Everything LINEARS

Front

What is a linear function?

Back

A linear function is a function that can be graphically represented as a straight line. It has the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What does the x-intercept of a linear function represent?

Back

The x-intercept is the point where the graph of the function crosses the x-axis. It occurs when y = 0.

Front

What does the y-intercept of a linear function represent?

Back

The y-intercept is the point where the graph of the function crosses the y-axis. It occurs when x = 0.

Front

What is the difference between domain and range?

Back

The domain is the set of all possible input values (x-values) for a function, while the range is the set of all possible output values (y-values).

Front

What does HOY stand for in relation to linear functions?

Back

HOY stands for 'Horizontal is y = k', indicating that a horizontal line has a constant y-value.

Front

What does VUX stand for in relation to linear functions?

Back

VUX stands for 'Vertical is x = k', indicating that a vertical line has a constant x-value.

Front

How do you identify the slope of a linear function from its equation?

Back

The slope (m) of a linear function in the form y = mx + b is the coefficient of x.

Front

What is the slope of the line represented by the equation y = 2x + 3?

Back

The slope of the line is 2.

Front

What is the equation of a line with a slope of -1 and a y-intercept of 4?

Back

The equation of the line is y = -1x + 4.

Front

How do you determine if a function is increasing or decreasing?

Back

A function is increasing if its slope is positive (m > 0) and decreasing if its slope is negative (m < 0).