Exploring Functions and Relations in Algebra 1

What is a relation in mathematics?

• A single number

• A mathematical operation

• A set of ordered pairs or points

• A type of graph

Which of the following is true for a function?

• Each output can have multiple inputs

• Each input can have multiple outputs

• Inputs and outputs are not related

• Each input has exactly one output

In an ordered pair (x, y), what does 'x' represent?

• The output value

• The difference between x and y

• The input value

• The sum of x and y

How can you determine if a table of values represents a function?

• Check if all values are negative

• Check if all values are positive

• Check if any output values repeat with different input values

• Check if any input values repeat with different output values

In the table, if the input value 3 has an output value of 6, what does this indicate?

• The input value 3 has a single output

• The output value 6 repeats

• The input value 3 repeats

• The relation is not a function

What is the vertical line test used for?

• To find the slope of a line

• To determine if a relation is a function

• To identify the x-intercept of a graph

• To calculate the area under a curve

If a vertical line intersects a graph at more than one point, what does this indicate?

• The graph is a straight line

• The relation is not a function

• The relation is a function

• The graph is a parabola

In the vertical line test, what does each vertical line represent?

• An output value

• An input value

• A slope

• A coordinate

If an input value has multiple output values, what can be concluded?

• The relation is a function

• The output values are incorrect

• The relation is not a function

• The input value is incorrect

What does an open circle on a graph indicate in the context of functions?

• It is a point

• It is not a point

• It is the origin

• It is the maximum value