Domain and Range

Front

What is the definition of 'Domain' in mathematics?

Back

The set of all possible input values (x-values) for a function.

Front

What is the definition of 'Range' in mathematics?

Back

The set of all possible output values (y-values) for a function.

Front

What does it mean for a relation to be a 'Function'?

Back

A relation where each input value is associated with exactly one output value.

Front

How can you determine the domain of a function from its graph?

Back

The domain is the set of all x-values for which the graph has points.

Front

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

Back

The range is the set of all y-values that the graph reaches.

Front

What is the slope of the line represented by the equation y = mx + b?

Back

The slope (m) indicates the steepness and direction of the line.

Front

What is the slope of the line in the equation y = -3x + 2?

Back

Negative, because the coefficient of x is -3.

Front

What is the slope of the line in the equation y = 2x + 5?

Back

Positive, because the coefficient of x is 2.

Front

What is the range of the set of values {1, 2, 3, 4, 5}?

Back

The range is {1, 2, 3, 4, 5}.

Front

Given the mapping {(1, 2), (2, 3), (3, 4)}, is this a function?

Back

Yes, because each input has a unique output.