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 calculate tax using a piecewise function?

Back

To calculate tax using a piecewise function, identify the income range and apply the corresponding tax rate for that range.

Front

What is the tax rate for income up to $20,000 in Freedonia?

Back

5%.

Front

What is the tax rate for income between $20,001 and $80,000 in Freedonia?

Back

15%.

Front

What is the tax rate for income between $80,001 and $200,000 in Freedonia?

Back

30%.

Front

What is the tax rate for income over $200,000 in Freedonia?

Back

45%.

Front

Calculate the tax owed on an income of $100,000 in Freedonia.

Back

$16,000.

Front

What does f(-2) represent in a piecewise function?

Back

f(-2) is the output of the function when the input is -2.

Front

If f(x) = { x if x < 4; -x+1 if x ≥ 4, what is f(3)?

Back

f(3) = 3.

Front

If f(x) = { -x+1 if x < 4; x if x ≥ 4, what is f(4)?

Back

f(4) = 4.