Define Sx² – 5 if x < 1 - f(x) = 2x + 1 if x >1 Calculate f(2).
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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![### Piecewise Function and Calculation
#### Define
A piecewise function \( f(x) \) is defined as follows:
\[
f(x) = \begin{cases}
x^2 - 5 & \text{if } x < 1 \\
2x + 1 & \text{if } x \geq 1
\end{cases}
\]
#### Calculate \( f(2) \)
To find \( f(2) \), we need to determine which part of the piecewise function applies when \( x = 2 \).
Since \( 2 \geq 1 \), we use the part of the function where \( f(x) = 2x + 1 \).
Therefore,
\[ f(2) = 2(2) + 1 = 4 + 1 = 5 \]
So, \( f(2) = 5 \).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffe91e659-0274-4af0-b893-ea272a52ff02%2F24441f77-ce7e-4da9-a4ba-4ba045a25929%2F0kp2jje_processed.jpeg&w=3840&q=75)
Transcribed Image Text:### Piecewise Function and Calculation
#### Define
A piecewise function \( f(x) \) is defined as follows:
\[
f(x) = \begin{cases}
x^2 - 5 & \text{if } x < 1 \\
2x + 1 & \text{if } x \geq 1
\end{cases}
\]
#### Calculate \( f(2) \)
To find \( f(2) \), we need to determine which part of the piecewise function applies when \( x = 2 \).
Since \( 2 \geq 1 \), we use the part of the function where \( f(x) = 2x + 1 \).
Therefore,
\[ f(2) = 2(2) + 1 = 4 + 1 = 5 \]
So, \( f(2) = 5 \).
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