Math 4 Unit 2 Piecewise Review

Front

What is a piecewise function?

Back

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

Front

How do you evaluate a piecewise function?

Back

To evaluate a piecewise function, identify the interval in which the input value falls and use the corresponding expression to find the output.

Front

What does the notation f(x) = 4 mean in the context of piecewise functions?

Back

It means that the output of the function f(x) is equal to 4 for the specified input x.

Front

If f(2) = 1, what does this indicate about the function at x = 2?

Back

It indicates that when the input x is 2, the output of the function f is 1.

Front

What is the significance of the graph of a piecewise function?

Back

The graph visually represents the different expressions of the function over their respective intervals, showing how the function behaves.

Front

How can you determine the value of f(8) from a piecewise function?

Back

To determine f(8), find the interval that includes x = 8 and use the corresponding expression to calculate the output.

Front

What does it mean if a piecewise function has a value of 'Not possible'?

Back

It means that the function is not defined for that particular input value.

Front

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

Back

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

Front

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

Back

Substitute the specific point into the function and use the appropriate piece of the function based on the defined intervals.

Front

What is the role of intervals in piecewise functions?

Back

Intervals define the ranges of input values for which specific expressions of the function apply.