Graphing Radical Functions ALGEBRA 2 LESSON 7-8 7-8 Algebra 2 Lesson 7-8 (Page 408)

Slides:

Advertisements

Similar presentations

Write equation or Describe Transformation. Write the effect on the graph of the parent function down 1 unit1 2 3 Stretch by a factor of 2 right 1 unit.

Advertisements

Graphing Square root and Cube root functions

LIAL HORNSBY SCHNEIDER

7.5 Graphing Square Root & Cube Root Functions p. 431.

New Functions From Old Functions. 2 Translation: f (x) + k y2y2 Direction of Translation Units Translated Value of k x 2 – 4 x 2 – 2 x x.

Chapter 5: Exponential and. Logarithmic Functions 5

Unit 3: Algebra: Rational Exponents and Square Root Functions

6.5 - Graphing Square Root and Cube Root

HW: Pg #15-47o. Quiz 2 Pg. 429 #1-16.

Algebra 2 Section 2.6 Day 1. Example #1: y = -|x+2|-4 Vertex: Domain: Range: * What shift do you see in this graph from the parent graph?

Graph Square Root Functions

DOMAIN AND RANGE Goal: I can relate the domain of a function to its graph and where applicable, to the quantitative relationship it describes. (F-IF.5)

Graph 8 a. Graph b. Domain _________ c. Range __________

nth Roots and Rational Exponents

Radical Functions and Rational Exponents

1.8 QUADRATIC FUNCTIONS A function f defined by a quadratic equation of the form y = ax 2 + bx + c or f(x) = ax 2 + bx + c where c  0, is a quadratic.

Copyright © 2011 Pearson Education, Inc. Slide Vertical Translations of Graphs Vertical Shifting of the Graph of a Function If the graph of is.

Do Now: Write the recursive formula for the following problems or write the pattern. 1.a 1 = -3, a n = a n a 1 = -2, a n = 2a n , 64, 16,

Radical Functions 8-7 Warm Up Lesson Presentation Lesson Quiz

Warm Up Identify the domain and range of each function.

Chapter 6 Radical Functions and Rational Exponents.

7.5 Graphs Radical Functions

Lesson 10-5 Warm-Up.

Section 6.5 Graph Square Root and Cube Root Functions.

6.8 G RAPHING R ADICAL F UNCTIONS Algebra II w/ trig.

Check it out! : Comparing Linear Functions.

Lesson 6.5, For use with pages

5.2 Relations and Functions A relation is a set of ordered pairs. The domain of a relation is the set of first coordinates of the ordered pairs – the x-

7.5 – Graphing Square Roots and Cube Roots

1. 3x + 2 = ½ x – 5 2. |3x + 2| > x – 5 < -3x |x + 2| < 15 Algebra II 1.

ALGEBRA 2 HONORS 6.5 Graph Square Root & Cube Root Functions.

Evaluating Functions Domain and Range

Math – Graphs of Functions 1. Graph of a function: the graph of all the function’s ordered pairs 2.

1 8.7 Trigonometric Equations (I) In this section, we will study the following topics: o Solving equations involving a single trig function algebraically.

Example 3: Finding Values Using Graphs

1) Identify the domain and range InputOutput ) Graph y = -2x Domain = -1, 2, 5 & 6 Range = -2 & 3.

1. 3x + 2 = ½ x – 5 2. |3x + 2| > x – 5 < -3x |x + 2| < 15 Algebra II 1.

10-3C Graphs of Radical Equations If you do not have a calculator, please get one from the back wall! The Chapter 10 test is a NON calculator test! Algebra.

Lesson 1.6 Inverse Functions. Inverse Function, f -1 (x): Domain consists of the range of the original function Range consists of the domain of the original.

Radical Functions Essential Questions

Algebra 2 Notes April 23, ) 2.) 4.) 5.) 13.) domain: all real #s 14.) domain: all real #s 16.) domain: all real #s 17.) domain: all real #s 22.)

1.1B Horizontal and Vertical Translations

Warm Up Identify the domain and range of each function.

Holt Algebra Graphing Functions Solve the inequality and graph the solutions b > 61 8 – 3y ≥ 29.

Holt McDougal Algebra 2 Solving Radical Equations and Inequalities Solving Radical Equations and Inequalities Holt Algebra 2Holt McDougal Algebra 2 How.

End Behavior Figuring out what y-value the graph is going towards as x gets bigger and as x gets smaller.

Topic VIII: Radical Functions and Equations 8.2 Graphing Radical Functions.

1.A Function and a Point 2.Equation of a line between 2 points 3.A point on the graph of a function 4.Information from a function’s graph 5.Symbols on.

Chapter 8.1 vocabulary Relation Is a pairing of numbers or a set of ordered pair {(2,1) (3,5) (6, 3)} Domain: first set of numbers Range: Second set of.

7-8 Graphing Square root and other radical functions

Write your estimate in your warm-up section.

Do Now: Can you input all real numbers into the x variable in the following functions? If not what numbers can x not take on?

Roots and Radical Expressions

The Natural Base, e Essential Questions

Graphing Square Root Functions

Domain and range: all real numbers

Chapter 11 review – radical equations

Radical Functions and Rational Exponents

SQUARE ROOT Functions Radical functions

Graphing Radical Functions.

Section 10.1 Day 1 Square Root Functions

Chapter 2: Analysis of Graphs of Functions

Horizontal and Vertical Translations

10.5 Graphing Square Root Functions

Domain & Range Algebra 1, Unit 3, Lesson 3.

Presentation transcript:

Graphing Radical Functions ALGEBRA 2 LESSON Algebra 2 Lesson 7-8 (Page 408)

The graph of y = x + 5 is the graph of y = x shifted up 5 units. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 The domains of both functions are the set of nonnegative numbers, but their ranges differ. Graph y = x + 5 and y = x – The graph y = x – 7 is the graph of y = x shifted down 7 units.

The graph of y = x + 7 is the graph of y = x shifted left 7 units. The graph y = x – 5 is the graph of y = x shifted right 5 units. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Graph y = x + 7 and y = x – 5. The ranges of both functions are the set of nonnegative numbers, but their domains differ. 7-8

Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Graph y = – x, y = –2 x, and y = –1.5 x Each y-value of y = –2 x is times the corresponding y-value of y = –1.5 x. The domains of the three functions are the set of nonnegative numbers, and the ranges are the set of negative numbers. 7-8

y = 3 x – (–2) + (–1), so translate the graph of y = 3 x left 2 units and down 1 unit. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Graph y = 3 x + 2 –

Graph the model with a graphing calculator. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 The function h(x) = 0.5 x models the height h in meters of one group of male giraffes with a body mass of x kilograms. 3 Use the graph to estimate the body mass of a young male giraffe with a height of 3 meters. The giraffe has a mass of about 216 kg. 3 Graph y = 0.5 x and y = 3. Adjust the window so the graphs intersect. Use the Intersect feature to find that x 216 when y =

3 3 The graph of y = 2 x + 2 – 2 is the graph of y = 2 x translated 2 units left and 2 units down. Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Graph y = 2 x + 2 –

Graphing Radical Functions ALGEBRA 2 LESSON 7-8 Rewrite y = 9x + 18 to make it easy to graph using a translation. Describe the graph. y = 9x + 18 = 3 x + 2 = 3 x – (–2) The graph of y = 9x + 18 is the graph of y = 3 x translated 2 units left. = 9(x + 2) 7-8