Algebra 1 - Domain and Range of Continuous Graphs

Front

What is the definition of a function?

Back

A function is a relation where each input (x-value) has exactly one output (y-value).

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) that the function can accept.

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y-values) that the function can produce.

Front

How do you find the domain of a continuous graph?

Back

To find the domain of a continuous graph, identify the x-values for which the graph exists without any breaks or restrictions.

Front

How do you find the range of a continuous graph?

Back

To find the range of a continuous graph, identify the y-values that the graph reaches as it moves along the x-axis.

Front

What does it mean if a graph has repeating x-values?

Back

If a graph has repeating x-values, it means that for at least one input, there are multiple outputs, indicating that the relation is not a function.

Front

What is an example of a function?

Back

An example of a function is y = 2x + 3, where each x-value corresponds to exactly one y-value.

Front

What is an example of a relation that is not a function?

Back

An example of a relation that is not a function is y^2 = x, where each positive x-value corresponds to two y-values (positive and negative).

Front

What notation is used to express the domain of a function?

Back

The domain can be expressed using interval notation, such as (a, b) or [a, b], where a and b are the limits of the domain.