?

Back 14

change your x to a negative, if it's the same as the beginning equation, you have y-axis symmetry.

Front 15

how do you find origin symmetry?

Back 15

change your x and your y to a negative, if it's the same as the beginning equation, you have origin symmetry.

Front 16

standard equation of a circle

Back 16

Front 17

general form of a circle

Back 17

Front 18

find domain

Back 18

if you have a denominator, take the number that x cannot be equal to. linear equations have no restrictions (negative infinity, infinity)

Front 19

difference quotient

Back 19

Front 20

vertical line test

Back 20

if every vertical line that intersects a graph does so exactly once, then the graph represents a function

Front 21

vertical asymptote

Back 21

simplify the rational expression, if possible, and then set the denominator equal to zero and solve

Front 22

horizontal asymptotes

Back 22

•If the degree of the numerator is less than the degree of the denominator then y equals 0 is the asymptote.
• if the degree of the numerator is equal to the degree of the denominator then the horizontal asymptote is equal to the leading coefficient of the numerator divided by the leading coefficient of the denominator.
• if the degree of the numerator is greater than the degree of the denominator then there is no horizontal asymptote. (DNE = does not exist)

Front 23

(f+g)(x) =

Back 23

f(x)+g(x)

Front 24

(f-g)(x) =

Back 24

f(x)-g(x)

Front 25

(f•g)(x) =

Back 25

f(x)g(x)

Front 26

(f/g)(x) =

Back 26

f(x)/g(x)

Front 27

(f ° g)(x) =

Back 27

f(g(x))

Front 28

(g ° f)(x)

Back 28

g(f(x))

Front 29

horizontal line test

Back 29

If every horizontal line intersects the graph of a function does so exactly once the function passes the horizontal line test and is a one to one function.

Front 30

find the inverse of a one to one function

Back 30

1) replace f(x) with y
2) interchange the variables
3) solve the resulting equation for y, if possible
4) replace y with f^-1(x)

Front 31

quadratic function

Back 31

function

Front 32

vertex formula

Back 32

formula

Front 33

compound interest formula

Back 33

Front 34

Continuously compounded interest formula

Back 34

Front 35

Population growth formula (Malthusian model)

Back 35

Front 36

Permutation and combination formulas

Back 36

Front 37

Discriminant

Back 37

Front 38

What does it mean when your discriminant equals 0?

Back 38

One repeated rational root

Front 39

What does it mean when your discriminant is positive and a perfect square?

Back 39

Two different rational roots

Front 40

What does it mean when your discriminant is positive and not a perfect square?

Back 40

Two different irrational roots

Front 41

What does it mean when your discriminant is negative?

Back 41

No real roots

Front 42

What is a complex number?

Back 42

A complex number is a number that can be written in the form a + bi where A is the real part, and B is the imaginary part.

Front 43

powers of i

Back 43

Front 44

How can you simplify powers of i?

Back 44