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Analyzing the Graph of a Function In Exercises 1-34, analyze and sketch a graph of the function, Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. 1 1. y = 3 x- 2 2. y = x + 1

Analyzing the Graph of a Function In Exercises 1-34, analyze and sketch a graph of the function, Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. 1 1. y = 3 x- 2 2. y = x + 1

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter1: Expressions And Functions
Section: Chapter Questions
Problem 74SGR
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Question
#24
**Analyzing the Graph of a Function** In Exercises 1-34, analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. 1. \( y = \frac{1}{x - 2} - 3 \) 2. \( y = \frac{x}{x^2 + 1} \) 3. \( y = \frac{x^2}{x^2 + 3} \) 4. \( y = \frac{x^2 + 1}{x^2 - 4} \) 5. \( y = \frac{3x}{x^2 - 1} \) 6. \( f(x) = \frac{x - 3}{x} \) 7. \( f(x) = x + \frac{32}{x^2} \) 8. \( f(x) = \frac{x^3}{3x - 1} \) 9. \( y = \frac{x^2 - 6x + 12}{x - 4} \) 10. \( y = \frac{-x^2 - 4x - 7}{x + 3} \) 11. \( y = x \sqrt{4 - x} \) 12. \( g(x) = x \sqrt{9 - x^2} \) 13. \( y = 3x^{2/3} - 2x \) 14. \( y = (x + 1)^2 - 3(x + 1)^{2/3} \) 15. \( y = 2 - x - x^3 \) 16. \( y = -\frac{1}{3}(x^3 - 3x + 2) \) 17. \( y = 3x^4 + 4x^3 \) 18. \( y = -2x^4 + 3x^2 \) 19. \( y = x^5 - 5x \) 20. \( y = (x - 1)^5 \) 21. \( y = |2x - 3| \) 22. \( y = |x^2 - 6x + 5| \) 23. \( f(x) = e^{3x}(2 - x) \)
Transcribed Image Text:**Analyzing the Graph of a Function** In Exercises 1-34, analyze and sketch a graph of the function. Label any intercepts, relative extrema, points of inflection, and asymptotes. Use a graphing utility to verify your results. 1. \( y = \frac{1}{x - 2} - 3 \) 2. \( y = \frac{x}{x^2 + 1} \) 3. \( y = \frac{x^2}{x^2 + 3} \) 4. \( y = \frac{x^2 + 1}{x^2 - 4} \) 5. \( y = \frac{3x}{x^2 - 1} \) 6. \( f(x) = \frac{x - 3}{x} \) 7. \( f(x) = x + \frac{32}{x^2} \) 8. \( f(x) = \frac{x^3}{3x - 1} \) 9. \( y = \frac{x^2 - 6x + 12}{x - 4} \) 10. \( y = \frac{-x^2 - 4x - 7}{x + 3} \) 11. \( y = x \sqrt{4 - x} \) 12. \( g(x) = x \sqrt{9 - x^2} \) 13. \( y = 3x^{2/3} - 2x \) 14. \( y = (x + 1)^2 - 3(x + 1)^{2/3} \) 15. \( y = 2 - x - x^3 \) 16. \( y = -\frac{1}{3}(x^3 - 3x + 2) \) 17. \( y = 3x^4 + 4x^3 \) 18. \( y = -2x^4 + 3x^2 \) 19. \( y = x^5 - 5x \) 20. \( y = (x - 1)^5 \) 21. \( y = |2x - 3| \) 22. \( y = |x^2 - 6x + 5| \) 23. \( f(x) = e^{3x}(2 - x) \)
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