The rates for Carolina’s dog boarding service are shown. Carolina plans on increasing the rate for the first hour by $5.

Write the step functions for the cost of boarding a dog before and after the rate increase.

For the general function f(x) = aIx – hI + k, what are the two linear functions containing the branches?

Know the absolute function very well.

Sue charges $ 15 for the first hour of babysitting and $ 10 for each additional hour, with the fraction of an hour counting as a whole hour. The rates that Vic charges for x hours of babysitting are modeled by the function shown

what is the rate of change for each function over the interval 7 ≤ x ≤ 11 ?

Sue charges $ 15 for the first hour of babysitting and $ 10 for each additional hour, with the fraction of an hour counting as a whole hour. The rates that Vic charges for x hours of babysitting are modeled by the function shown

Select the statements that are correct.
Statement 1: Sue charges more than Vic.
Statement 2: Vic charges more than Sue.
Statement 3: Sue and Vic charge equally.

Consider the function f(x) = 2Ix + 1I – 7.
A linear function containing one branch of the function is f(x) = 2(x + 1) – 7. What linear function contains the other branch?

Know what an absolute function is.

A group of friends eat at Jae’s café. They have an online coupon. The costs of their main courses, before applying the coupon, are $ 13.99, $ 16.99, $ 19.99, and $ 21.99. The total cost of their drinks is $ 12.00. What will their bill be before tax and tip?

The function g is the transformation of f(x) = IxI given by g(x) = -f(x + 15) – 7. Find the value of f(x) and g(x) for x = -11?

Selena needs at least 22 subway rides for the month. She has two options for buying subways cards. Write a function that represents the situation
which situation is correct when Selena has a certain number of rides?
Statement 1: If she has 22 rides for the month then the total cost is $ 30.5
Statement 2: If she has 26 rides for the month then the total cost is $ 25

What function g describes the graph of f after the given transformation?
f(x) = IxI + 1; translated 3 units down and 2 units left.

Remember how a function changes in different directions.

Selena needs at least 22 subway rides for the month. She has two options for buying subways cards. Write a function that represents the situation

Write a function for the graph.

A function is generally denoted by f(x) where x is the input. The general representation of a function is y = f(x).

Find the vertex of the function. f(x) = Ix + 7I – 2

Find the vertex of the function. f(x) = IxI – 2

The piecewise-defined function f(x) is shown.
f(x) = x + 2 , x ≤ 0
f(x) = 4x , x > 0
What is f(−3)?

Evaluate the following piecewise function for x = -1 and x = 6.

Find the vertex of the function. f(x) = -3Ix + 1I – 5