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Unit 3 Study Guide Name ________________________ Functions and Graphing 1. 1 Graph the equation 𝑦 = − 3 𝑥 + 2 with domain {-6, -3, 0, 1} by making a table of values. x y Domain:__________________________________________ Range:___________________________________________ 2. Determine whether each relation is a function. a) {(-2,3), (4,7), (24,4), (5,4)} b) {(9,3), (8,2), (9,1), (3,4)} __________________ _________________ ______________ ______________ 1 3. Graph the equation 𝑦 = − 3 𝑥 + 2 m = ________ ; b = __________ 4. Identify the slope and y-intercept Write a rule for the graph. b) m= _____ b = ______ Equation:___________ c) m= ______ b= _______ Equation:___________ Equation: ____________ m= _____ b= _____ 5. If you added an ordered pair to the set below, which ordered pair would make the relation not a function {(2, 11), (–9, 8), (14, 1), (5, 5)} A. (8, –9) B. (6, 11) C. (0, 0) D. (2, 18) 6. Is the ordered pair (7, 3) a solution of y = 3x – 12? Circle: YES or NO. SHOW YOUR WORK below. 7. Does the point (–1,–1) lie on the line 4x – y = –3? Circle: YES or NO. SHOW YOUR WORK below. For problems #8-11, use the information given to write an equation in slope-intercept form. 8. 9. Equation: _________________________ 10. Equation:_____________________________ Equation:_______________________ 11. x y -2 -5 -1 -3 0 -1 1 1 Equation:__________________________ 12. Which of the following relations has a range of { ̶ 4, ̶ 1, 0, 1} when x = ̶3, 0, 1, and 2? F y=x ̶ 1 G y= ̶x ̶ 1 H y= ̶x+1 J y= x+1 13. The slope of a vertical line is _______________ while the slope of a horizontal line is _____________. For #14-16, graph the following equations: 2 14. y = ‒ 5 x – 2 15. y = ‒x + 1 16. 17. Which representation describes a different relation? _______________ 18. a) b) c) d) 5 y=4x 19. What is the domain and range of the relation? Domain:_________________________ Range:___________________________ 20. The perimeter of a regular pentagon is 5 times the length of a side. a) Identify the independent variable ________________________ (2) b) Identify the dependent variable __________________________ (2) c) Write the rule: _____________________________________________ (3) d) Calculate the perimeter of a pentagon if the side is 1.8 inches. Perimeter=_____________________ (3) 21. A car traveling 55 miles per hour goes 110 miles in 2 hours, 165 miles in 3 hours, and 220 miles in 4 hours as shown. a) For every 1-hour increase in time, what is the change in distance? b) Find the slope of the line. c) What does this slope actually mean in real life terms? _________________________________________