Function Notation. Function Notation What is function notation? Function notation is another way to write “y=“ The notation looks like this: f(x) f(x)

Slides:

Advertisements

Similar presentations

Composition of Functions

Advertisements

Time (h), x 0123 Distance (m) y Time studying (h), x 0123 grade (%) y

Lesson 5.2 (PART 2) FUNCTION NOTATION.

5-1 Transforming Quadratics in Function Notation and Converting to Standard Form.

Are you ready for your math test? Find Out 2 3 Previous.

What is the domain of the following relation? (use correct notation) { (1, 3), (4, 5.5), (6, 9), (10, 0) }

Advanced Algebraic Fractions. Addition Simplify Addition.

Operations on Functions Lesson 3.5. Sums and Differences of Functions If f(x) = 3x + 7 and g(x) = x 2 – 5 then, h(x) = f(x) + g(x) = 3x (x 2 – 5)

1 Solve each: 1. 5x – 7 > 8x |x – 5| < 2 3. x 2 – 9 > 0 :

Warm ups 1. The relation defined by the set of ordered pairs below is not a function. Which pair could be removed to obtain a function?? {(-5,1) (2,3)

Lesson 2-8: Operations of Functions

 A rational function is one that can be expressed as a ratio of two polynomials.  Some examples: y =, f(x) =, g(x) =, h(x) =  Here are some.

Ch 9 – Properties and Attributes of Functions 9.4 – Operations with Functions.

Aim: What is the composition of functions? Do Now: Given: Express z in terms of x HW: Work sheet.

Function Notation Find function values using f(x) notation or graphs.

Function Notation Assignment. 1.Given f(x) = 6x+2, what is f(3)? Write down the following problem and use your calculator in order to answer the question.

3.7.  Equations that represent functions are often written in function notation.  f(x) is used in place of y in function notation.  y = mx + b becomes.

Inverse functions: if f is one-to-one function with domain X and range Y and g is function with domain Y and range X then g is the inverse function of.

Warm Up Simplify the expressions: 1.z -2 x y -2 2.(x 3 ) -2 3.g -5 h x b 4.

Change to scientific notation: A. B. C. 289,800, x x x

7.3: Addition and Subtraction of Rational Expressions

State the domain, range and tell whether or not it is a function.

11.4 The Chain Rule.

Warm Up Find the sum of the arithmetic sequence , 3, 11… n = , 6, 9, …, Determine the seating capacity of an auditorium with 40 rows.

Functions, operations, domain

Function Rules EQ: How do you write algebraic expressions? I will write algebraic expressions.

Warm Up Evaluate. 1. –24 2. (–24) Simplify each expression.

Calculus section 1.1 – 1.4 Review algebraic concepts

Suppose that you have a two-variable relationship…

Composition of Functions 1.

Function Notation A function is a ‘job’.

Answers (1,2,6,4) (1,3). Answers (1,2,6,4) (1,3)

Function notation & evaluating functions

Function Notation “f of x” Input = x Output = f(x) = y.

Combinations of Functions:

FUNCTION NOTATION AND EVALUATING FUNCTIONS

Function notation.

3-2 Representing Functions

Function Notation and Evaluating Functions

Chapter 3 Section 6.

Lesson 3.3 Function Notation

Composition OF Functions.

To find the inverse of a function

Composition OF Functions.

1.2 Analyzing Graphs of Functions and Relations

Composition of Functions

Exponential Functions

FUNCTIONS notation.

To find the inverse of a function

FUNCTION NOTATION.

Functions and Relations

Learn to combine like terms in an expression.

Exponents is repeated multiplication!!!

Functions MATHPOWERTM 11, WESTERN EDITION

Function Composition.

Introduction to Functions

1. Evaluating Expressions and Functions

Relations/Sequences Objective: Students will learn how to identify if a relation is a function. They will also be able to create a variable expression.

Function Notation. Function Notation What is function notation? Function notation is another way to write “y=“ The notation looks like this: f(x) f(x)

Tell whether the relation below is a function.

Use Inverse Functions Notes 6.4.

Use Inverse Functions Notes 7.5 (Day 2).

Replace inside with “x” of other function

UNDERSTANDING FUNCTIONS

Bellringer (5 minutes) For the graph given below, identify the domain, range, x- intercepts and y-intercepts if they exist:

Function Notation. Function Notation What is function notation? Function notation is another way to write “y=“ The notation looks like this: f(x) f(x)

Simplifying Expressions

Do Now: Given: Express z in terms of x HW: p.159 # 4,6,8,

Composition of Functions

Presentation transcript:

Function Notation

What is function notation? Function notation is another way to write “y=“ The notation looks like this: f(x) f(x) is read “f of x” f(x) = y

Solving Problems with Function Notation f(x) = 2x + 5, find f(5) f(5) = 2(5) + 5 Plug in 5 in place of x f(5) = 10 + 5 Simplify f(5) = 15 Simplify This also means that when x = 5, y = 15 (5,15)

This also means that when x = -2, y = 11 Try this problem f(x) = -3x + 5, find f(-2) f( -2 ) = -3( -2 ) + 5 f( -2 ) = 6 + 5 f( -2 ) = 11 This also means that when x = -2, y = 11 (-2, 11)

Other forms of Function Notation Function notation is also expressed as: g(x), h(x), or s(t) They are all used in place of “y=“ and you may see them in other places!

Two Functions at One Time f(x) = 6x + 3 g(x) = 2x – 4 Find the following: f(4) 2. g(-1) 3. g(3) 4. f(0) Click here to: See this problem worked Click here to: See this problem worked Click here to: See this problem worked Click here to: See this problem worked