Piecewise Practice

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 determine the domain of a piecewise function?

Back

The domain of a piecewise function is the union of the domains of each piece, considering the intervals where each piece 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.

Front

How do you find the range of a piecewise function?

Back

To find the range of a piecewise function, evaluate each piece over its interval and determine the minimum and maximum output values.

Front

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

Back

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

Front

How do you evaluate a piecewise function at a specific point?

Back

To evaluate a piecewise function at a specific point, identify which interval the input falls into and use the corresponding expression to find the output.

Front

What is the significance of the notation f(x)?

Back

f(x) denotes a function named 'f' evaluated at the input 'x', representing the output value.

Front

How do you calculate the value of an expression involving function evaluations, such as 4f(-1) - f(6) - 2f(-6)?

Back

To calculate the value, evaluate each function at the specified inputs, multiply as indicated, and then perform the arithmetic operations.

Front

What is the formula for calculating earnings based on a piecewise rate?

Back

The earnings can be calculated by applying the piecewise rates to the number of hours worked in each interval and summing the results.

Front

How do you determine the total earnings for a given number of hours worked using a piecewise function?

Back

To determine total earnings, calculate the earnings for each segment of hours worked according to the piecewise rates and sum them.