MTH 55 Chapter 2 HW List the quadrant(s) in which the given point is located. 1) (-10, 0) 1) A) On an axis B) II C) IV D) III 2) The first coordinate is positive. 2) A) I, IV B) I, II C) III, IV D) II, III 3) The second coordinate is negative. 3) A) II, III B) III, IV C) I, II D) I, IV 4) The coordinates have the same sign. 4) A) III, IV B) I, II C) I, III D) II, IV Plot the ordered pairs on the rectangular coordinate system provided. 5) A(6, 2), B(1, -5) 5) 6) A(- 3, -5), B(-2, 4) 6) 5 1
Determine whether the given point is a solution of the equation. 7) x + y = 16; (8, 4) 7) A) No B) Yes 8) x - y = 36; (6, 7) 8) A) No B) Yes Show that the two ordered pairs are solutions to the given equation. Then use the graph of the two points to determine another solution. Answers may vary. 9) y = 1 x + 3; (2, 4), (-2, 2) 9) 2 10) 3x - 3y = 12; (-2, -6), (4, 0) 10) Graph the linear equation. 2
11) y = 3x + 1 11) A) B) C) D) 3
12) y = 3 2 x - 4 12) A) B) C) D) 4
13) y = - 1 3 x + 8 3 13) A) B) C) D) 5
14) 3y - 21x = -9 14) A) B) C) D) 6
15) 8x + y = 0 15) A) B) C) D) Graph. 7
16) y = 1 x 16) A) B) C) D) 8
17) y = - 6 x 17) A) B) C) D) 9
18) y = -5 - x 18) A) B) C) D) 10
19) y = x3 + 4 19) A) B) C) D) Is the following correspondence a function? 20) 20) A) No B) Yes 21) 21) A) Yes B) No 11
Find the function value. 22) Find f(3) when f(x) = -x + 9. 22) A) 6 B) 1 C) -1 D) -6 23) Find f(-7) when f(x) = -2x - 6. 23) A) 8 B) 4 C) -6 D) -7 24) Find f(-4) when f(x) = x2 + 3x + 5. 24) A) 23 B) -1 C) 33 D) 9 25) Find f(0) when f(x) = x2-3x + 7. 25) A) 49 B) 7 C) -7 D) 0 26) Find f(a) when f(x) = x - 6 26) A) x + a B) a - 6 C) a - 6 D) 6 - a Solve the problem. 27) It has been determined that the number of fish f(t) that can be caught in t minutes in a certain pond 27) using a certain bait is f(t) =.29t + 1, for t > 10. Find the approximate number of fish that can be caught if you fish for 10 minutes. A) About 14 fish B) About 3 fish C) About 9 fish D) About 12 fish 28) The function P(d) = 1 + d 33 gives the pressure, in atmospheres (atm), at a depth d feet in the sea. 28) Find the pressure at 33 feet. A) 1 atm B) 0 atm C) 34 atm D) 2 atm 33 Graph the function. 29) f(x) = 2x - 4 29) 12
A) B) C) D) 30) f(x) = x2 + 2x - 9 30) 13
A) B) C) D) 31) f(x) = 1 4 x + 3 31) 14
A) B) C) D) 32) f(x) = 3 - x 32) 15
A) B) C) D) Determine whether the graph is the graph of a function. 33) 33) A) Function B) Not a function 16
34) 34) A) Function B) Not a function Solve. 35) Cars sold 35) Year Crafty Bill's Cool Car Sales opened as a used car sales lot in 1991. The graph shows the number of cars sold as a function of time. What is the approximate number of cars sold in 1995? A) 750 cars B) 600 cars C) 700 cars D) 350 cars 36) The graph shows the relationship between the area A of a rectangle and the length L, if the width is 36) fixed. Find the area if the length is 17 cm. Area (in cm2) Length (in cm) A) 380 cm2 B) 340 cm2 C) 280 cm2 D) 300 cm2 17
For the function represented in the graph, determine the domain or range, as requested. 37) Find the domain. 37) A) {x -2 x 2} B) {x -4 x 4} C) {-5, -4, -3, -2, -1, 0, 1, 2, 3} D) {-4, -3, -2, -1, 0, 1, 2, 3} 38) Find the range. 38) A) {-5, -4, -3, -2, -1, 0, 1, 2, 3} B) {y -5 x 3} C) {y -1 x 1} D) {-4, -3, -2, -1, 0, 1, 2, 3, 4} 39) Find the range. 39) A) {y 2 y -2} B) {-5, -4, -3, -2, -1, 0, 1, 2, 3, 4, 5} C) {y -4 y 2} D) {y -2 y 2} 18
40) Find the domain. 40) A) {x -3 x 3 } B) {x x is a real number } C) {x -5 x 5 } D) {x -18 x 18 } The graph of a function f is provided. Determine the requested function value. 41) f(1) 41) A) 3 B) -2 C) 1 D) -1 42) f(3) 42) A) 6 B) 8 C) -2 D) 0 19
A function f is depicted in the graph. Find any input values that produce the indicated output. 43) f(x) = 1 43) A) 4 B) -2 C) -3 D) -4 44) f(x) = 5 44) A) x = -1 and x = 3 B) x = -1 C) x = 1 and x = -3 D) x = 9 and x = -7 Find the domain. 45) f(x) = 3 x + 6 45) A) {x x is a real number and x -6} B) {x x is a real number and x -3} C) {x x is a real number and x 6} D) {x x is a real number and x 3} 46) f(x) = 7-4 - x 46) A) {x x is a real number and x 7} B) {x x is a real number and x -4} C) {x x is a real number and x -7} D) {x x is a real number and x 4} 47) f(x) = -5x - 3 47) A) All real numbers B) {x x is a real number and x -9} C) {x x is a real number and x 3} D) {x x is a real number and x 0.33333333} 20
48) f(x) = x2 + 8 48) A) {x x is a real number and x 8} B) All real numbers C) {x x is a real number and x 8} D) {x x is a real number and x -8} Find the function value. 49) f(1) 49) A) -3 B) -6 C) -4 D) -2 50) f(2) 50) A) 3 B) 6 C) 5 D) 7 Determine the slope and the y-intercept. 51) y = 0.875x - 6.5 51) A) Slope 0.875, y-intercept (0, 6.5) B) Slope -6.5, y-intercept (0, 0.875) C) Slope -0.875, y-intercept (0, -6.5) D) Slope 0.875, y-intercept (0, -6.5) 52) 4x - 8y = -24 52) A) Slope 1, y-intercept (0, 3) B) Slope -2, y-intercept (0, 3) 2 C) Slope 2, y-intercept (0, -3) D) Slope - 1, y-intercept (0, -3) 2 21
53) 14y + 5x + 7 = 5 + 5x 53) A) Slope 5 14, y-intercept (0, - 1 7 ) B) Slope 0, y-intercept (0, 1 7 ) C) Slope - 5 14, y-intercept (0, - 5 7 ) D) Slope 0, y-intercept (0, - 1 7 ) Find the slope of the line. 54) 54) A) 5 B) 1 C) -1 D) -5 55) 55) A) 2 B) - 1 2 C) -2 D) 1 2 22
56) 56) A) 4 B) 1 4 C) -4 D) - 1 4 Find the slope of the line containing the two given points. 57) (2, 1) and (4, 5) 57) A) 1 B) 2 C) 1 2 D) - 2 58) (9, 1) and (-7, -1) 58) A) 8 B) - 1 8 C) 0 D) 1 8 59) (6.9, -4.1) and (16.5, -6.5) 59) A) - 4 B) 4 C) 1 4 D) - 1 4 Find the slope (or rate of change). Use appropriate units. 60) 60) Distance Traveled in Miles Number of Hours Spent Traveling A) 0.4 miles per hour B) 2.6 miles per hour C) 4.6 miles per hour D) 0.2 miles per hour 23
61) 61) Value of Car in Thousands of Dollars Number of Years of Use A) $5000 per year B) $6000 per year C) -$6000 per year D) -$5000 per year Find the intercepts and then graph the line. 62) -4x - 8y = 16 62) A) (0, 2); (-4, 0) B) (0, -2); (4, 0) 24
C) (0, 2); (4, 0) D) (0, -2); (-4, 0) 63) x - 2y = 6 63) A) (0, 3); (6, 0) B) (0, -3); (6, 0) 25
C) (0, -3); (-6, 0) D) (0, 3); (-6, 0) 64) 8x - 2 = y 64) A) (0, -2); ( 1 4, 0) B) (0, 1 ); (-2, 0) 4 26
C) (0, - 1 4 ); (-2, 0) D) (0, -2); (- 1 4, 0) 65) 1.3y - 2.7x = 7.02 65) A) (0, -2.6); (5.4, 0) B) (0, 5.4); (-2.6, 0) 27
C) (0, 2.6); (5.4, 0) D) (0, -5.4); (-2.6, 0) Graph using the slope and y-intercept. 66) -4y = x - 3 66) A) B) 28
C) D) 67) x - 4y = -3 67) A) B) 29
C) D) 68) 3y + 12x = -6 68) A) B) 30
C) D) 69) -4x - y = 0 69) A) B) 31
C) D) Graph. 70) 4x = 16 70) A) B) 32
C) D) 71) 2 f(x) + 7x = 4 + 7x 71) A) B) 33
C) D) If possible, determine the slope. 72) x = -5 72) A) - 1 5 B) Not defined C) 0 D) -5 73) 2 f(x) + 6 = 0 73) A) - 1 3 B) Not defined C) - 3 D) 0 74) 6-3x = 5 + 4x 74) A) 1 7 B) Not defined C) 0 D) - 1 7 Tell whether the lines are "parallel", "perpendicular", or "neither." 75) 3x - 4y = -15 75) 8x + 6y = -15 A) Perpendicular B) Neither C) Parallel 76) 9x + 3y = 12 76) 12x + 4y = 19 A) Perpendicular B) Neither C) Parallel Find a linear function whose graph has the given slope and y-intercept. 77) Slope 2, y-intercept (0, 3) 77) 5 A) f(x) = - 2 5 x + 3 B) f(x) = 2 5 x + 3 C) f(x) = 2 5 x - 3 D) f(x) = - 2 5 x - 3 78) Slope - 5 6, y-intercept 5 3 78) A) f(x) = 5 6 x - 5 3 B) f(x) = - 5 6 x - 5 3 C) f(x) = - 5 6 x + 5 3 D) f(x) = 5 6 x + 5 3 34
Find an equation of the line having the specified slope and containing the indicated point. Write your answer in slope-intercept form. 79) m = -6; (-9, 6) 79) A) y = -6x - 48 B) y = -6x - 56 C) y = -6x - 49 D) y = 6x - 50 80) m = - 1 ; (11, -5) 80) 2 A) y = - 1 2 x + 1 2 B) y = 1 2 x - 1 2 C) y = - 1 2 x + 3 D) y = - 1 2 x + 21 2 Find an equation of the line containing the given pair of points. 81) (-4, -8) and (4, 1) 81) A) y = 1 2 x - 7 2 B) y = - 9 8 x - 7 2 C) y = 9 8 x - 7 2 D) y = - 1 2 x - 7 2 82) (-2, 2) and (7, 9) 82) A) y = - 4 9 x + 32 9 B) y = - 7 9 x + 32 9 C) y = 4 9 x + 32 9 D) y = 7 9 x + 32 9 Write an equation of the line described. 83) Through (-6, 3), parallel to 5x - 7y = -65 83) A) y = 5 7 x + 51 7 B) y = 65 7 x + 65 7 C) y = 7 5 x + 3 5 D) y = - 5 7 x - 51 7 84) Through (-1, -9), perpendicular to -5x + 8y = -35 84) A) y = 8 5 x + 7 B) y = - 8 5 x - 53 5 C) y = 8 5 x + 53 5 D) y = - 5 8 x + 53 8 Solve the problem. 85) Persons taking a 30-hour review course to prepare for a standardized exam average a score of 620 85) on that exam. Persons taking a 70-hour review course average a score of 741. Find a linear function, S(t), which fits this data, and which expresses score as a function of time. Use this function to predict an average score for persons taking a 40-hour review course. Round your answer to the tenths place. A) 654.5 B) 643.0 C) 650.3 D) 664.3 86) In 1995 the United States recovered 24% of its municipal solid wastes through recycling, up from 86) 17% in 1990. Let P represent the percentage recycled and t the number of years since 1990. Find a linear function P(t) that fits this data. A) P(t) = -1.4t + 7 B) P(t) = 1.4t + 17 C) P(t) = 0.7t - 17 D) P(t) = 1.4t + 24 35