MIX 1

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 based on its domain (input values).

Front

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

Back

To determine the range from a graph, identify the lowest and highest points on the y-axis that the graph reaches. The range is then expressed in interval notation.

Front

What is the formula for calculating the slope of a line?

Back

The slope (m) of a line passing through two points (x1, y1) and (x2, y2) is calculated using the formula: m = (y2 - y1) / (x2 - x1).

Front

What does a negative slope indicate about a line?

Back

A negative slope indicates that as the x-values increase, the y-values decrease, meaning the line is slanting downwards from left to right.

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 y-intercept represent in a linear equation?

Back

The y-intercept is the point where the line crosses the y-axis, representing the value of y when x = 0.

Front

How can you represent a situation with a linear equation?

Back

To represent a situation with a linear equation, identify the variables involved, determine the relationship between them, and express it in the form y = mx + b.

Front

What is the significance of the rate of change in a linear function?

Back

The rate of change in a linear function represents how much the output (y) changes for a unit change in the input (x). It is equivalent to the slope of the line.

Front

What is the relationship between the slope and the rate of change?

Back

The slope of a line is a measure of the rate of change of the dependent variable (y) with respect to the independent variable (x).

Front

How do you find the rate of change from a table of values?

Back

To find the rate of change from a table, calculate the difference in y-values divided by the difference in x-values for two points.