Unit 5 Lessons 1 - 4 Review

Front

What is the rate of change in a function?

Back

The rate of change in a function describes how much the output value changes for a given change in the input value, often represented as slope in linear functions.

Front

What is a function in mathematics?

Back

A function is a relation that assigns exactly one output value for each input value. It can be represented as a set of ordered pairs.

Front

What is the vertical line test?

Back

The vertical line test is a method to determine if a graph represents a function. If a vertical line intersects the graph at more than one point, it is not a function.

Front

How do you find the slope of a line?

Back

The slope of a line is found by taking the difference in the y-coordinates divided by the difference in the x-coordinates of two points on the line.

Front

What does it mean for a point to be a solution to a function?

Back

A point is a solution to a function if it satisfies the equation of the function, meaning it lies on the graph of the function.

Front

What is the formula for slope between two points (x1, y1) and (x2, y2)?

Back

The formula for slope (m) is m = (y2 - y1) / (x2 - x1).

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 does it mean for a set of values to be a function?

Back

A set of values is a function if no two ordered pairs have the same first element (input) with different second elements (outputs).

Front

What is the significance of the slope in a real-world context?

Back

The slope represents the rate of change, such as speed in a distance-time graph or cost per item in a cost graph.