Comparing Functions

Front

What is the standard form of a linear function?

Back

Front

What does the variable 'm' represent in the equation of a linear function?

Back

The variable 'm' represents the rate of change or slope of the linear function.

Front

If a function has a greater slope, what does that indicate about its rate of change?

Back

A greater slope indicates a faster rate of change.

Front

What is the definition of a function?

Back

A function is a relation that assigns exactly one output for each input.

Front

How can you determine which function has the greatest rate of change?

Back

Compare the slopes of the functions; the function with the highest slope has the greatest rate of change.

Front

What is the y-intercept in a linear function?

Back

Front

What does it mean for two functions to be linear?

Back

Two functions are linear if they can be represented by straight lines on a graph.

Front

How do you find the slope between two points (x1, y1) and (x2, y2)?

Back

Front

What is a real-world example of a linear function?

Back

An example is the relationship between distance and time at a constant speed.

Front

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

Back

The slope indicates how much one quantity changes in relation to another, such as speed or cost per item.