Linear Functions and Direct Variation (proportional)

This graph is a

(a)   because it​ (b)   and is​ (c)  

• Linear Function

• Non-Linear Function
• Not a Function

• passes vertical line test
• not a staight line
• does not pass vertical line test
• a straight line

This graph is a​

(a)   because it​ (b)   and is ​ (c)   ​ ​

• Linear Function
• Non-Linear Function

• Not a Function

• passes the vertical line test
• does not pass vertical line test
• straight line
• not a straight line

This relation is a

(a)   because each ​ (b)   and it ​ (c)  

• Linear function
• Nonlinear function

• Not a function

• input(x) has ONE output (y)
• has a constant rate of change
• input (x) does NOT have ONE output (y)
• does NOT have a constant rate of change

Tags

CCSS.8.F.B.4

CCSS.HSF.LE.A.2

This relation is a

(a)   because each​ (b)   ​ and ​ ​​ (c)  

• Nonlinear function
• Linear function
• Not a function

• input (x) does NOT have ONE output (y)
• does NOT have a constant rate of change
• input (x) has ONE output (y)
• has constant rate of change

Tags

CCSS.HSF-LE.A.1B

Graphs that have direct variation (proportional relationship) meet these checks:

• straight line

• passes VLT

• hits (0,0)

• NOT a linear function

Tags

CCSS.8.EE.B.5

Tables that have direct variation (proportional relationship) meet these checks:

• each input has one output

• constant rate of change

• NOT a linear function

Select all equations that have direct variation (proportional relationship)

• y = 2x - 4

• -x + y = 0

Organize these options into the correct category

Groups:

(a) Not a function

,

(b) Nonlinear function

,

(c) linear function

,

(d) direct variation (proportional)

• 
• 
• 
• 
• 

Organize these options into the right categories

Groups:

(a) Not a function

,

(b) Nonlinear function

,

(c) linear function

,

(d) direct variation (proportional)

• xy = 20

• y = -5

• y = 2x

• x = 2

• x + y = 0

• y = x - 2

Tags

CCSS.8.F.A.3

Organize these options into the correct category

Groups:

(a) Not a function

,

(b) Nonlinear function

,

(c) linear function

,

(d) direct variation (proportional)

• 
• 
• 
• 
• 
• 
• 

Tags

CCSS.8.F.A.3