Consider the following domain D. Find a range for each function below when codomain is Z. D = {x € Z| x² < 25} 1.1. f(x) = 3x + 1 1.2. g(x) = [x/4] 1.3. h(x) = [x/2]+ [x/2] 1.4. k(x) — х2 — 2х— 15 1.5. r(x) = 5

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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**Consider the following domain \( D \). Find a range for each function below when codomain is \( \mathbb{Z} \).**

\[ D = \{ x \in \mathbb{Z} \mid x^2 \leq 25 \} \]

**1.1.** \( f(x) = 3x + 1 \)

**1.2.** \( g(x) = \left\lfloor \frac{x}{4} \right\rfloor \)

**1.3.** \( h(x) = \left\lfloor \frac{x}{2} \right\rfloor + \left\lfloor \frac{x}{2} \right\rfloor \)

**1.4.** \( k(x) = x^2 - 2x - 15 \)

**1.5.** \( r(x) = 5 \)
Transcribed Image Text:**Consider the following domain \( D \). Find a range for each function below when codomain is \( \mathbb{Z} \).** \[ D = \{ x \in \mathbb{Z} \mid x^2 \leq 25 \} \] **1.1.** \( f(x) = 3x + 1 \) **1.2.** \( g(x) = \left\lfloor \frac{x}{4} \right\rfloor \) **1.3.** \( h(x) = \left\lfloor \frac{x}{2} \right\rfloor + \left\lfloor \frac{x}{2} \right\rfloor \) **1.4.** \( k(x) = x^2 - 2x - 15 \) **1.5.** \( r(x) = 5 \)
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