CC MATH 1021 1

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Clemson University *

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Apr 3, 2024

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MATH 1020 Calculus Concepts 1.11 Summary LA 1.11 Summary Section: ___ Group Number: _______ Score: ______/20 Name: _________________________________ Credit is only given for group work to those present on all days LA is worked in class. 1. (7 pts) Complete the table by circling one answer in each cell. Question Linear Exponential Logarithmic Quadratic Logistic Cubic How many concavities can the function have? 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 Can the function ever change direction? Yes No Yes No Yes No Yes No Yes No Yes No How many horizontal asymptotes does the function have? 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 How many vertical asymptotes does the function have? 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 0 1 2 In the space below, sketch an example graph for each type of function. Make sure to label your graphs. O O & oo O O O O C O O O O O 8 00 g o 0 0 0 0 exponential logarithmic line ~ Cubic quadratic logistic ru ~
MATH 1020 Calculus Concepts 1.11 Summary LA 1.11 Summary 2. (7 pts) Figure 1 Figure 2 Figure 3 Figure 4 Complete parts a-c using the words: inflection point, relative max, relative min, limiting value a. The graph in Figure 1 shows a(n) ____________________, but the graph in Figure 3 does not. b. The graph in Figure 2 shows a(n) ____________________, but the graph in Figure 1 does not. c. The graph in Figure 4 shows a(n) ____________________, but the graph in Figure 2 does not. d. Based on the graphs above, determine which of the types of models we have talked about is represented in each figure. Figure 1: ____________________ Figure 2: ____________________ Figure 3: ____________________ Figure 4: ____________________ e. Recall that we can often determine which type of model is most appropriate for a data set based on the scatter plot. Suppose we get a scatter plot with the following behaviors and determine which model(s) is/are most appropriate. No curvature indicates a(n) ______________________ model. A single concavity indicates a(n) ____________________, ____________________, or _________________ model. An inflection point indicates a(n) ____________________ or ___________________ model. A limiting value indicates a(n) ____________________ or ___________________ model. f. Suppose that a scatter plot is concave down everywhere, has positive output values, and the input values range from x = -1 to x = 5. Which type of model would be most appropriate for this data? Explain why no other type of model is appropriate. relative mil inflection put limiting val quadratic Cubic exponential logistic linear quadratic exponential logarithmic Cubic logistic exponential logistic quadratic one concavity positive output values , concave down negative inpu
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