1. Sketch a graph of: X f(x) = 4x² Be sure to show all asymptotes and intercepts and indicate if the graph crosses its non-vertical a

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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**1. Sketch a graph of:**

\[ f(x) = \frac{x}{4 - x^2} \]

Be sure to show all asymptotes and intercepts and indicate if the graph crosses its non-vertical asymptote.

---

**2. Sketch a graph of:**

\[ g(x) = \frac{x^2 - x - 6}{x + 4} \]

Be sure to show all asymptotes and intercepts and indicate if the graph crosses its non-vertical asymptote.

---

**3. Solve analytically. Hint:** Move all terms to the left side (obtain 0 on the right) and combine all of the fractions together.

\[ \frac{1}{x - 2} + \frac{1}{x + 2} \leq \frac{2}{3} \]
Transcribed Image Text:**1. Sketch a graph of:** \[ f(x) = \frac{x}{4 - x^2} \] Be sure to show all asymptotes and intercepts and indicate if the graph crosses its non-vertical asymptote. --- **2. Sketch a graph of:** \[ g(x) = \frac{x^2 - x - 6}{x + 4} \] Be sure to show all asymptotes and intercepts and indicate if the graph crosses its non-vertical asymptote. --- **3. Solve analytically. Hint:** Move all terms to the left side (obtain 0 on the right) and combine all of the fractions together. \[ \frac{1}{x - 2} + \frac{1}{x + 2} \leq \frac{2}{3} \]
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