Note: Many problems in this packet will be completed together in class during review time. Students are not expected to complete every single problem in the packet. They should complete the “starred” problems on each page-- in addition to studying the notes and past quizzes– in order to be fully prepared for test. Topics: Vocabulary: domain, range, independent, dependent, relation, function, slope, y-intercept (see Quick Guide for definitions/ descriptions) Identifying a function Function tables (“magic #” shortcut) Solving linear equations Graphing linear equations (slope-intercept form– y = mx + b ) 4 ways to represent a function (Equation, Words, Table, Graph) Name:____________________________________________________________________________________Date:_____/_____/__________ Study guide/ practice Unit 6 Test, “Functions” On the back of this cover page is the Unit 6 “Quick Guide” – for your reference. Input Output

Unit 6, “Functions,” Quick Guide ALWAYS try your BEST!! EquationTableGraph y = 3x + 2 xy All ordered pairs must fit on line! Plug in the “x” values from the table!

Fill-in-the-Blanks: A function is a special type of ______________________________________ where every member of the domain is paired with exactly __________member of the range. In other words, there can never be a repeating ______________________ value in the same relation. 1.Which of the following relations is not a function? 2.Which of the following relations is a function? 3.Which of the following is NOT a function? 4.Which of the following is a function? 5.Which of the following is NOT a function?

Write the linear equation that represents each of the following function tables: 1) y = ________________ 2) y = ________________ 3) y = ________________ 4) y = ________________ 5) y = ________________ 6) y = ________________ 7) y = ________________ 8) y = ________________ xy xy xy xy xy xy xy xy Which linear equation matches the following function tables? Remember the shortcut: Find the pattern going down “y” & use the “magic #” to MULTIPLY to the “x” #!! 1) A) y = x + 1 B) y = x + 2 C) y = 2x + 2 2) A) y = x – 3 B) y = -3x + 5 C) y = x + 5 3) A) y = x – 6 B) y = x + 8 C) y = 4x 4) A) y = x + 9 B) y = 2x + 4 C) y = 3x + 1 x0123 y02468 x-2012 y11852 x y x y CAREFUL... Can you use the shortcut for #3 and #4???

Solve the following linear equations (plug in “x” values exactly where “x” is in equation): EquationTable 1)y = x – 3 2)y = -3x + 4 3) x = y + 6 xy xy xy EquationTable 4) y = - x + 5 5) y = 4x - 6 6) x = 2y – 4 xy xy xy It’s ok to have fraction outputs!

Fill-in-the-Blanks: There are _____________________________ ways to represent a function. We can use an equation, words, a table, or a graph. If we are given one representation, we can use that information to find the other three ways to represent the function. EquationWordsTableGraph 1) y = 3x -2 2) “y is equal to twice a number, minus four.” 3) 4) xy xy xy xy

6)7) 8)9) 10)11)

12)13) 14) 15)