Linear Functions Review

• Yes

• No

Answer explanation

Which statements are true for ALL linear functions.

• All linear functions must be functions.

• All linear functions will graph straight lines.

• All linear functions have no repeating y-values.

• All linear functions must have a consistent patterns in the domain and a consistent pattern within the range.

Answer explanation

All linear functions must first be functions. That means...they can't have any repeated x-values. All linear functions will have graphs that form straight lines, because of the constant pattern found between all the x-values & the constant pattern found between all y-values.

• Yes

• No

Answer explanation

• { (1, 4), (4, 8), (9, 12) }

• { (-3, -1), (-1, 1), (0, 8) }

• { (1, 1), (3, 17), (5, 33) }

• { (-4, 1) , (-3, 4), (-2, 9) }

Answer explanation

• 
• 

Answer explanation

Is this function linear or nonlinear?

• Linear

• Nonlinear

Identify the table that represents a linear function.

• Table 1

• Table 2

• Table 3

• Table 4

• Yes
• No

• Yes
• No

The function c(x)=14x+13​ represents the cost (in dollars) of renting a surfboard, where x​ is the number of hours you rent the surfboard.

Identify the domain and range

Groups:

(a) Domain

,

(b) Range

,

(c) Not needed

• y=13,27,41,55.....

• y>0

• y>13

• Hours

• Cost

• x=0,1,2,3,4.....

• x>0

• y=0,1,2,3,4......