Q1: Lesson 1 | Functions and Relations

Question 1

is a set of ordered pairs.

Answer 1

relation

Question 2

is a collection of objects

Answer 2

set

Question 3

is the set of first coordinates.

Answer 3

domain of a relation

Question 4

range of a set of a relation

Answer 4

is the set of second coordinates

Question 5

is a relation in which each element of the domain corresponds to exactly one element of the range.

Answer 5

A function f(x) or y

Question 6

if f(x)=mx+b, when m and b are real numbers, and m and f(x) are not both equal to zero.

Answer 6

linear function

Question 7

is any equation in the form
f(x)= ax2+bc+c
Where a, b, and c are real numbers and a≠0.

Answer 7

quadratic function

Question 8

A linear function f is a ___________ if f(x)= mx+b, where m=0 and b is any real number.

Answer 8

constant function

Question 9

A linear function f is an ___________ if f(x)=mx+b, where m=1 and b=0. Thus, f(x)=x

Answer 9

identity function

Question 10

is function in which for each value of y in the range of f, there is just one value x in the domain of f such that y= f(x).

Answer 10

one-to-one function

Question 11

A function is __________ if no horizontal line intersects its graph more than once.

Answer 11

one-to-one

Question 12

Many functions may be represented by a combination of equations. Such functions are called

Answer 12

compound functions

Question 13

A ________ is a function defined by multiple subfunctions applies to a certain interval of the main function’s domain.

Answer 13

piecewise function or compound function

Question 14

The function f is an __________ if and only if f(-x)=f(x), for all x in the domain f.

Answer 14

even function

Question 15

The function f is an _________ if and only if f(-x)=-f(x), for all x in the domain of f.

Answer 15

odd function