1 / 17

Exponential Functions: 8.2

Exponential Functions: 8.2. Properties of Exponential Functions Part 1: Domain and Range, Zeros, and Intercepts. Exponential Functions: 8.2. Activation: Warm Up pg. 343 B & Motivator Region Tournament-Tutoring/E2020 Quiz #1 B-DAY 2/23 A-DAY 2/24. Exponential Functions: 8.2.

emmett
Télécharger la présentation

Exponential Functions: 8.2

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. Exponential Functions: 8.2 Properties of Exponential Functions Part 1: Domain and Range, Zeros, and Intercepts

  2. Exponential Functions: 8.2 Activation: Warm Up pg. 343 B & Motivator Region Tournament-Tutoring/E2020 Quiz #1 B-DAY 2/23 A-DAY 2/24

  3. Exponential Functions: 8.2 IMPORTANT DATES QUIZ #1B-DAY 2/23 A-DAY 2/24 MidUnit Test A-DAY 3/5 B-DAY 3/6 Quiz # 2 A-DAY 3/15 B-DAY 3/16 Unit Test B-DAY 3/22 A-DAY 3/23

  4. Exponential Functions: 8.2 EQ: What is the basic exponential function? Today we will review how to graph an Exponential Functions!!

  5. Exponential Functions: 8.2 • b. Investigate and explain characteristics of exponential functions, including domain and range, asymptotes, zeros, intercepts, intervals of increase and decrease, rates of change, and end behavior.

  6. Exponential Functions: 8.2 Review Homework Examples: Pg. 495 (6-9) Pg.496 (13-16)& (25-28) Page p.495/496 #8, 11, 15, 19, 25, 27 Exponential Worksheet #13, 15, & 17

  7. Exponential Functions: 8.2 **Remember when you have a negative exponent, you will flip over the fraction far (place the exponent in the opposite segment of the division bar: numerator/denominator) and make the exponent POSITIVE.** **You only flip the variable attached to the exponent; not the coefficient** Examples:

  8. Exponential Functions: 8.2

  9. Exponential Function: 8.2 Remember??? Basic Linear Function: y= x Basic Quadratic Function: y=x² Fact: Unlike Linear and Quadratic Functions, the basic Exponential Function is not a single function Fact: Exponential Functions depends on the BASE of the Exponential Function

  10. Exponential Function: 8.2 The Basic Exponential Function is written as y= for b>0 , b, and x is ANY real number, and b is a positive number Variable x is now the power (exponent), rather than the base like with a linear function Problem #2 page 346 # 1, 3, 4, 5, & 6 Complete Table and Graph Key Terms Review: Zeros (Solutions, X-intercepts)- Set of x-values such that f(x)=0 Ex: x + 3= 0 X =-3 X-intercepts- are the x-coordinate (x-value) of the point where a graph crosses the x-axis. • The values at which the graph crosses the x-axis • To solve set y or f(x) equal to 0 and solve

  11. Exponential Function: 8.2 Y-intercept • The y-intercept is the y-coordinate of the point where a graph crosses the y-axis. • The values at which the graph crosses the y-axis • To solve replace x-values with 0 Domain- x-values of a function (-∞, ∞) Range- y-values of a function (0, y- intercept value)

  12. Exponential Function: 8.2 Exponential Growth (positive exponent)/Decay (negative exponent or the base is 0 or 1) Problems are examples of Exponential Functions

  13. Exponential Function: 8.2 • Exponential functions with a base > 1 (whole #) have the following characteristic: • the higher the number for the base the CLOSER the graph will be to the y-axis/ steeper graph in Quadrant 1 Graph: y= 2ˣ, y= 3ˣ, y=4ˣ, y=5ˣ

  14. Exponential Function: 8.2 • Exponential functions with a base between 0 and 1 (fraction) has the following characteristics: • The smaller the fraction or decimal the closer the graph is to the y-axis in Quadrant 2 • The graph falls from left to right (decreases) Graph y= .9ˣ, y= .1ˣ, y= .45ˣ, y=.25ˣ

  15. Exponential Function: 8.2 TOTD: 1) What is the difference between an exponential function and a linear/quadratic function?

  16. Exponential Function: 8.2 Homework Redo Exponential Properties Review pg. 501-503(6-16)

  17. Exponential Function: 8.2 Activation: pg. 343 Warm Up & Motivator Instruction: Notes on Domain, Range, Zeroes, Intercepts Work: Complete Guided Practice Examples-Problem 1 & 2 Assessment: Unit 5 Quiz 1 Summary: What is the difference between an exponential function and a linear/quadratic function?

More Related