Algebraic and Graphical Evaluation

Slides:

Advertisements

Similar presentations

Domain: 1) f(0) = 8 2) f(3) = 3) g(-2) = -2 4) g(2) = 0 5) f(g(0)) = f(2) =0 6) f(g(-2)) = f(-2) =undefined 7) f(g(2)) = f(0) =8 8) f(g(-1)) = f(1) =3.

Advertisements

A Dash of Limits. Objectives Students will be able to Calculate a limit using a table and a calculator Calculate a limit requiring algebraic manipulation.

Lesson 5.2 (PART 2) FUNCTION NOTATION.

y=3x Find y if x=3 2. Find y if x= -2

Solving Linear Equations and Inequalities Solving algebraically Solving graphically Solving equations in more than one variable Solving linear inequalities.

Thinking Mathematically Algebra: Graphs, Functions and Linear Systems 7.3 Systems of Linear Equations In Two Variables.

The student will be able to:

Lesson 15-1 Limits Objective: To calculate limits of polynomials and rational functions algebraically To evaluate limits of functions using a calculator.

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

Bellwork: Graph each line: 1. 3x – y = 6 2. Y = -1/2 x + 3 Y = -2

Jeopardy Growing Exponentially Welcome to the Function Fun with Functions Snoitcunf A special Function Let’s Change it Up

PRECALCULUS Inverse Relations and Functions. If two relations or functions are inverses, one relation contains the point (x, y) and the other relation.

Piecewise Functions Lesson Talking Points Included

Objective The student will be able to: solve systems of equations using substitution. SOL: A.9.

5.1 Composite Functions Goals 1.Form f(g(x)) = (f  g) (x) 2.Show that 2 Composites are Equal.

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

Holt Algebra Solving Quadratic Equations by Graphing and Factoring A trinomial (an expression with 3 terms) in standard form (ax 2 +bx + c) can be.

Example 1A Solve the equation. Check your answer. (x – 7)(x + 2) = 0

September 27, 2012 Inverse of Functions Warm-up: f(x) = x 2 – 1 and Find the following compositions, then state the domain 1. (f o g)(x)2. (g o f)(x) CW.

9.1: Solving Equations Graphically in One Variable January 6, 2009.

Systems of Equations A group of two or more equations is called a system. When asked to SOLVE a system of equations, the goal is to find a single ordered.

Warm Ups! Find f(g(x)) and g(f(x)) for each of the following: 1.F(x)= 2x +1, g(x) = (x-1)/2 2.F(x) = ½ x + 3, g(x) = 2x-6.

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

Inequalities of Combined Functions Example 1 TECHNIQUES FOR ILLUSTRATING INEQUALITIES.

Solving Systems of Equations

Solving Systems of Inequalities n You will simply be graphing two inequalities on the same graph. n The solution will be a section of the graph, not a.

Notes Over 3.1 Solving a System Graphically Graph the linear system and estimate the solution. Then check the solution algebraically.

Algebra 1 EOC Summer School Lesson 13: Solve Quadratic Equations.

CHAPTER TWO: LINEAR EQUATIONS AND FUNCTIONS ALGEBRA TWO Section Piecewise Functions.

Mod 2.3: Solving Absolute Value Inequalities

Combinations of Functions

10.8 Systems of Second-Degree Equations and Inequalities

the intended height of a function

HW: Worksheet Aim: What are the higher degree function and equation?

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

HW: Worksheet Aim: What are the higher degree function and equation?

Calculus section 1.1 – 1.4 Review algebraic concepts

Notes Over 4.7 Solving an Equation Graphically

Composition of Functions

Points of Intersection

Evaluating Piecewise and Step Functions

Evaluating Piecewise Functions

Function notation & evaluating functions

Evaluating Functions.

1.3 Find a Limit Algebraically

3.2a – Solving Systems algebraically

Combinations of Functions

Maintenance Sheet 18 Due Tomorrow

Function Notation and Evaluating Functions

You can find the roots of some quadratic equations by factoring and applying the Zero Product Property. Functions have zeros or x-intercepts. Equations.

Factoring Using Special Patterns General Algebra II

Solving Equations f(x) = g(x)

Finding the Total Area y= 2x +1 y= x Area = Area =

Sec. 2.7 Inverse Functions.

Inverse Functions Inverse Functions.

Solving Linear Equations by Graphing

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)

x f(x) 11/12/18 Bell Work Write and answer the following questions.

FUNCTION NOTATION.

Finding the Total Area y= 2x +1 y= x Area = Area =

Algebra 1 Section 12.9.

Sec. 2.2 Functions.

Warm UP: Factor Completely: 1)16n3 + 32n2 – n – 2 2) y4 – 3y2 – 28

Functions MATHPOWERTM 11, WESTERN EDITION

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)

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)

Evaluating Functions and Operations on Functions

The student will be able to:

FUNCTIONS & THEIR GRAPHS

Warm up Find f(-3). -8 Find g(0).

Presentation transcript:

Algebraic and Graphical Evaluation Evaluating Functions Algebraic and Graphical Evaluation

Evaluating Algebraically Plug the given “x” value in place of EACH “x” in the function For example if f(x) = x2 + 4x + 9 and asked for f(3) f(x) = x2 + 4x + 9 f(3) = (3)2 + 4(3) + 9 f(3) = 9 + 12 + 9 f(3) = 30

Special Cases Evaluating variables. Example g(x) = x2 + 3x – 5 Find g(x + 2) Being asked what x value is equal to a certain y value Example f(x) = 3x – 7 If f(x) = 6, solve for x

Evaluating Graphically Given a certain x value, find the y value (height) at that particular point. Example: Given graph for f(x), find f(1). Find f(0) Special Cases: Given a y value, find the correct x value or values Example f(x) = 2 Double values: Find f(f.5)