Compare Two Functions Given in Different Forms

Use the comparing sheet first so students can read rate and initial value in any form. Then assign the car wash task as a project or a group activity.

Compare rates, initial values and outputs for function pairs shown as tables, graphs, rules and words. The directions on the page read: Compare functions A and B. Write each rate of change, initial value and value at the given x. Then circle the function with the greater value at that x. Show your work. An answer key is included.

Yes, both. We made it for 8th grade functions, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.

Find the rate of change and the initial value of each, whether it is a table, a graph, an equation or a description. Then compare them or find each value at the same x.

It is the output when the input is 0, the b in y = mx + b. In the car wash task, the initial value is the negative $72 spent on supplies before any cars are washed.

It is the input where the profit is $0. In Plan a Car Wash Fundraiser With Functions, students find how many cars the class must wash to cover the supply cost.