Gen Math 11 Operations on Functions PDF

Summary

This document provides examples and practice problems on operations on functions. It covers topics such as addition, subtraction, multiplication, division, and compositions of functions. It also includes real-world applications like toll fees, zoo admission, parking costs, and water utility charges.

Full Transcript

Operations on Functions Review: Review: Operations on Functions Learning target: At the end of the lesson, the learners should be able to: perform addition, subtraction, multiplication, division, and composition of functions. Example: Example: Try This! Try This...

Operations on Functions Review: Review: Operations on Functions Learning target: At the end of the lesson, the learners should be able to: perform addition, subtraction, multiplication, division, and composition of functions. Example: Example: Try This! Try This! Composite of Function A toll road charges a fee based on whether you are driving during the day or at night: During the day (from 6 AM to 6 PM), the toll fee is $1. At night (from 6 PM to 6 AM), the toll fee is $2. Let 𝑥 be the time (hours from 0 to 23 (0 represents midnight).. Let 𝐶(𝑥) be the toll fee A zoo charges an admission fee based on age: For visitors aged 2 years or younger, the fee is $3. For visitors older than 2 years, the fee is $7. Let 𝑥 be the age. Let 𝐶(𝑥) be the admission fee. Let's say a parking lot charges $5 for the first hour and $3 for each additional hour. The cost depends on how long you park. Let 𝑥 be the number of hours stayed. Let 𝐶(𝑥) be the total cost. 1. Jen stay for 4 hours 2. Cara stay for 7 hours A water utility company charges a flat rate of $30 for up to 500 gallons of water. If usage exceeds 500 gallons, an additional $0.05 is charged per gallon for every gallon beyond 500. Let 𝑥 be the number of Gallons. Let 𝐶(𝑥) be the total cost. 1. Jen travel for 500 gal. 2. Cara travel for 600 gal.

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