-10 -9 -8 7 -6 -5 -4 -3 -2 -1 1 2 3 4 5 6 7 8 9 10

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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**Graph Description:**

The graph depicts a polynomial function with the x-axis ranging from -10 to 10 and the y-axis similarly scaled. The curve appears to be a cubic function, crossing the x-axis at three distinct points:

1. At \(x = -7\)
2. At \(x = -2\)
3. At \(x = 2\)

The graph shows a downward trend starting from the left, reaching a local maximum roughly between \(x = -5\) and \(x = -4\), then descending to a local minimum around \(x = 0.5\), before rising again as it moves to the right.

**Function Options:**

The given function options are:

1. \(f(x) = (x+7)(x-2)(x-2)\)
2. \(f(x) = (x-7)(x+2)(x+2)\)
3. \(f(x) = (x+7)(x+2)(x+2)\)
4. \(f(x) = (x-7)(x-2)(x-2)\)

Given the x-intercepts visible on the graph, the correct expression that matches the graph's intercepts should be chosen based on roots \(x = -7\), \(x = -2\), and \(x = 2\).
Transcribed Image Text:**Graph Description:** The graph depicts a polynomial function with the x-axis ranging from -10 to 10 and the y-axis similarly scaled. The curve appears to be a cubic function, crossing the x-axis at three distinct points: 1. At \(x = -7\) 2. At \(x = -2\) 3. At \(x = 2\) The graph shows a downward trend starting from the left, reaching a local maximum roughly between \(x = -5\) and \(x = -4\), then descending to a local minimum around \(x = 0.5\), before rising again as it moves to the right. **Function Options:** The given function options are: 1. \(f(x) = (x+7)(x-2)(x-2)\) 2. \(f(x) = (x-7)(x+2)(x+2)\) 3. \(f(x) = (x+7)(x+2)(x+2)\) 4. \(f(x) = (x-7)(x-2)(x-2)\) Given the x-intercepts visible on the graph, the correct expression that matches the graph's intercepts should be chosen based on roots \(x = -7\), \(x = -2\), and \(x = 2\).
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