1.1 H. Key Features of Linear Functions H.W.

Front

What is the x-intercept of a linear function?

Back

The x-intercept is the point where the graph of the function crosses the x-axis. It is found by setting y = 0 and solving for x.

Front

What is the y-intercept of a linear function?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It is found by setting x = 0 and solving for y.

Front

What type of function is represented by a straight line?

Back

Linear function.

Front

How do you identify the y-intercept from a linear equation in slope-intercept form (y = mx + b)?

Back

The y-intercept is the value of b in the equation.

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range is the set of all possible output values (y-values) for the function.

Front

What does the slope of a linear function represent?

Back

The slope represents the rate of change of the function; it indicates how much y changes for a unit change in x.

Front

How can you determine the slope from two points on a line?

Back

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

Front

What is the standard form of a linear equation?

Back

The standard form is Ax + By = C, where A, B, and C are integers and A is non-negative.

Front

What does it mean if a linear function has a slope of 0?

Back

A slope of 0 indicates that the function is a horizontal line, meaning there is no change in y as x changes.