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Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither

Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither (a) What are the intercepts? (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (b) The domain is. (Type your answer in interval notation.) The range is. (Type your answer in interval notation.) (c) On which interval(s) is the graph increasing? Select the correct choice below and fill in any answer boxes within your choice. O A. The graph is increasing on. (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The graph is not increasing on any interval. On which interval(s) is the graph decreasing? Select the correct choice below and fill in any answer boxes within your choice. OA. The graph is decreasing on (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The graph is not decreasing on any interval. On which interval(s) is the graph constant? Select the correct choice below and fill in any answer boxes within your choice. OA. The graph is constant on (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The graph is not constant on any interval. (d) The function is Time Remaining: 00:11:22 Next Q Q
Transcribed Image Text:Using the given graph of the function f, find the following. (a) the intercepts, if any (b) its domain and range (c) the intervals on which it is increasing, decreasing, or constant (d) whether it is even, odd, or neither (a) What are the intercepts? (Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.) (b) The domain is. (Type your answer in interval notation.) The range is. (Type your answer in interval notation.) (c) On which interval(s) is the graph increasing? Select the correct choice below and fill in any answer boxes within your choice. O A. The graph is increasing on. (Type your answer in interval notation. Use a comma to separate answers as needed.) B. The graph is not increasing on any interval. On which interval(s) is the graph decreasing? Select the correct choice below and fill in any answer boxes within your choice. OA. The graph is decreasing on (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The graph is not decreasing on any interval. On which interval(s) is the graph constant? Select the correct choice below and fill in any answer boxes within your choice. OA. The graph is constant on (Type your answer in interval notation. Use a comma to separate answers as needed.) OB. The graph is not constant on any interval. (d) The function is Time Remaining: 00:11:22 Next Q Q
.6, 4.1& 4.2 ← For f(x)=√x and g(x) = 4x + 5, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fog)(x)=√4x+5 (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of fog is xx² 5 4 (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) OB. The domain of fog is all real numbers. (b) (gof)(x) = 4√2 +5 (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. < Question 22 of 25 A. The domain of g of is {xx>0}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) OB. The domain of g of is all real numbers. (c) (f of)(x)=√√√√x (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain off of is {xx>0}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) OB. The domain of f of is all real numbers. (d) (gog)(x) = 16x + 25 (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of g og is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) OB. The domain of g og is all real numbers. > C... This test: 60 point(s) possible This question: 4 point(s) possible Time Remaining: 00:1
Transcribed Image Text:.6, 4.1& 4.2 ← For f(x)=√x and g(x) = 4x + 5, find the following composite functions and state the domain of each. (a) fog (b) gof (c) fof (d) gog (a) (fog)(x)=√4x+5 (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of fog is xx² 5 4 (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) OB. The domain of fog is all real numbers. (b) (gof)(x) = 4√2 +5 (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. < Question 22 of 25 A. The domain of g of is {xx>0}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) OB. The domain of g of is all real numbers. (c) (f of)(x)=√√√√x (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain off of is {xx>0}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) OB. The domain of f of is all real numbers. (d) (gog)(x) = 16x + 25 (Simplify your answer.) Select the correct choice below and fill in any answer boxes within your choice. A. The domain of g og is {x}. (Type an inequality. Simplify your answer. Use integers or fractions for any numbers in the expression.) OB. The domain of g og is all real numbers. > C... This test: 60 point(s) possible This question: 4 point(s) possible Time Remaining: 00:1
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