Math1375 - Ganguli - Fall 2020

Ganguli | Math 1375 | Fall 2020

Author: Suman Ganguli (Page 12 of 16)

Class 10 Agenda (Wed Sept 30)

September 30, 2020 / / 0 Comments

Class Info

Topics

  • Operations on functions (Ch 6)

 

To-Do:

  • Do Quiz #2 (due Friday Oct 2)
  • Read the section of the textbook listed above
  • See the MAT1375 Course Hub page: Lesson 6: Operations on functions
  • Complete WebWork sets: “Functions – Translations”, “Functions – Symmetries”, and “Functions – Operations” (due Tuesday Oct 6)

Class 9 Agenda (Tues Sept 29)

September 28, 2020 / / 0 Comments

Class Info

Topics

  • Transformations and symmetries of functions (Sec 5.2)

 

To-Do:

  • Read the section of the textbook listed above
  • See the MAT1375 Course Hub page: Lesson 5: Basic functions and transformations
  • Complete WebWork sets: “Functions – Translations” and “Functions – Symmetries” (due Thursday Oct 1)

What is the difference quotient?

September 24, 2020 / / 0 Comments

As we have discussed in class (and as you have seen in the homework!), the difference quotient of a function f(x) is defined as:

[f(x+h) – f(x)]/h

Why are we interested in the difference quotient? This is a concept that is at the heart of calculus (MAT1475 here at CityTech), which is why we are studying it in precalculus!

The idea behind the difference quotient is demonstrated by this graph:

Secant

(Hint: what’s the slope of the “secant line”?)

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