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.

Tags

CCSS.HSF-IF.C.7B

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.

Tags

CCSS.HSF.IF.A.2

Front

What does 'undefined' mean in the context of functions?

Back

'Undefined' means that the function does not have a valid output for a given input, often due to division by zero or taking the square root of a negative number.

Front

If f(x) = 2x + 1, what is f(1)?

Back

f(1) = 3.

Tags

CCSS.HSF.IF.A.2

Front

What is the cost structure of the painter's charges?

Back

The painter charges $12 per hour for the first 40 hours, $18 for the next 10 hours, and $24 for any hours beyond that.

Front

How do you calculate total earnings for a piecewise payment structure?

Back

Calculate the earnings for each segment of hours worked according to the rates, then sum them up.

Front

Evaluate f(x) = { 2x + 1, x < 0; 3x - 2, x >= 0 } at x = -1.

Back

f(-1) = 2(-1) + 1 = -1.

Tags

CCSS.HSF.IF.A.2

Front

Evaluate f(x) = { x^2, x < 2; 3x + 1, x >= 2 } at x = 3.

Back

f(3) = 3(3) + 1 = 10.

Front

What is the output of f(x) = { 1/x, x != 0; 0, x = 0 } at x = 0?

Back

f(0) = 0.

Tags

CCSS.HSF.IF.A.2

Front

What is the domain of a piecewise function?

Back

The domain of a piecewise function is the set of all possible input values for which the function is defined.