Concept 4.1 Flashcard

Front

What is the slope of a line?

Back

The slope of a line measures its steepness and direction, calculated as the ratio of the vertical change to the horizontal change between two points on the line.

Front

What does the term 'domain' refer to in 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 a function?

Back

A function is a relation that assigns exactly one output value for each input value.

Front

How can you determine if a table represents a function?

Back

A table represents a function if each input value (x-value) corresponds to exactly one output value (y-value). If any input value is repeated with different output values, it is not a function.

Front

What does a slope of 0 indicate about a line?

Back

A slope of 0 indicates that the line is horizontal, meaning there is no vertical change as the x-values change.

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

What is the difference between domain and range?

Back

The domain refers to the set of input values (x-values), while the range refers to the set of output values (y-values) of a function.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line, characterized by a constant rate of change (slope).

Front

How do you calculate the slope between two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What is the equation of a line in slope-intercept form?

Back

The equation of a line in slope-intercept form is given by y = mx + b, where m is the slope and b is the y-intercept.