Domain and Range Review

CA-YL Unit 3 Quiz Review: Functions, Domain, and Range

By Maggie Seawright

At least one input (x) is paired with more than one output (y).

​

At least one x REPEATS​

RElation

Each input (x) is paired with only one output (y).

​

x DOES NOT repeat

Functions

Function vs Relation

Some text here about the topic of discussion

NONE of the x-values repeat!

Ordered Pairs: Function

The x-value of 8 repeats with DIFFERENT y-values!

Ordered pairs: Relation

NONE of the x-values repeat!

Table: Function

The x-value of 4 repeats with DIFFERENT y-values!

Table: Relation

NONE of the x-values repeat!

*no x-values have more than one arrow coming out of them!​

Mapping: Function

The x-value of 2 repeats!

*It has more than one arrow coming out of it!​

Mapping: Relation

NONE of the x-values repeat!

*it passes the vertical line test!

*No point stacked on top of each other​

Graph: Function

several x-values repeat!

*It does not pass the vertical line test!​

*points on top of each other​

Graph: Relation

Multiple Choice

Does the graph show a function?

• Yes

• No

Multiple Choice

Which mapping diagram is not a function?

Multiple Choice

Does this table represent a function?

• Yes!
• No!
• I Don't Know

​domain

All the x-values for a relation.

​

Discrete points: List the x-values out in order; use { and }

​

Continuous graph: ​Look from LEFT to RIGHT; use [ and ] if it TOUCHES the value; use ( and ) if it doesn't touch the value. Remember that an arrow to the left is -∞ and an arrow to the right is ∞

Subject | Subject

Some text here about the topic of discussion

​Range

All the y-values for a relation.

​

Discrete points: List the y-values out in order; use { and }

​

Continuous graph: ​Look from BOTTOM to TOP; use [ and ] if it TOUCHES the value; use ( and ) if it doesn't touch the value. Remember that an arrow pointing down is -∞ and an arrow pointing up is ∞

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

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

Multiple Choice

What is the range?

• {-3, -1, 2, 4}
• {0, 4, 7} 
• {0, 4, 4, 7}
• {7, 4, 0}

Multiple Choice

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}

Multiple Choice

What is the DOMAIN?

• [0, ∞)
• (-∞, 0)
• All real numbers
• {0, 1, 2, 3, 4,...}

Multiple Choice

What is the range of the function?

• [-1, +∞)
• (-1,1)
• [1.5, +∞)
• (-2, 2)

function notation

f(x) means the same thing as y in an equation

​

If the ​# is IN the parentheses, then substitute that value in the place of x in the equation. Use your calculator to get your answer.

​

If it says ____ = #, then SET the equation equal to that number and SOLVE to find the value for x.​

Subject | Subject

Some text here about the topic of discussion

Multiple Choice

Given h(x) = 5 - 9x, find h(8). 

• h(8) = -360
• h(8) = -67

Multiple Choice

Evaluate f(-2) if f(x) = x²+ 3

• -1
• 1
• 7
• -7

Multiple Choice

Let w(x) = 3x - 7. If w(x) = 14, find x.

• 7
• 35
• 2.33333
• -49

Multiple Choice

If f(x) = x - 5, what is the value of x when f(x) = 15?

• 20
• 10
• 5
• 0