IM Unit 5: Mid Unit Review

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 graph?

Back

The y-intercept is the point where the graph of a function crosses the y-axis. It represents the value of y when x is 0.

Front

How do you determine if a relationship is a linear function?

Back

A relationship is a linear function if it can be represented by a straight line on a graph, meaning it has a constant rate of change.

Front

What does the x-axis represent in a graph?

Back

The x-axis typically represents the independent variable, which can be time, distance, or any other variable depending on the context.

Front

What is the slope of a line?

Back

The slope of a line is a measure of its steepness, calculated as the change in y divided by the change in x (rise/run).

Front

What is the equation of a line with a slope of 2 and a y-intercept of 3?

Back

The equation of the line is y = 2x + 3.

Front

What does it mean for a function to be increasing?

Back

A function is increasing if, as the input (x) increases, the output (y) also increases.

Front

What does it mean for a function to be decreasing?

Back

A function is decreasing if, as the input (x) increases, the output (y) decreases.

Front

What is the function represented by the table: x | y 0 | 2 1 | 3 2 | 4?

Back

The function is y = x + 2.

Front

What is the difference between a linear function and a non-linear function?

Back

A linear function has a constant rate of change and graphs as a straight line, while a non-linear function does not have a constant rate of change and can graph as a curve.