sets

Question 1

domain

Answer 1

set of inputs

Question 2

range

Answer 2

set of outputs

Question 3

non-functions

Answer 3

one input has multiple outputs

Question 4

R

Answer 4

set of all real numbers

Question 5

N

Answer 5

set of all natural numbers (1, 2, 3, …, inf)

Question 6

Z

Answer 6

set of all integers (whole numbers)

Question 7

Q

Answer 7

set of all rational numbers (not imaginary, not able to be represented as a fraction,

Question 8

C

Answer 8

set of all complex numbers

Question 9

I

Answer 9

set of all imaginary numbers

Question 10

{x|x has some property}

Answer 10

the set of x, such that x has some property

Question 11

even functions

Answer 11

symmetrical about the y-axis (-x = y)

Question 12

odd functions

Answer 12

symmetrical about the origin (-x = -y)

Question 13

the sum and product of two rationals are…

Answer 13

rational

Question 14

addition rule of integers

Answer 14

(m/n)+(p/q) = ((mq+np)/nq))

Question 15

multiplication rule of integers

Answer 15

(m/n)*(p/q) = (mp/nq)

Question 16

between any two rations there is another rational

Answer 16

true
if r= (m/n), and s= (p/q) then
(1/2)(r+s)= ((mq+np)/2nq))

Question 17

existential quantifier

Answer 17

used for proofs of contradiction
“there exists”
∃

Question 18

universal quantifier

Answer 18

used for proofs that a certain property is true for all integers
“for all”
∀

Question 19

the formula for the root of a linear equation
ax+b=0

Answer 19

-b/a

Question 20

the formula for the root of a quadratic equation

Answer 20

(1/2a)(-b±sqrt((b^2)-4ac))

Question 21

how to find the coefficients of a cubic equation

Answer 21

-a= x1+x2+x3
b= x1x2+x2x3+x1x3
-c= x1x2x3