Identifying Variables
Is it a Function?
f(x)
Linear Understanding
Linear or non-linear
100

What is the domain in this ordered pair?

(-2,4)

-2

100

In order for a table, graph, or map to be a function _______________________________.

x- cannot repeat 

100

z(x) = 2x – 1 for z(1)

z(1)= 1

100

A graph is linear when _________

the graph is a straight line

100

y=x2+2

non linear

200

What is the dependent variable in this graph?

speed

200

(5,2),(3,0),(2,2),(5,5)

nope x repeats (5,2) & (5,5)

200

 t(x) = 4x – 2 for t(5)

t(x) = 18

200

A linear function contains _________ and ___________

one dependent variable & one independent variable 

200

y=2x-4

linear

300
what is the range in this ordered pair:


(15,27)

27

300


Yes it is a function because x does not repeat 
300

 s(x) = 13x for s(6)

s(6) = 78

300
In a table, how do you determine whether the values represent a linear function?

ratio of change in y and in x is the same

300

(1,4), (2,12), (3,36), (4,108)

linear change is 1/3
400

What is the independent variable?


hours worked

400


It is a function because x does not repeat (vertical line test)

400

 f(x) = x +22- 4 for f(7)

f(7) = 25

400

To determine if an equation represents a linear function x __________

cannot have an exponent other than 1

400

(2,3),(4,5),(6,7),(8,9)

linear rate of change is 2/2

500

List the independent and dependent variables:


independent variable: BMI

dependent variable: Density 

500

 {(2, 5) (–3, –2), (4, 5), (6, 0), (–3, –2)}

No it is not a function because x repeats 

500

 h(x) = (23)x – 5 for h(2)

h(2)= 11

500

A non- linear function's graph ______________________

is not a straight line

500

(9,3),(14,8),(18,4),(21,9)

non linear