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1.3 Graphs of Functions

Jan 22, 2013

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Example 1: Use the graph. Find the domain of f(x)Find f(-1)f(2)Find the range of f(x)*When viewing a graph of a function, realize that solid or open dots on the end of a graph mean that the graph doesn't extend beyond those points. However, if the circles aren't shown on the graph it ma

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1.3 Graphs of Functions

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1.3 Exponential Functions

1.3 Exponential Functions. Exponential Function. Rules for Exponents. Half-life.

262 views • 10 slides

1.3 Linear Functions

1.3 Linear Functions. Quiz:. Write a linear function general form (or a linear function has the form of ): f(x)=_______ You can choose any letters to symbolize coefficients or constants. Linear Function.

2.27k views • 15 slides

1.3 EQUATION AND GRAPHS OF POLYNOMIAL FUNCTIONS

1.3 EQUATION AND GRAPHS OF POLYNOMIAL FUNCTIONS. OBJECTIVES:. ZEROS (roots) of polynomial functions. ORDER E.g ) f(x) = (x+2) (x-1) 2 If (x-a n ), then the zeros of orders, is 2 at x= -1 and a double root. Value of x such that f(x) = 0 y-intercept = x = 0 x-intercept = y = 0.

423 views • 24 slides

Analyzing Graphs of Functions

Analyzing Graphs of Functions. Georgia Performance Standard for Algebra Applying Domain and Range graphically and algebraically; using Symmetry to interpret graphs. GPS Algebra.

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1.3 Functions

1.3 Functions. Domain and Range Function notation Piecewise functions Interval Notation Difference quotient. Domain and Range. Domain is the Input (Independent variable) used in a function. Range is the Output (Dependent variable) given by the function.

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Graphs of Trig Functions

Graphs of Trig Functions. Unit #4, Day 7. H. O. H. O. A. A. http://www.teachnet-uk.org.uk/2005%20Projects/Maths-Trigonometry/trigonometric-equations/index.htm. 1. 360 °. 150 °. 90 °. 120 °. 180 °. 270 °. 30 °. 240 °. 60 °. 210 °. 300 °. 330 °. -1.

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Graphs of Trigonometric Functions

Graphs of Trigonometric Functions. x. 0. cos x. 1. 0. -1. 0. 1. y = cos x. y. x. Graph of the Cosine Function. Cosine Function. To sketch the graph of y = cos x first locate the key points. These are the maximum points, the minimum points, and the intercepts.

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3.2 Graphs of Functions

Question?. Functions Defined by Graphs. What is the purpose of some graphs?. The purpose for some graphs is to define functions: If the point ( x,y ) is on the graph of f , then y is the output produced by the input x (y = f(x)). 3.2 Graphs of Functions.

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Section 1.3 Functions

Section 1.3 Functions. What you should learn. How to determine whether relations between two variables are functions How to use function notation and evaluate two functions How to find the domains of functions How to use functions to model and solve real-life problems. Relation.

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1.3 Functions

1.3 Functions. HW Pg. 42 #1 – 45 odd Quiz Thursday Determine the domain and range. 1.3 Functions. Absolute Value Function. Piece-wise Functions. How does the equation change from a basic absolute value? Write it as a Piece-wise Function.

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1.3 Exponential Functions

1.3 Exponential Functions. Acadia National Park, Maine. Although some of today’s lecture is from the book, some of it is not. You must take notes to be successful in calculus. The pictures in the lectures will usually illustrate the older TI-89.

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Section 1.3 Functions

Section 1.3 Functions. Objective: To evaluate functions and find their domains To evaluate difference quotients. p. 141 #1, 5, 6, 15, 18, 31, 34, 37. Assignment. Function = set of ordered pairs A mapping from one set to another. y. x. (-2, 4) (2, 4) (1, 1) (-1, 1) (0, 0). 4 4 1

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Graphs of Functions

Graphs of Functions. Mr. Sharpless’s 11 th Grade Mathematics Class. Click to continue. Linear. Polynomial. Absolute Value. Quadratic. Square root. Rational. Greatest Integer. Sinusoids. Click for quiz. Linear. Graphs a line The general form is: F(x)= mx+b

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Graphs of Trigonometric Functions

Graphs of Trigonometric Functions. Graphs of Trigonometric Functions. This chapter focuses on using graphs of sin θ , cos θ and tan θ We will be seeing how to work out values of these from the graphs We are also going to look at transformations of these graphs.

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Graphs of Rational Functions

Graphs of Rational Functions. MA3A1. Students will explore rational functions.

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1.3- Functions and their Graphs

1.3- Functions and their Graphs. 5. 4. 3. 2. 1. -5. -4. -3. -2. -1. 1. 2. 3. 4. 5. -1. -2. -3. -4. -5. Use the graph of the function f to answer the following questions: What are the function values f (-1) and f (1)? What is the domain of f ( x )?

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Graphs of Functions

Graphs of Functions. Lesson 3. Warm Up – Perform the Operations and Simplify. Solution. Solution. Solution. Solution. Domain &amp; Range of a Function. What is the domain of the graph of the function f?. Domain &amp; Range of a Function. What is the range of the graph of the function f?.

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Graphs of Exponential Functions

Graphs of Exponential Functions. Choose and interpret the scale of a graph to appropriately represent an exponential function. Learning Goal 2 (HS.N-Q.A.1, 2, 3): The student will be able to use units to solve multi-step contextual problems.

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1.3 Graphs of Functions

1.3 Graphs of Functions. Students will find the domain and range of functions and use the vertical line test for functions. Students will determine intervals on which functions are increasing, decreasing, or constant.

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1.3 Exponential Functions

Photo by Vickie Kelly, 2004. Greg Kelly, Hanford High School, Richland, Washington. 1.3 Exponential Functions. Yosemite National Park, CA. Although some of today’s lecture is from the book, some of it is not. You must take notes to be successful in calculus.

257 views • 23 slides

1.3 Exponential Functions

Photo by Vickie Kelly, 2008. Greg Kelly, Hanford High School, Richland, Washington. 1.3 Exponential Functions. Acadia National Park, Maine. Although some of today’s lecture is from the book, some of it is not. You must take notes to be successful in calculus.

266 views • 23 slides

1.3 Graphs of Functions

1.3 Graphs of Functions. Pre-Calculus. Home on the Range. What kind of &quot;range&quot; are we talking about? What does it have to do with &quot;domain?&quot; Are domain and range really &quot;good fun for the whole family?&quot;. Definitions.

402 views • 35 slides

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