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24. Follow the seven step strategy to graph the following rational function. x²+2x-63 x²-9 To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. f(x)= y-axis symmetry origin symmetry neither y-axis symmetry nor origin symmetry What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The y-intercept is (Type an integer or a simplified fraction.) B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X A. The equation(s) of the vertical asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There are no vertical asymptotes. Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote. Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the function at the given value of x. -11 A. - 10 x²+2x-63 f(x)= x²-9 (Simplify your answer. Type an integer or a simplified fraction.) B. -1 O C. 1 Use the information obtained in the previous steps to graph the function between and beyond the vertical asymptotes. Choose the correct graph below. 10 D. 11

24. Follow the seven step strategy to graph the following rational function. x²+2x-63 x²-9 To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. f(x)= y-axis symmetry origin symmetry neither y-axis symmetry nor origin symmetry What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The y-intercept is (Type an integer or a simplified fraction.) B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X A. The equation(s) of the vertical asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There are no vertical asymptotes. Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote. Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the function at the given value of x. -11 A. - 10 x²+2x-63 f(x)= x²-9 (Simplify your answer. Type an integer or a simplified fraction.) B. -1 O C. 1 Use the information obtained in the previous steps to graph the function between and beyond the vertical asymptotes. Choose the correct graph below. 10 D. 11

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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24. Follow the seven step strategy to graph the following rational function. x²+2x-63 x²-9 To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. f(x) = y-axis symmetry origin symmetry neither y-axis symmetry nor origin symmetry What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The y-intercept is (Type an integer or a simplified fraction.) B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X A. The equation(s) of the vertical asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There are no vertical asymptotes. Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote. Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the function at the given value of x. -11 A. - 10 x²+2x-63 f(x)= x²-9 (Simplify your answer. Type an integer or a simplified fraction.) B. - 1 O C. 1 Use the information obtained in the previous steps to graph the function between and beyond the vertical asymptotes. Choose the correct graph below. 10 D. 11
Transcribed Image Text:24. Follow the seven step strategy to graph the following rational function. x²+2x-63 x²-9 To graph the function, first determine the symmetry of the graph of f. Choose the correct answer below. f(x) = y-axis symmetry origin symmetry neither y-axis symmetry nor origin symmetry What is the y-intercept? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The y-intercept is (Type an integer or a simplified fraction.) B. There is no y-intercept. What is/are the x-intercept(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The x-intercept(s) is/are (Type an integer or a simplified fraction. Use a comma to separate answers as needed.) B. There are no x-intercepts. Find the vertical asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. X A. The equation(s) of the vertical asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There are no vertical asymptotes. Find the horizontal asymptote(s). Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The equation(s) of the horizontal asymptote(s) is/are (Type an equation. Use a comma to separate answers as needed.) B. There is no horizontal asymptote. Plot points between and beyond each x-intercept and vertical asymptote. Find the value of the function at the given value of x. -11 A. - 10 x²+2x-63 f(x)= x²-9 (Simplify your answer. Type an integer or a simplified fraction.) B. - 1 O C. 1 Use the information obtained in the previous steps to graph the function between and beyond the vertical asymptotes. Choose the correct graph below. 10 D. 11
28. Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. (4-2x) 5x+2 Solve the inequality. What is the solution set? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) B. The solution set is the empty set. Choose the correct graph below. A. SO C. OE. -6-5-4-3-2-1 0 1 2 3 4 5 6 -6-5-4-3-2-1 0 1 2 3 4 5 6 B. D. F. -6-5-4-3-2-1 0 1 2 3 4 5 6 -654-3-2-1 5 ← ++++ -6-5-4-3-2-1 0 1 2 3 4 5 6
Transcribed Image Text:28. Solve the rational inequality and graph the solution set on a real number line. Express the solution set in interval notation. (4-2x) 5x+2 Solve the inequality. What is the solution set? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is (Simplify your answer. Type your answer in interval notation. Type an exact answer, using radicals as needed. Use integers or fractions for any numbers in the expression.) B. The solution set is the empty set. Choose the correct graph below. A. SO C. OE. -6-5-4-3-2-1 0 1 2 3 4 5 6 -6-5-4-3-2-1 0 1 2 3 4 5 6 B. D. F. -6-5-4-3-2-1 0 1 2 3 4 5 6 -654-3-2-1 5 ← ++++ -6-5-4-3-2-1 0 1 2 3 4 5 6
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