Module 4 Quiz
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Thomas Edison State College *
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121
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Mathematics
Date
Apr 3, 2024
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Feedback 10f 8 Evaluate the expression 3g(4) - 2h(-1), given functions g and h. g(x)=7-6x h(x)=7x2-3x+6 ~ 3g(4) = -51; 2h(-1) = 20; so 3g(4) - 2h(-1) = -71 ® 3g(4) =-51; 2h(-1) = 32; so 3g(4) - 2h(-1) = -83 ™ 3g(4) = 91; 2h(-1) = 20; so 3g(4) - 2h(-1) =71 ~ 3g(4) = 91; 2h(-1) = 32; so 3g(4) - 2h(-1) =59 1 outof 1 Correct. A question like this one will appear on your midterm exam. Feedback 2018 The amount of recycled items, R, produced by a city with population p is given by R = (o). Ris measured in tons per week, and p is measured in thousands of people. The town of Tuftonboro has a population of 65,000 and produces 19 tons of recycled items each week. Express this information in terms of the function . Then, explain the meaning of the statement £(65) = 19. fp) = %p‘ 19,000 people produce 65 tons per week of recycled items . fip) = %p‘ 65,000 people produce 19 tons per week of recycled items 65 fip) = Ep 19,000 people produce 65 tons per week of recycled items fip) = %p 65,000 people produce 19 tons per week of recycled items. 1 outof 1 Correct. A question like this one will appear on your midterm exam Feedback 3018 Indicate the domain and range of the graphed function using interval notation 15 1 05 05 ) Domain: [-1.8); Range: [-4.5.2) ® Domain: (- . 45); Range: [-1, ) ) Domain: [- . 45) Range: (1, ] ) Domain: (- . . 45); Range: (-1, ) 1 outof 1 Correct. A question like this one wil appear on your midterm exam
Evaluate f(6), 2), f-3). and 5) -1 x>0 X) = 483 {7x+5 x<-3 A7, 2) = 3, f-3) = 16, f(5) = 24 " #-6) ~ 16) ® 7:6) A f6)=-37; f2) = 5, f-3) = 26 5)= 26 1 outof 1 Correct. A question like this one will appear on your midterm exam Feedback 508 Find the average rate of change. g(x)=4x2-160n[3,-3+b] ®45-24 O ap?- 245 ~ ab+24 O ab?+ 246 1 outof 1 Correct. A question like this one will appear on your midterm exam
Feedback 6 of 3 Use the graph to estimate the absolute extrema (if any) of the function and to estimate the intervals on which the function is increasing and decreasing i i i i Ty T | 20 b . 10{ 435 3 25 2 TS 5 1 15 2/25 3 35 4 45 5 55 Sbo 10 i | | 15 No absolute minimum and absolute maximum at ( 2 ) decreasing on (2, 1.5); increasing on (1.5, 2.5) (- 2,17) (- 2,17) (- 2,17) xQ Absolute minimum at (1.5, -5) and absolute maximum at and (2.5, 8); decreasing on (-2, 1.5); increasing on (15, 2.5) Absolute minimum at (1.5, -5) and absolute maximum at . : decreasing on (-2, 1.5; increasing on (15,2.5) Absolute minimum at (15, -5) and absolute maximum at decreasing on [-2, 1.5); increasing on (1.5, 25] 1 outof 1 Correct. A question fike this one will appear on your midterm exam Feedback 7 of 8 Araindrop hitting a lake makes a circular ripple. I the radius, in centi . grows as a function of time in mi ing to 1(f) = 15,7 +2. find the area of the ripple as a function of time, where t=5 (Note: The area of a circle s given by the equation A= 7 2) Area: A((5) = 105 ® Area: A((5) = 1575 7 ) Area: A(5)) = 2800 17 ) Area: A(r(5)) = 11025 1 1 outof 1 Correct. A question like this one will appear on your midterm exam.
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Use the pair of functions to find fig(-1)) and g(f-1)). fx)=3%2-5 g0 =3-2x © fig(-1))=-2 and g(f-1)) = 19 © fig(-1))=7 and g(f-1)) = 19 ® fig(-1))=70 and g(f(-1)) = 7 ~ igl-1) = 75 and g(fi-1)) = 7 1 outof 1 Correct. A question like this one will appear on your midterm exam