Algebra 1 relations, functions and constraints

Identify the domain of the following relation:

• -6, 14, 2, 28
• (-6,14), (0,32), (2,38), (4,44)
• -6, 0, 2, 4
• 14, 32, 38, 44

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the domain?

• x = 2

• −∞ < x < ∞

• y = 2

• none of these

Answer explanation

Domain is always the x values. This line extends for all x values. But only one y value.

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.B.5

• Function

• Not a Function

Answer explanation

The some of the x values have more then one y value.

Tags

CCSS.8.F.A.1

All of the y values or outputs are called what?

• Domain
• Range
• Relation
• Function

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

The graph of a relation is shown at the right. Is this relation a function?

• Yes

• No

• Cannot be determined from a graph

Answer explanation

Every x is paired with a unit y. Some x values have more than one y.

What is the definition of function?

• Has inputs and outputs

• Every input has only ONE output

• Inputs have different outputs every time

• x-values and y-values

Answer explanation

Every x value has a single y value.

Tags

CCSS.8.F.A.1

List the ordered pairs

• Input and Output

• (0,12), (2,10), (4,8), (6,6)

• (12,0), (10,2), (8,4), (6,6)

• (6,6)

Answer explanation

The X is the input and the Y is the output. So 0 goes in and out comes a 12. This makes the order pair (0,12)

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

Determine if the relation is a function

• Not a function, each input has more than one output

• Yes it is a function, because each input has exactly on output

• Not a function, input is equal to output

• Yes it is a function, -1/2 is a fraction of 2

Tags

CCSS.8.F.A.1

A set of ordered pairs is called what?

• Coordinates
• Relation
• Function
• Vertical Line Test

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

• D: {1, -3, -4,}
  R: {0, 1, 2, -4}
• D:{0, 1, 2, -4}
  R:{1, -3, -4}
• D:{0, 1, 2, 3, 4}
  R:{1, -3, -4}
• D:{0, 1, 2, 3}
  R:{0, 1, 2, 3, 4}

Tags

CCSS.HSF.IF.A.1

CCSS.HSF.IF.B.5