Discrete Vs. Continuous Practice

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What is the definition of a discrete variable?

Back

A discrete variable is a type of quantitative variable that can take on a countable number of values. Examples include the number of students in a class or the number of orange Skittles in a bag.

Front

What is the definition of a continuous variable?

Back

A continuous variable is a type of quantitative variable that can take on an infinite number of values within a given range. Examples include height, weight, and temperature.

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What is the domain of a function?

Back

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

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What is the range of a function?

Back

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

Front

How do you determine if a function is discrete or continuous?

Back

A function is discrete if it can only take specific values (like whole numbers), while it is continuous if it can take any value within a range (including fractions and decimals).

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What is an example of a discrete function?

Back

An example of a discrete function is the number of students in a classroom, as it can only take whole number values.

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What is an example of a continuous function?

Back

An example of a continuous function is the weight of a bag of apples, as it can take any value within a range.

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What does it mean for a function to be linear?

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.

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What is the slope of a linear function?

Back

The slope of a linear function represents the rate of change of the function, indicating how much y changes for a unit change in x.

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What is the y-intercept of a linear function?

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The y-intercept of a linear function is the point where the graph intersects the y-axis, represented by the value of y when x = 0.