1 / 11

GBK Precalculus Jordan Johnson

GBK Precalculus Jordan Johnson. Week 1, Day 4. Today’s agenda. Greetings Intro Review / Submit HW (~15 min) Lesson: Classes of Functions (~15 min) Classwork / Homework Lab: GeoGebra Clean-up. HW Review. Section 1-1, pp. 5-7, #2-5. Functions – A new definition.

sheena
Download Presentation

GBK Precalculus Jordan Johnson

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. GBK PrecalculusJordan Johnson Week 1, Day 4

  2. Today’s agenda • Greetings • Intro • Review / Submit HW (~15 min) • Lesson: Classes of Functions (~15 min) • Classwork / Homework • Lab: GeoGebra • Clean-up

  3. HW Review • Section 1-1, pp. 5-7, #2-5.

  4. Functions – A new definition • A relation is a set of ordered pairs. • So named because it relates numbers; each pair (x, y) relates x to y. • A function is a set of ordered pairs (x,y) in which each value of x occurs only once (and therefore has only one related y-value).

  5. Functions – The Evaluation Rule • Function definitions look like: f(x) = blahblah • Function applications look like: f(15) • Or f(3x) – any expression can be in the parens. • To evaluate an application: • First, evaluate/simplify x if it’s not already simple. • Second, substitute x into the right-hand side

  6. Classes of Functions • Polynomial • Special cases: • Linear • Quadratic • Variation: • “f(x) is directly proportional to x.” • “f(x) is inversely proportional to x.” • Power functions vs. exponential functions • x2 vs. 2x

  7. Classes of Functions (cont.) • Rational functions • Ratio of two polynomials P(x)/Q(x)

  8. Restricting the Domain • …depends on the type of grapher you use. • The book describes how to do it with a graphing calculator. • We’ll do it in GeoGebra too.

  9. Classwork/Homework • pp. 12-14, Problem Set 1-2 • Due Tuesday, 9/7.

  10. Lab • Go to the computer lab. • Load fellowhuman.com/gbk/ when you get there.

  11. Clean-up / Reminders • Pick up all trash / items. • Push in chairs (at front and side tables). • See you tomorrow!

More Related