12.11.24 PAP A2 Review Unit 1 Learning Checkpoint 2

Front

What is an absolute value function?

Back

An absolute value function is a function that outputs the non-negative value of its input. It is defined as f(x) = |x|, where |x| is the absolute value of x.

Front

How does the graph of an absolute value function look?

Back

The graph of an absolute value function is V-shaped, with a vertex at the point where the input is zero. It opens upwards.

Front

What is the vertex of the function f(x) = |x - 4| + 3?

Back

The vertex of the function f(x) = |x - 4| + 3 is at the point (4, 3).

Front

How do you determine the average rate of change of a function over an interval?

Back

The average rate of change of a function f over the interval [a, b] is calculated using the formula: (f(b) - f(a)) / (b - a).

Front

What is the average rate of change of the function f(x) over the interval [5, 7] if f(5) = 1 and f(7) = -4?

Back

The average rate of change is (-4 - 1) / (7 - 5) = -5 / 2 = -2.5.

Front

What is a piecewise function?

Back

A piecewise function is a function that is defined by different expressions based on the input value. Each piece applies to a specific interval.

Front

How do you find the cost of renting a machine for multiple days?

Back

To find the total cost of renting a machine for multiple days, multiply the daily rental cost by the number of days rented.

Front

If a Karaoke machine costs $50 per day, how much does it cost to rent for 3 days?

Back

The total cost to rent the Karaoke machine for 3 days is $50 * 3 = $150.

Front

What is the cost of postage for a letter weighing 2.1 ounces?

Back

The cost of postage for a letter weighing 2.1 ounces is 43 cents.

Front

What is the formula for calculating the cost of postage based on weight?

Back

The cost of postage typically increases with weight, and can be calculated using a pricing table provided by postal services.