Quick Flashcard - Piecewise Defined Functions

Front

What is a piecewise defined function?

Back

A piecewise defined function is a function that is defined by different expressions or formulas for different parts of its domain.

Front

How do you determine the domain of a piecewise defined function?

Back

The domain of a piecewise defined function is the union of the domains of each piece, considering any restrictions from the individual pieces.

Front

What does the notation (-∞, +∞) represent?

Back

The notation (-∞, +∞) represents the set of all real numbers, indicating that the domain includes all possible values.

Front

How do you find the value of a piecewise function at a specific point?

Back

To find the value of a piecewise function at a specific point, identify which piece of the function applies to that point and evaluate the corresponding expression.

Front

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 can you determine the range of a piecewise defined function?

Back

To determine the range of a piecewise defined function, evaluate the output values of each piece and combine them, considering any restrictions.

Front

What does f(-3) represent in the context of a function?

Back

f(-3) represents the output value of the function when the input is -3.

Front

If f(6) = 3, what does this indicate about the function?

Back

This indicates that when the input to the function is 6, the output is 3.

Front

What is the significance of the value f(-4) = 2?

Back

This signifies that the function outputs a value of 2 when the input is -4.

Front

What is the difference between domain and range?

Back

The domain refers to the set of possible input values (x-values), while the range refers to the set of possible output values (y-values) of a function.