These 18 task cards are a great way to challenge your math students and assess their proficiency in working with functions. Students will have to determine whether a relation represents a function and if so find the domain and range. They will also have to determine whether a given equation is that of a function. Students will find values of a function, find the domain of functions, and perform operations on functions: addition, subtraction, multiplication, and division. Students will also use the vertical line test to determine whether a given graph is that of a function.
There are 18 cards in total. The answers are included in two forms: as a list and also to be copied front and back for immediate feedback. This frees up more of the teacher’s time to walk around and help those students who need more help.
Suggested use of task cards: Print one set of task cards. Pair students together and set up a rotation so that each pair knows who they will hand off their task card to. Give each pair a task card and each student should have his/her own recording sheet to show work and record their answers. Time the students (two to three minutes) and then have them switch the card by passing it to another pair of students in the rotation. With 18 task cards (unless you have a class of 36 or more), you’ll have task cards left over. I usually give the first group a task card from my pile of left-overs and then collect the last task card from the last group in the rotation so that the students don’t have to constantly get up from their seats. This will vary depending on your class size, seating arrangements, class configuration, etc.
You can also print a set per small group (of 3 or 4 students) and have them go through the task cards together. It’s completely up to you.
Understand the concept of a function and use function notation.
Understand that a function from one set (called the domain) to another set (called the range) assigns to each element of the domain exactly one element of the range. If f is a function and x is an element of its domain, then f(x) denotes the output of f corresponding to the input x. The graph of f is the graph of the equation y = f(x).
Use function notation, evaluate functions for inputs in their domains, and interpret statements that use function
See preview file to check out the problems.