f(x)= 4x + 2 Domain = {-3, -1, 0, 2, 3} List the range }

Algebra and Trigonometry (6th Edition)
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Author:Robert F. Blitzer
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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**Problem 11:**

Given the function \( f(x) = 4x + 2 \) and the domain \(\{-3, -1, 0, 2, 3\}\).

**Task:**
List the range of the function for the given domain.

To find the range, substitute each value from the domain into the function \( f(x) \):

1. \( f(-3) = 4(-3) + 2 = -12 + 2 = -10 \)
2. \( f(-1) = 4(-1) + 2 = -4 + 2 = -2 \)
3. \( f(0) = 4(0) + 2 = 0 + 2 = 2 \)
4. \( f(2) = 4(2) + 2 = 8 + 2 = 10 \)
5. \( f(3) = 4(3) + 2 = 12 + 2 = 14 \)

**Range: \(\{-10, -2, 2, 10, 14\}\)**
Transcribed Image Text:**Problem 11:** Given the function \( f(x) = 4x + 2 \) and the domain \(\{-3, -1, 0, 2, 3\}\). **Task:** List the range of the function for the given domain. To find the range, substitute each value from the domain into the function \( f(x) \): 1. \( f(-3) = 4(-3) + 2 = -12 + 2 = -10 \) 2. \( f(-1) = 4(-1) + 2 = -4 + 2 = -2 \) 3. \( f(0) = 4(0) + 2 = 0 + 2 = 2 \) 4. \( f(2) = 4(2) + 2 = 8 + 2 = 10 \) 5. \( f(3) = 4(3) + 2 = 12 + 2 = 14 \) **Range: \(\{-10, -2, 2, 10, 14\}\)**
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