Algebra I - U4L12 - Piecewise functions

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, determine which interval the input value falls into and then use the corresponding expression to find the output.

Front

What does the notation C(d) represent in the context of piecewise functions?

Back

C(d) represents the cost of renting a service (like a Karaoke machine) based on the number of days (d) rented.

Front

If C(4.5) = $150, what does this imply about the cost structure?

Back

It implies that the cost for renting the Karaoke machine for 4.5 days falls within a specific pricing tier defined in the piecewise function.

Front

How much does it cost to rent a snowblower for 50 minutes?

Back

$5.

Front

What is the cost to rent a snowblower for 90 minutes?

Back

$7.50.

Front

If Mr. McKay rented a snowblower for $12.50, could he have rented it for 150 minutes?

Back

YES, it indicates that the cost structure allows for that duration within the defined pricing.

Front

What is the cost if 5 people attended a party according to the piecewise function?

Back

$300.

Front

What is the significance of intervals in piecewise functions?

Back

Intervals define the ranges of input values for which specific rules or formulas apply in the function.

Front

How can piecewise functions be represented graphically?

Back

Piecewise functions can be represented as a graph with different line segments or curves for each interval.