Chapter 7: Fucntions Flashcard Review

Front

What is a function?

Back

A function is a relation that assigns exactly one output (y) for each input (x).

Front

What is the formula for a linear function?

Back

The formula for a linear function is typically written as y = mx + b, where m is the slope 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 does the y-intercept represent in a linear function?

Back

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

Front

What is the domain of a function?

Back

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

Front

What is the range of a function?

Back

The range of a function is the set of all possible output values (y) that the function can produce.

Front

How do you determine if an ordered pair is a solution to a function?

Back

Substitute the x-value of the ordered pair into the function's equation. If the resulting y-value matches the y-value of the ordered pair, it is a solution.

Front

What are the coordinates of the origin?

Back

The coordinates of the origin are (0, 0).

Front

What is the fourth quadrant in a coordinate plane?

Back

The fourth quadrant is where the x-coordinates are positive and the y-coordinates are negative.

Front

What does it mean for a function to be linear?

Back

A function is linear if its graph forms a straight line, indicating a constant rate of change.