Chapter 2: Functions, Equations, and Graphs

Question 1

What is a relation?

Answer 1

set of input and output values

Question 2

What are the four ways of showing relation?

Answer 2

ordered pair, mapping diagram, table of values, and a graph

Question 3

What is the domain?

Answer 3

set of inputs (x-coordinates)

Question 4

What is the range?

Answer 4

set of outputs (y-coordinates)

Question 5

What is a function?

Answer 5

a relation were each element of domain corresponds with one element of the range

Question 6

What tests if a relation is a function?

Answer 6

vertical-line test

Question 7

What is the vertical line test?

Answer 7

if a vertical line passes through more than one point on a graph then it is NOT a function

Question 8

What are the ways of writing a function rule in function notation?

Answer 8

1. y = 3x + 2
2. f(x) = 3x + 2
3. f(1) = 3(1) + 2

Question 9

What is the independent variable

Answer 9

input of the function (represented by x)

Question 10

What is the dependent variable?

Answer 10

output of the function (represented by f(x) or y)

Question 11

What is the formula for a direct variation function?

Answer 11

y = kx

Question 12

What is the constant of variation?

Answer 12

ratio of all output-input pairs (y/x)

Question 13

Does y vary directly with x in 7y = 14x + 7? If so what is the constant of variation

Answer 13

No; can’t write it in y = kx

Question 14

What is the slope of a vertical line?

Answer 14

undefined

Question 15

What is slope-intercept form

Answer 15

y = mx + b

Question 16

What is point-slope form?

Answer 16

y - y1 = m ( x - x1)

Question 17

What is standard form?

Answer 17

Ax + By = C (A can NOT be a fraction)

Question 18

How can you graph a line in standard form

Answer 18

plug in 0 for x to find the y-intercept and vice-versa

Question 19

What is the slope of parallel lines?

Answer 19

equal

Question 20

What is the slope of perpendicular lines?

Answer 20

opposite reciprocal (ex. -2 and 1/2)

Question 21

What is a scatterplot?

Answer 21

graph that relates two sets of data by plotting the data as ordered pairs

Question 22

What is a correlation?

Answer 22

strength of a relationship

Question 23

What is a trend line?

Answer 23

approximate line of the related data

Question 24

What is the line of best fit?

Answer 24

most accurate line of the related data

Question 25

What are the two types of translations?

Answer 25

vertical and horizontal

Question 26

How can you show a vertical translation algebraically?

Answer 26

f (x) + k

Question 27

How can you show a horizontal translation algebraically?

Answer 27

f (x - h)

Question 28

What does a vertical stretch do?

Answer 28

multiplies all the y-values of a function by a factor greater than one

Question 29

What does a vertical compression do?

Answer 29

multiplies all the y-values of a function by a fraction between 0 and 1

Question 30

What formula must a function have be to consider the transformation?

Answer 30

y = a (x - h) + k

Question 31

What is the shape of a absolute value function?

Answer 31

symmetrical v

Question 32

What is a linear inequality

Answer 32

inequality in two variable whose graph is regional

Question 33

How do you test the boundary of a linear inequality?

Answer 33

pick a point not on the boundary and if it true than that region if shaded (all possible solutions of inequality)