Unit D Functions and Lines Test Review

Front

What is a constant function?

Back

A constant function is a function that does not change its value, regardless of the input. It can be represented as f(x) = c, where c is a constant.

Front

What does the equation y = mx + b represent?

Back

This is the slope-intercept form of a linear equation, where m is the slope of the line and b is the y-intercept.

Front

How do you find the slope of a line given two points (x1, y1) and (x2, y2)?

Back

The slope (m) is calculated as m = (y2 - y1) / (x2 - x1).

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions for different intervals of the input.

Front

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

Back

The y-intercept is the point where the line crosses the y-axis, which is (0, 3) in this case.

Front

What does it mean for a function to be linear?

Back

A linear function is a function that graphs to a straight line and can be expressed in the form y = mx + b.

Front

What is causation?

Back

Causation refers to a relationship where one event (the cause) directly affects another event (the effect).

Front

What is correlation?

Back

Correlation is a statistical measure that describes the extent to which two variables change together, but it does not imply causation.

Front

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function, determine which interval the input falls into and use the corresponding expression.

Front

What is the formula for calculating total earnings based on hourly rates?

Back

Total earnings = (Hourly rate for first hours * Number of first hours) + (Hourly rate for additional hours * Number of additional hours).