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Determine the type of function; explain your reasoning. Input Output -4 -64 -3 -27 -2 -8 -1 -1 0. 1 1 2 8 27 4 64 3.

Determine the type of function; explain your reasoning. Input Output -4 -64 -3 -27 -2 -8 -1 -1 0. 1 1 2 8 27 4 64 3.

Trigonometry (11th Edition)
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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**Determine the type of function; explain your reasoning.** | Input | Output | |-------|--------| | -4 | -64 | | -3 | -27 | | -2 | -8 | | -1 | -1 | | 0 | 0 | | 1 | 1 | | 2 | 8 | | 3 | 27 | | 4 | 64 | **Explanation:** This table represents a set of input-output pairs. To determine the type of function that this table represents, observe the pattern in the input and output values. - For input 0, the output is 0. - For inputs 1, 2, and 3, the outputs are 1, 8, and 27 respectively. These outputs are the cubes of the inputs (1³, 2³, and 3³). - For inputs -1, -2, and -3, the outputs are -1, -8, and -27 respectively. These outputs are the cubes of the inputs (-1)³, (-2)³, and (-3)³. - This pattern continues for all given inputs. Thus, the function appears to be a cubic function of the form \( f(x) = x^3 \).
Transcribed Image Text:**Determine the type of function; explain your reasoning.** | Input | Output | |-------|--------| | -4 | -64 | | -3 | -27 | | -2 | -8 | | -1 | -1 | | 0 | 0 | | 1 | 1 | | 2 | 8 | | 3 | 27 | | 4 | 64 | **Explanation:** This table represents a set of input-output pairs. To determine the type of function that this table represents, observe the pattern in the input and output values. - For input 0, the output is 0. - For inputs 1, 2, and 3, the outputs are 1, 8, and 27 respectively. These outputs are the cubes of the inputs (1³, 2³, and 3³). - For inputs -1, -2, and -3, the outputs are -1, -8, and -27 respectively. These outputs are the cubes of the inputs (-1)³, (-2)³, and (-3)³. - This pattern continues for all given inputs. Thus, the function appears to be a cubic function of the form \( f(x) = x^3 \).
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