Characteristics of Graphs

Front

What is the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined.

Front

How do you determine the domain from a graph?

Back

The domain can be determined by identifying the x-values that the graph covers. It includes all x-values for which there are corresponding y-values.

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 determine the range from a graph?

Back

The range can be determined by identifying the y-values that the graph covers. It includes all y-values that correspond to the x-values in the domain.

Front

What is end behavior in the context of graphs?

Back

End behavior describes how the values of a function behave as the input values approach positive or negative infinity.

Front

What does it mean if a graph has a horizontal asymptote?

Back

A horizontal asymptote indicates that as x approaches infinity or negative infinity, the function approaches a specific y-value.

Front

What is the axis of symmetry in a graph?

Back

The axis of symmetry is a vertical line that divides the graph into two mirror-image halves.

Front

How do you find the axis of symmetry for a quadratic function?

Back

Front

What is a transformation in the context of functions?

Back

A transformation is a change made to the graph of a function, such as shifting, reflecting, stretching, or compressing.

Front

What does it mean to translate a graph?

Back

Translating a graph means shifting it horizontally and/or vertically without changing its shape.