Benchmark 2 Review 2

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, typically represented as 'm' in the slope-intercept form of a linear equation, which is calculated as the change in y over the change in x (rise/run).

Front

How do you determine the domain of a function?

Back

The domain of a function is the set of all possible input values (x-values) for which the function is defined. To find the domain, identify any restrictions such as division by zero or square roots of negative numbers.

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.

Front

Back

y = 16.

Front

What does it mean for a function to be one-to-one?

Back

A function is one-to-one if it assigns a unique output for every unique input, meaning no two different inputs produce the same output.

Front

What is the difference between domain and range?

Back

The domain refers to the set of all possible input values (x-values) for a function, while the range refers to the set of all possible output values (y-values) that the function can produce.

Front

How do you find the slope from two points?

Back

The slope (m) can be calculated using the formula: m = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are the coordinates of the two points.

Front

What is a linear function?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b, where m is the slope and b is the y-intercept.

Front

What is the y-intercept of a line?

Back

The y-intercept is the point where the line crosses the y-axis, represented as (0, b) in the equation y = mx + b.

Front

What is the significance of the x-intercept?

Back

The x-intercept is the point where the line crosses the x-axis, represented as (a, 0) in the equation of the line.