MAC1105 Florida International Multiple Representations of Functions Problems paper

User Generated

Arvyfuvzba

Mathematics

MAC1105

Florida International University

Description

see attachment see attachment see attachment see attachment see attachment see attachmentsee attachment see attachment see attachment see attachment see attachment see attachment see attachment see attachment see attachment see attachment see attachment see attachment

Unformatted Attachment Preview

MAC 1105 Pre-Class Assignment: Multiple Representations of Functions Read sections 2.1 ‘Graphs of Functions’ and 2.2 ‘Properties of Functions’ to prepare for class In this week’s pre-requisite module, you covered the topics plotting points, intercepts and interval notations. These are crucial skills needed for the conversation that we will be having this week about graph and properties of functions. Imagine the situation where you have a growing square that has side length s inches. As the square grows, the length, 𝑠, gets bigger. Consider the function that relates the perimeter, 𝑃, in inches, in terms of 𝑠, which is our independent variable. Let’s name this function 𝑃(𝑠) where s is our input and 𝑃(𝑠) is our output. In addition to the verbal description of perimeter above, we want to explore three additional representations of our function 𝑃. 1) Algebraic Formula a) What is the formula for the perimeter of a square? b) We can then define 𝑃 by using function notation and an algebraic expression rule that is in terms of s here: 𝑃(𝑠) =______________ 2) Graphical Representation a) Can 𝑠 be 0? Explain your answer. b) Can 𝑠 be negative? Explain your answer. c) What is the domain and range of 𝑃? d) Draw the graph of 𝑦 = 𝑃(𝑠) here: MAC 1105 Pre-Class Assignment: Multiple Representations of Functions Read sections 2.1 ‘Graphs of Functions’ and 2.2 ‘Properties of Functions’ to prepare for class e) So 𝑃 is a __________________ function. 3) Numerical Data Table This will be a table filled with input values and output values. Fill in the missing values for 𝑃(𝑠). Input Output 1 3 4 2 8 28 40 Note that a numerical data table can only show finitely many input-output pairs at any one time. While these four formats are very different looking, they all capture the same function, and are called the four representations of f: • • • • Verbal Algebraic Graphical Numerical 4) Describe one advantage of the algebraic representation of f compared to its graphical representation? 5) Describe one advantage of the verbal representation of f compared to its numerical representation?
Purchase answer to see full attachment
User generated content is uploaded by users for the purposes of learning and should be used following Studypool's honor code & terms of service.

Explanation & Answer

there you go! please let me know if you have any further questions. I'll be offline for about an hour, but i'll be here later.

MAC 1105 Pre-Class Assignment: Multiple Representations of Functions
Read sections 2.1 ‘Graphs of Functions’ and 2.2 ‘Properties of Functions’ to prepare for class
In this week’s pre-requisite module, you covered the topics plotting points, intercepts and interval notations.
These are crucial skills needed for the conversation that we will be having this week about graph and
properties of functions.
Imagine the situation where you have a growing square that has side length s inches. As the square grows, the
length, 𝑠, gets bigger.
Consider the function that relates the ...


Anonymous
Goes above and beyond expectations!

Studypool
4.7
Trustpilot
4.5
Sitejabber
4.4

Related Tags