Function Characteristics

Categorize the following functions by their type.

Groups:

(a) Linear

,

(b) Quadratic

,

(c) Exponential

,

(d) Neither

• 
• 
• 
• 
• 
• 
• 
• 
• 

Tags

CCSS.HSF-IF.C.7D

How do you know whether a relation represents a function?

• no x-values repeat

• no y-values repeat

• only 1 x-value repeats

• only 1 y-value repeats

Tags

CCSS.8.F.A.1

ALL linear, quadratic, and exponential functions have the same DOMAIN.

What is that domain? Select all representations.

• all real numbers

Function or not? (a)  

Domain =​ (b)  

Range =​ (c)  

• Function

• Not a Function

• {-5, -2,  2}

• {-4, 1. 3}

• { 3, 1, -4, }

• { 2, -2, -5 }

• Undefined

Answer explanation

The relation is not a function because it assigns multiple outputs to at least one input. The domain is {-5, -2, 2} and the range is {-4, 1, 3}, confirming the correct choices.

Tags

CCSS.8.F.A.1

The picture ​ (a)   a function because every ​x ​ (b)   point to exactly one y.

• shows
• does not show
• does
• does not

Tags

CCSS.8.F.A.1

Match the following.

• It is a function

• C

• Would be a function if you removed (2,0)

• B

• Is not a function b/c the input of 3 has more than one output

• A

• Is not a function b/c the input -3 has more than one output

• D

• Is a function b/c it passes the vertical line test

• F

Tags

CCSS.8.F.A.1

The two ordered pairs that make this mapping NOT a function is ​ (a)   and ​ (b)   .

• (50, 10)
• (50, 20)
• (25, 20)
• (75, 30)
• (100, 30)

Tags

8.5.G

Determine if the following tables represent an exponential function, linear function, quadratic function, or neither.

• exponential function

• 
• neither

• 
• linear function

• 
• quadratic function

• 

• 0
• 5
• x
• 70
• 35
• y

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

The graph of H shows the height, in meters, of a rocket t seconds after it was launched.

Describe the domain of this function.

• The domain of the function is limited to the first 10 seconds after the rocket was launched.
• The domain of the function is all real numbers representing the possible height values of the rocket.
• The domain of the function is only positive integers representing the time values (t) after the rocket was launched.
• The domain of the function is all real numbers representing the possible time values (t) after the rocket was launched.