Question

Determine whether the tables in Exercises 11 through 18 represent functions or not. Assume that the input is in the left column or top row. Explain your answer. $$\begin{array}{|c|c|}\hline \text { Month } & \begin{array}{c}\text { Cost } \\\text { (in dollars) }\end{array} \\\hline \text { Jan. } & 5689.35 \\\text { Feb. } & 7856.12 \\\text { May } & 2689.15 \\\text { June } & 1005.36 \\\hline\end{array}$$

Name: Problem 11, Chapter 1: Intermediate Algebra: Connecting Concepts through Applications
Uploaded: 2022-02-26T03:08:05-08:00
Duration: 25 s
Channel: Nick Johnson
Description: Determine whether the tables in Exercises 11 through 18 represent functions or not. Assume that the input is in the left column or top row. Explain your answer. Month Cost (in dollars) Jan. 5689.35 Feb. 7856.12 May 2689.15 June 1005.36

   Determine whether the tables in Exercises 11 through 18 represent functions or not. Assume that the input is in the left column or top row. Explain your answer.
$$\begin{array}{|c|c|}\hline \text { Month } & \begin{array}{c}\text { Cost } \\\text { (in dollars) }\end{array} \\\hline \text { Jan. } & 5689.35 \\\text { Feb. } & 7856.12 \\\text { May } & 2689.15 \\\text { June } & 1005.36 \\\hline\end{array}$$

Intermediate Algebra: Connecting Concepts through Applications

Mark Clark; Cynthia… 2nd Edition

Chapter 1, Problem 11

Instant Answer

Solved by Expert Nick Johnson

02/26/2022

Step 1

A function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. Show more…

Show all steps

Thanks for your feedback!

Determine whether the tables in Exercises 11 through 18 represent functions or not. Assume that the input is in the left column or top row. Explain your answer. $$\begin{array}{|c|c|}\hline \text { Month } & \begin{array}{c}\text { Cost } \\\text { (in dollars) }\end{array} \\\hline \text { Jan. } & 5689.35 \\\text { Feb. } & 7856.12 \\\text { May } & 2689.15 \\\text { June } & 1005.36 \\\hline\end{array}$$

Play audio

Feedback

Nick Johnson and 79 other subject Algebra educators are ready to help you.

Ask a new question

Labs

Want to see this concept in action?

NEW

Explore this concept interactively to see how it behaves as you change inputs.

View Labs

Key Concepts

Function

A function is a type of relation where each input from the domain is paired with exactly one output. This concept requires that no single input be associated with more than one output, ensuring a unique mapping between the domain and the codomain.

Domain

The domain is the complete set of all possible inputs for a function. When data is organized in a table format, the input values—typically listed in the left column or the top row—constitute the domain, serving as the starting point for the function's mapping.

Unique Mapping

Unique mapping is a fundamental property of functions, mandating that every input must be paired with one and only one output. In table representations, this is confirmed by verifying that no input is repeated with different outputs, thereby ensuring that the relationship meets the definition of a function.

Please give Ace some feedback