PWFdap

Front

What is a piecewise function?

Back

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

Front

How do you find the value of a function at a specific point, such as f(2)?

Back

To find f(2), substitute 2 into the function's expression and simplify.

Front

What does it mean if a function has infinite outputs?

Back

It means that for a given input, the function can produce multiple values, often indicating a lack of a well-defined function.

Front

If f(0) = 2, what does this indicate about the function at x=0?

Back

It indicates that when the input x is 0, the output of the function is 2.

Front

What is the significance of the number of functions in a piecewise function?

Back

The number of functions indicates how many different rules or expressions are used to define the function over its domain.

Front

What is the output of f(2) if f(2) = 1?

Back

The output of the function at x=2 is 1.

Front

How do you determine the output of a piecewise function?

Back

Identify the interval in which the input value falls and use the corresponding expression to calculate the output.

Front

What is the general form of a piecewise function?

Back

A piecewise function is typically written as: f(x) = { expression1 for x in interval1, expression2 for x in interval2, ... }.

Front

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.

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.