Functions and Relations

Question 1

a pair of an element such as x and y taken in the order x first and y second is an ordered pair

Answer 1

Relation

Question 2

the set of all first coordinate

Answer 2

domain

Question 3

set of all y-coordinates

Answer 3

range

Question 4

set of all values for which the function is defined

Answer 4

domain of function

Question 5

set of all values that f takes

Answer 5

range of function

Question 6

• relation which associates for each element of its domain and a unique element in its range
• no two ordered pairs having the same first element

Answer 6

Function

Question 7

test to know if it is a function or not

Answer 7

vertical line test

Question 8

function that changes at a constant rate with respect to its independent variable

Answer 8

Linear function

Question 9

What is the graph of a linear function

Answer 9

straight line

Question 10

Equation of a linear function

Answer 10

Ax + By + C = 0 (where A is a positive integer and B and C any integer)

Question 11

line rises from left to right

Answer 11

positive slope

Question 12

line falls from left to right

Answer 12

negative slope

Question 13

horizontal line

Answer 13

zero slope

Question 14

vertical line

Answer 14

undefined slope

Question 15

Parallel Lines

Answer 15

if and only if they have the same slope

Question 16

Slope of Parallel Lines

Answer 16

m1 = m2

Question 17

Perpendicular Lines

Answer 17

if and only if their slopes are negative reciprocals of each other

Question 18

Slope of Perpendicular Lines

Answer 18

m1 = -1/m2 or
m1m2 = -1