Name Date Class, Graphing Relationships Practice and Problem Solving: A/B Solve. 1. The graph shows the amount of rainfall during fone storm. What does segment d represent? 2. Which segment represents the heaviest rainfall? For each situation, tell whether a graph of the situation would be a continuous graph or a discrete graph. 3. the number of cans collected for recycling 4. pouring a glass of milk. 5. the distance a car travels from a garage 6. the number of people in a restaurant. Identify which graph represents the situation, the kind of graph, and the domain and range of the graph. 7. Jason takes a shower, but the drain in the shower is not working Properly. ©. Depth of Water (in) Time (min)Name Date Class. Graphing Relationships Practice and Problem Solving: C Sketch a graph for each situation. Be sure to label your graph. fi 1. Sherry read i of a book, then went to bed. The next day she finished reading the entire book. 2. Simon counted the number of red trucks in each Section of thé parking lot at the mall 3. On Monday, the furniture truck made three deliveries, within 8 miles of the warehouse. 4, Lora has $15 to spend on movie rentals : for the week. Each rental costs $3. Sketch a graph to show how much oe money she might spend on movies in a ze week. Tell whether the graph is 86 continuous or discrete. a T2345 Number of Rentals Write a possible situation for each graph. WeightName Date Class, Understanding Relations and Functions Practice and Problem Solving: AB Express each relation as a table, as a graph, and as a mapping diagram. 1. (C2, 5), (4, 1), @, 1), C1, -2)} (4, 3), (3, 3), (2, 3), (1, 3)) y ive the domain and range of each relation. Tell whether the relation is a function. Explain. 5. 4 3 st 4 oth 3 D: D: R R R Function? Function? Function? Explain: Explain: Explain: cases ei atc me cee nara egw nn evn gga pg 2 eee 8‘The vertical line test is a quick way to check if a graph is a function. If a vertical line can be drawn which touches the graph at more than tone point, then the graph is not a funetion, Use the vertical line test to determine which of the following graphs represents a function, Lo] IL Iv. IV a) Land 1 b) I and I ©) Mand IV 4) IV only D 8 9% 10, Which of the following graphs is a function? a) Which letter, when drawn on the coordinate plane, ‘could represent a function? av YR 20 ap Which letter, when drawn on the coordinate plane, ‘could represent a function? 2B >) U 9Q aT P94Domain and Range Notes NAME: ‘State the domain and range for each graph and then tell if the graph is a function (write yes or no). Ifthe graph is a function, state whether it is discrete, continuous or neither. 1) Domain, 2) Domain, 3) Domain, Range Range Range Function?. Function? Function? 4) Domain, 5) Domain. 6) Domain, Range Range. Range Function? Function? Function?_ 7) Domain, * 8) Domain; - + 9) Domain, Range Range. Range: Function? Fungtion?, Function?Domain and Range Worksheet #1 Name: State the domain and range for each graph and then tell if the gspah is a function (write yes or no). Ifthe graph is a function, state whether itis discrete, continuous or neither. 1) Domain, 2) Domain, 3) Domai Range. Range, Range. Funetion?, Function? Function? 4) Domain. . 6) Domain. Range, Range. Function? __ Function’. Function? 10) Domain. 11) Domain, ‘ 12) Domain. Range. ‘Range: Range Function?. Function? Function?Date Class. Modeling with Functions Practice and Problem Solving: A/B Identify the dependent and independent variables in each situation. 1. The cost of a dozen eggs depends on the size of the eggs. dependent: independent: 2. Ally works in a shop for $18 per hour. depender independent: 3. 5 pounds of apples costs $7.45. dependent: independent: For each situation, write a function as a standard equation and in function notation. 4. Keesha will mow grass for $8 per hour. standard: function: 5. Oranges are on sale for $1.59 per pound. standard: function: For each situation, identify the dependent and Independent variables: Write a function in function notation, and use the function to solve the problem. : . 6. A plumber charges $70 per hour plus $40 for the call. What does he charge for 4 hours of work? dependent: Solution: independent: function: 7. A sanitation company charges $4 per bag for garbage pickup plus a $10 weekly fee. A restaurant has 14 bags of g garbage. What will the sanitation company charge the restaurant? : Solution: depender independent: function: ‘Onna content Copyagh © by Hovghton Mita Hatourt Aatons and changes toe engina content ae the responsibly of he nstructorIdentify the independent and dependent variables in each situation. 3., More program money is given out to 4. Sales tax in the state of Maryland is 5% cities with a larger population, of the purchase price. b I D: D: Identify the independent and dependent variables. Write a rule in function notation for each situation. 5, Meg earns a $5 flat fee plus $4.50 per 6. Jeb is allowed 2 hours less television ‘student for a tutoring session. time per week than his older brother. Evaluate each function for the given input values. 7. For fix) = 3x +2, find Mx) when x= 4 and when 8, For g(x) =~€x, find g(x) when x =~6 and when x= 3. 9. For h(x) =x? ~ 4, find h(a) when x=2 and when x = ‘Complete the following. 10. A fitness class is being offered twice-a week for four weeks. The registration fee is $8.50 and the cost for each:class attended is $4.75. 7 Write a function rule to describe the total cost of ge the class. Find a reasonable domain and range 7 for the function. Evaluate each function for the given input values. 7. For (x) = 5x + 1, find f(x) when x = 2 and when x = 3. 8. For g(x) = 4x, find g(x) when x =~6 and when x= 2. 9. For h(x) = x— 3, find h(x) when x = 3 and when x Complete the following. 10. An aerobics class is being offered once a week for 6 weeks. The registration fee is $15 and the cost for each class attended is $10. Write a function rule to describe the total cost of the class. Find a reasonable domain and range for the function.48. ‘The size of a fungal colony is inodeled by the | 42417, where z is the 51. A pebble is dropped from a bridge into a river. Its the colony in tnicrons and 4 is the time in hours. height, h meters, above the river ? seconds efter ie Determine the size of the colony in 5} hours. |, is released is modelled by the quadratic function Mt) = 65~4.9¢2. How high is the pebble after 2s? 8) 62} b) 252) 28a) 8 8) Om b) 196m c) 344m 49. The equation p(n) = Bn? — 17 represents the 4) 454m ©) 55.2m overall profit from production for a company where P 5s the total profit in dollars and n is the number - of hours per day that the production line operates. Determine the profit when n= 10} hours. a) $523.30 b) $367.50) $247.60 d) $856.00 50. A Dall is thrown in the air. Its height,/h (in meters), is given by h = ~4.91? + 308-46 where ¢ is the time (in seconds). What is the height of the ball at the instant it is thrown? 3) Om b) 4.9m ) 6m 4) 30m, e) Slim 80. Which equation corresponds to the values in this 81, Which equation corresponds to the val eee - sponds to the values in this ele = [9 a}s =a =s Taf 0 =e 1[-3 =a[3 0 [4 oa = rps b) y=4—a? a) y=4ne b) y=4-a? @) y=-2e-1 wna a) y= 22-1 Determine a relationship between the x- and y-values. Write an equation, 1 2. {(2, 3), (3, 5), (4,7), (5, 9)} + 4), (0, ~2), (2, 2), (5, 8)}Class, Date Graphing Functions Practice and Problem Solving: A/B . 1, 5} 2. y=2x-+ 12 for D={2, 3, 4} xlo}y 4, The function f(h) = 2d + 4.3 relates the f height of the water in a fountain in feet to the d diameter of the pipe carrying the water, Graph the function on a calculator and use the graph to find the height of the water when the pipe has a diameter of 1.5 inches. nara cone ony © yHeuglon i acoA ad charge othe oop ale see respnabity of Be nett p 4 (0Name Date Class, Practice A a CEH Graphing Functions Graph the function for the given domain. 1, y=x42;D:(-2,-1,0, 1,2} a y=xt+2 wy Graph the function. The domain is all real numbers. 2. yaxte2 x yex+2 boy) 3. A Pacific salmon can swim at a maximum speed of 8 mi/h. The function y = 8x describes how many miles y the fish swims in x hours. Graph the function. Use the graph to estimate the number of miles the fish swims in 3.5 hours, x y=8x wy veseb etree w Tame () ‘Ongina content Conyight © by Hot McDougal Adon an changes to he oiginal cntent are he fesponabity of he netictoe pgll