Warm Ups Term 4 Week 3. Warm Up 4/4/16 1.Graph f(x) = 3 x + 4. State the domain and range. Graph the inverse and state its domain and range. 2.Factor.

Slides:



Advertisements
Similar presentations
Logarithmic Functions Section 3.2. Objectives Rewrite an exponential equation in logarithmic form. Rewrite a logarithmic equation in exponential form.
Advertisements

Combining Functions Section 1.7. Objectives Determine the domain and range (where possible) of a function given as an equation. Add, subtract, multiply,
7.4 Function Notation and Linear Functions
5.2 Logarithmic Functions & Their Graphs
Solve a radical equation
Bell work Find the value to make the sentence true. NO CALCULATOR!!
7.4 Logarithms p. 499 Evaluate logarithms Graph logarithmic functions
Objectives Write equivalent forms for exponential and logarithmic functions. Write, evaluate, and graph logarithmic functions.
Logarithms.
Log a x y. Recognize and evaluate logarithmic functions with base a Graph logarithmic functions Recognize, evaluate, and graph natural logarithmic functions.
Unit 6 GA2 Test Review. Find the indicated real n th root ( s ) of a. a. n = 3, a = –216 b. n = 4, a = 81 SOLUTION b. Because n = 4 is even and a = 81.
Notes Over 8.4 Rewriting Logarithmic Equations Rewrite the equation in exponential form.
Jeopardy Growing Exponentially Welcome to the Function Fun with Functions Snoitcunf A special Function Let’s Change it Up
I can graph and apply logarithmic functions. Logarithmic functions are inverses of exponential functions. Review Let f(x) = 2x + 1. Sketch a graph. Does.
Warm Ups Term 3 Week 9. Warm Ups 3/2/15 1.Solve the equation: 4 < 4 x Solve √(3x + 13) + 3 = 2x.
Section 9.3 Logarithmic Functions  Graphs of Logarithmic Functions Log 2 x  Equivalent Equations  Solving Certain Logarithmic Equations 9.31.
5.2 Logarithmic Functions & Their Graphs Goals— Recognize and evaluate logarithmic functions with base a Graph Logarithmic functions Recognize, evaluate,
Notes Over 5.2 Rewriting Logarithmic Equations and Rewrite the equation in exponential form. are equivalent. Evaluate each logarithm.
5.4 Logarithmic Functions. Quiz What’s the domain of f(x) = log x?
The inverse function of an Exponential functions is a log function. The inverse function of an Exponential functions is a log function. Domain: Range:
Logarithmic Functions
Properties of Logarithms Change of Base Formula:.
Graphing Log Functions Pre-Calculus. Graphing Logarithms Objectives:  Make connections between log functions and exponential functions  Construct a.
Unit 1: Functions Review Determining if a relation is a function or not a function (NOT a function if it fails the vertical line test; NOT a function if.
February 13, 2012 At the end of today, you will be able to graph a logarithmic function. Warm-up: Describe the transformation for: f(x) = -3 x.
Warm Ups:  Describe (in words) the transformation(s), sketch the graph and give the domain and range:  1) g(x) = e x ) y = -(½) x - 3.
Warm Up Term 3 Week 4. Warm Up 1/25/ Multiply. Assume all x-values are defined.
Example 1 LOGARITHMIC FORM EXPONENTIAL FORM a. log2 16 = 4 24 = 16 b.
LEQ: How do you evaluate logarithms with a base b? Logarithms to Bases Other Than 10 Sec. 9-7.
Warm Ups Term 4 Week 5. Warm Ups 4/13/15 1.Solve the equation: log x = Find the inverse of the function: f(x) = 2 – x 3.
Graphing $ 100 $ 300 $ 200 $ 400 $ 500 $ 100 $ 300 $ 200 $ 400 $ 500 $ 100 $ 300 $ 200 $ 400 $ 500 $ 100 $ 300 $ 200 $ 400 $ 500 $ 100 $300 $ 200 $ 400.
LOGARITHMS. Find the inverse function for each of the functions below. 1.f(x) = 3x – f(x) = 2 x.
LEQ: What is the process used to evaluate expressions containing the natural logarithm?
Warm Up Evaluate the following. 1. f(x) = 2 x when x = f(x) = log x when x = f(x) = 3.78 x when x = f(x) = ln x when x =
5.2 L OGARITHMIC F UNCTIONS & T HEIR G RAPHS Goals— Recognize and evaluate logarithmic functions with base a Graph Logarithmic functions Recognize, evaluate,
Slide the Eraser Exponential and Logarithmic Functions.
Logarithmic Functions & Their Graphs Goals— Recognize and evaluate logarithmic functions with base a Graph Logarithmic functions Recognize, evaluate, and.
Warmup 3-24 Simplify. Show work! Solve for x. Show work! 4. 5.
5.2 Logarithmic Functions & Their Graphs
Logarithmic Functions
Warm Ups Term 3 Week 9.
SWBAT… review for tomorrow’s test
1. Given the equation y = 650(1.075)x
5.3 Logarithmic Functions & Graphs
Solve the radical equation
Lesson 9 – 3 Logarithmic Functions
Basic Math Skills.
Warmup Let f(x) = x – 3 and g(x) = x2. What is (f ○ g)(1)?
5.4 Logarithmic Functions and Models
Combining Functions Section 1.7.
Logarithmic Functions and Their Graphs
A function is given by a formula. Determine whether it is one-to-one
Warm-up: Solve for x. 2x = 8 2) 4x = 1 3) ex = e 4) 10x = 0.1
Rational Functions, Transformations
Chapter 3 Section 6.
Final Review.
Chapter 3 Section 6.
To find the inverse of a function
6.3 Logarithms and Logarithmic Functions
To find the inverse of a function
EXPONENTIAL FUNCTION where (base) b > 0 and b For 0 < b < 1,
4 minutes Warm-Up Write each expression as a single logarithm. Then simplify, if possible. 1) log6 6 + log6 30 – log6 5 2) log6 5x + 3(log6 x – log6.
Warm-up Without a calculator, state all of the following: 1) y=-3(x + 4)2 - 5 a) Transformations b) Domain c) Range.
Warm Up Determine the domain of f(g(x)). f(x) = g(x) =
Review: How do you find the inverse of a function? Application of what you know… What is the inverse of f(x) = 3x? y = 3x x = 3y y = log3x f-1(x) = log3x.
Notes Over Using Radicals
Final Exam Review 30 Multiple Choice Questions (Equally Weighted)
Final Exam Review 30 Multiple Choice Questions (Equally Weighted)
Warm-up: Solve each equation for a. 1. 2a–b = 3c
Presentation transcript:

Warm Ups Term 4 Week 3

Warm Up 4/4/16 1.Graph f(x) = 3 x + 4. State the domain and range. Graph the inverse and state its domain and range. 2.Factor each: a. x 2 – x – 6 b. 4x 2 – 81 c. 3x x + 48

Warm Up 4/5/16 3. Find the inverse of f(x) = - 5x Factor to simplify: x 2 – 25 ÷ x 2 – 3x – 10 2x 2 + 5x - 12 x 2 + 9x + 20

Warm Up 4/6/16 5. A tank of water holds 220,000 gallons of water. It is leaking at a rate of 4% per month. Write an equation and use it to find how many months it will take for the tank to drop below 100,000 gallons. 6. Solve. Check your solution.

Warm Up 4/6/16 5. A tank of water holds 220,000 gallons of water. It is leaking at a rate of 4% per month. Write an equation and use it to find how many months it will take for the tank to drop below 100,000 gallons. What is the rate of change from 14 months to 17 months? 6. Solve. Check your solution.

Warm Up 4/7/16 7. Rewrite the logs and evaluate: a. log b. log 6 32 – log log 6 2 c. log log x x + 4 – x + 36 x 2 – 16 Add or subtract. Identify any x-values for which the expression is undefined.

Warm Up 4/8/16 9. Find the inverse of g(x) = x Identify the asymptotes of the function, graph it, and describe how it transformed: f(x) = x - 4