3.3.3 Discrete and Continuous Functions

Front

What is a discrete function?

Back

A discrete function is a function that only takes on specific, separate values, often represented by whole numbers.

Front

What is a continuous function?

Back

A continuous function is a function that can take on any value within a given range, represented by a smooth line on a graph.

Front

How do you graph a continuous function?

Back

You connect the dots when graphing a continuous function.

Front

What does the variable 'x' typically represent in a function?

Back

The variable 'x' often represents the input value or independent variable in a function.

Front

What does the variable 'y' typically represent in a function?

Back

The variable 'y' often represents the output value or dependent variable in a function.

Front

In discrete functions, what can the x-values be?

Back

In discrete functions, the x-values can only be whole numbers.

Front

In continuous functions, what can the x-values be?

Back

In continuous functions, the x-values can be all numbers.

Front

What is the equation for distance traveled at a constant speed?

Back

The equation is y = speed * time + initial distance.

Front

If you are driving at 70 miles per hour and have already driven 35 miles, what does 'x' represent in the equation y=70x+35?

Back

In this equation, 'x' represents the number of hours driven.

Front

What is the difference between discrete and continuous data?

Back

Discrete data consists of distinct, separate values, while continuous data can take any value within a range.