State whether the given relation is a function and explain why. To each day of the month there corresponds the low temperature in your hometown on that day. Choose the correct answer below. O A. The given relation is not a function because there may be more than one low temperature every day. O B. The given relation is a function because there may be more than one low temperature every day. O C. The given relation is not a function because there is only one low temperature every day. O D. The given relation is a function because there is only one low temperature every day.

State whether the given relation is a function and explain why. To each day of the month there corresponds the low temperature in your hometown on that day. Choose the correct answer below. O A. The given relation is not a function because there may be more than one low temperature every day. O B. The given relation is a function because there may be more than one low temperature every day. O C. The given relation is not a function because there is only one low temperature every day. O D. The given relation is a function because there is only one low temperature every day.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter1: Expressions And Functions

Section1.7: Functions

Problem 59PFA

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Question

### 2.4.85

**State whether the given relation is a function and explain why.**

To each day of the month there corresponds the low temperature in your hometown on that day.

Choose the correct answer below.

- **A.** The given relation is not a function because there may be more than one low temperature every day.
- **B.** The given relation is a function because there may be more than one low temperature every day.
- **C.** The given relation is not a function because there is only one low temperature every day.
- **D.** The given relation is a function because there is only one low temperature every day.

**Explanation:**

Option D is selected as the answer.

Explanation for Option D:
The given relation describes a scenario where each day of the month corresponds to the lowest temperature for that particular day in your hometown. This implies a unique pair (day, low temperature) for each day of the month, as each day will have only one recorded lowest temperature. Hence, this constitutes a function because each input (day) has a unique output (low temperature).

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