(1 point) The graph below shows Glenn's distance, G(t), in miles, from camp as a function of time, t in minutes, as he runs from a group ofzombies. a) How far from camp does Glenn start? Answer: 1)) Use the graph to complete the following table. "Ime Interval: 1 g t g 2 Average Velocity of Glenn in miles per minute: "Ime interval: 2 S 1; S 5 Average Velocity of Glenn in miles per minute: "Ime Interval: 5 g t g 6 Average Velocity of Glenn in miles per minute: ::: "Ime interval: 6 S t S 8 Average Velocity of Glenn in miles per minute: "Ime Interval: 8 S t S 9 Average Velocity of Glenn in miles per minute: c) At what letters is the slope of the tangent line positive? If none, enter DNE. Answer: d) At what letters is the slope of the tangent line negative? If none, enter DNE. Answer: e) At what letters is the slope of the tangent line zero? If none. enter DNE. Answer: EEE f) Rank the slope of the tangent line at the six points from smallest to largest. Smallest , Z: , 555 Largest 9) Having seen Glenn 0.3 miles from camp at t : 0 and a 0.9 miles from camp at t : 5, Rick throws a fit and claims that Glenn was taking it easy only walking 7.2 miles per hour. Choose the statement below which best explains why Rick's claim is or is not valid. 0 A. The claim is not valid because Glenn was running 0.12 miles per hour. 0 B. This claim is not valid because Rick is assuming Glenn was moving at a constant speed the entire time. O C. This claim is valid because the graph shows us that is how fast Glenn was moving. 0 D. This claim is valid because Rick is calculating Glenn's velocity from t : 0 to t : 5. h) Estimate Glenn's maximum velocity during the 10-minute interval. ::: miles per minute. Choose the explanation below which best describes how one might find this number. O A. Find the largest positive slope on the graph. 0 B. Find the steepest slope on the graph. O C. Find the largest negative slope on the graph. 0 D. Find the lowest point on the graph. O E. Find the highest point on the graph. 1') Given the graph of Glenn's distance, rank the following quantities in order from smallest to largest: G(0),G(2).G(5),G(7). SmallestG( 555 ),G( "' )Largest j) Given the graph of Glenn's distance, rank the following quantities in order from smallest to largest: G'(0), GT2), 0(5), G'(7)- SmallestG'( 555 ),G'( 555 ).G'( 555 ),G'( 55: )Largest (1 point) Consider the graph of x) on the interval [3, 3.01]. (1) Of the graphs below, which contains the secant line of f from 3 to 3.01? O A. Graph 2 Q B. Graph 1 O C. Graph 3 O D. Graph 4 b) Of the graphs below, which contains the tangent line of f at a: : 3? O A. Graph 2 O B. Graph 1 O C. Graph 4 O D. Graph 3 Graph 1 Graph 2 L736 I 1 I 3.91 Graph 3 Graph 4 (Click on a graph 0 enlarge it.) 6) Estimate f' (3) by computing the average rate of change of f on the interval [3, 3.01]. Note that the dashed lines in the graph are all 0001 units apart. Estimate: ::: d) What is the relationship between the estimate you found in part c) and the secant line? 0 A. "here is no relationship between the estimate and the secant line. 0 B. 'he estimate in part c) is the slope of the secant line. C) C. "he estimate in part c) is the yintercept ofthe secant line. 0 D. 'he estimate in part c) is the negative reciprocal of the slope of the secant line. e) Is your estimate for f'(3) greater than or less than the actual value of f'(3)? ? v
