Exploring Functions and Relations in Guided Notes

What is a relation in mathematics?

• A type of graph

• A mathematical operation

• A set of ordered pairs

• A single number

Which part of an ordered pair is the domain?

• Both numbers

• The first number

• The second number

• None of the above

What is another name for the independent variable?

• Range

• Dependent variable

• Input

• Output

In a function, how many y-values can each x-value have?

• Any number

• Three

• One

• Two

What is the domain of the relation {(-2, -7), (0, -1), (4, 0), (-2, 3)}?

• {-2, 0, 4}

• {-7, -1, 0, 3}

• {-2, -2, 0, 4}

• {-7, -1, 0, 3, 4}

Which test is used to determine if a relation is a function?

• Slope test

• Horizontal line test

• Vertical line test

• Point test

What does the vertical line test check for?

• If any vertical line intersects the graph at more than one point

• If any horizontal line intersects the graph at more than one point

• If the graph has any curves

• If the graph is a straight line

In a mapping diagram, what indicates a function?

• Each x-value has multiple arrows

• Each x-value has one arrow

• Each y-value has multiple arrows

• Each y-value has one arrow

What is a one-to-one function?

• A function where each x-value corresponds to multiple y-values

• A function where each y-value corresponds to multiple x-values

• A function where each x-value corresponds to exactly one y-value and vice versa

• A function where each y-value corresponds to exactly one x-value

Which test must a function pass to be considered one-to-one?

• Slope test

• Vertical line test

• Horizontal line test

• Both vertical and horizontal line tests