Linear functions

Question 1

irrational numbers

Answer 1

numbers that cannot be written as a/b, where a and b are integers and b ≠ 0; any number that cannot be written as a decimal that ends or repeats

Question 2

natural numbers

Answer 2

the set of positive integers {1, 2, 3, …, n}

Question 3

rational numbers

Answer 3

a number that can be written as a/b , where a and b are integers and b ≠ 0; any number that can be written as a decimal that ends or repeats

Question 4

real number

Answer 4

the set of all rational and irrational numbers

Question 5

undefined slope

Answer 5

the slope of a vertical line

Question 6

curve

Answer 6

the graphical representation of the solution set for y = f(x); in the special case of a linear equation, it will be a line

Question 7

domain

Answer 7

the set of all inputs of a function; the set of x-values that are valid for the function

Question 8

function

Answer 8

a relation in which every element of the domain is paired with exactly one element of the range; that is, for every value of x, there is exactly one value of y.

Question 9

system

Answer 9

a set of more than one equation

Question 10

dependent variable

Answer 10

variable is the output variable of a function (not y, the word)

Question 11

independent variable

Answer 11

variable is the input variable of a function (not x, the word)

Question 12

y-intercept

Answer 12

the point at which a line or curve intersects the y-axis at (0, y)

Question 13

x-intercept

Answer 13

the point at which the line intersects the x-axis at (x, 0)

Question 14

linear function

Answer 14

a function that can be written in the form f(x)=mx + b, in which m is the slope, b is the y-intercept, and the graph is a straight line

Question 15

vertical shift

Answer 15

number of units the graph of the function is moved up or down; a translation

Question 16

translation

Answer 16

moving a graph either vertically, horizontally, or both, without changing its shape; a slide

Question 17

transformation

Answer 17

moving a graph, including reflections, rotations, and translations

Question 18

variable

Answer 18

a letter used to represent a value or unknown quantity that can change or vary in an expression or equation

Question 19

expression

Answer 19

a combination of variables, quantities, and mathematical operations; 4, 8x, and b + 102 are all examples.

Question 20

equation

Answer 20

a mathematical sentence that uses an equal sign (=) to show that two quantities are equal

Question 21

whole numbers

Answer 21

the set of natural numbers that also includes 0: {0, 1, 2, 3, …}

Question 22

integer

Answer 22

a number that is not a fraction or a decimal

Question 23

relative maximum

Answer 23

the greatest value of a function for a particular interval of the function

Question 24

relative minimum

Answer 24

the least value of a function for a particular interval of the function

Question 25

extrema

Answer 25

the minima and maxima of a function

Question 26

relation

Answer 26

a relationship between two sets of elements

Question 27

linear equation

Answer 27

an equation that can be written in the form ax + by = c, where a, b, and c are rational numbers; can also be written as y = mx + b.

Question 28

function notation

Answer 28

a way to name a function using f(x) instead of y

Question 29

range

Answer 29

the set of all outputs of a function; the set of y-values that are valid for the function

Question 30

ordered pair

Answer 30

a pair of values (x, y) where the order is significant