Domain & Range and Key Features of Linear Functions

Front

What is the definition of 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

What is the definition of 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 domain of a linear function from its graph?

Back

The domain can be determined by identifying the x-values that the graph covers.

Front

How do you determine the range of a linear function from its graph?

Back

The range can be determined by identifying the y-values that the graph covers.

Front

What does a positive slope indicate about a linear function?

Back

A positive slope indicates that as the x-values increase, the y-values also increase.

Front

What does a negative slope indicate about a linear function?

Back

A negative slope indicates that as the x-values increase, the y-values decrease.

Front

What is a y-intercept in a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis, representing the output value when the input value (x) is zero.

Front

What is a zero of a function?

Back

A zero of a function is a value of x for which the function's output (y) is zero.

Front

How can you express the domain of a linear function using inequalities?

Back

The domain can be expressed using inequalities that represent the range of x-values for which the function is defined.

Front

How can you express the range of a linear function using inequalities?

Back

The range can be expressed using inequalities that represent the range of y-values that the function can take.