Upload File

warm up a)find the y-intercept, the axis, and the vertex b)make a table c)graph the function d)state...

  • Home
  • Documents
  • Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find
17
Warm Up Consider a) Find the y-intercept, the axis, and the vertex b) Make a table c) Graph the function d) State whether the function has a minimum or maximum e) Find the value of the min/max

Upload: brook-smith

Post on 30-Dec-2015

217 views

Category:

Documents


0 download

Report

Tags:

TRANSCRIPT

Page 1: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

Warm UpConsider

a) Find the y-intercept, the axis, and the vertex

b) Make a table

c) Graph the functiond) State whether the

function has a minimum or maximum

e) Find the value of the min/max

Page 2: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

Summary PageThis is an overview of all the different ways we can solve a quadratic function.

You are required to keep this page.

Page 3: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

Pop QuizzesYou will have 5 pop quizzes this chapter.

At the end of the chapter I will average all five of your pop quiz grades for a test grade.

You will keep track of your pop quiz grades on the back of the summary page.

Page 4: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

4.2 Solving by Graphing

Today we are learning how to solve a quadratic.

REVIEW: A general quadratic function is…

𝑎𝑥2+𝑏𝑥+𝑐

Page 5: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

Solving by GraphingThe solutions of a quadratic are where the parabola crosses the x-axis.

How many solutions do you see?

Do you think it is possible to have a number of solutions other than 2?

Page 6: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

SolutionsThere are multiple names for solutions, but they all mean the same thing…

Page 7: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

Quadratic EquationGraphing form:

Solving form:

Page 8: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

ExampleSolve each of the following functions by graphing. Graph the parabola.

Page 9: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

ExampleSolve each of the following functions by graphing. Graph the parabola.

Page 10: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

ExampleSolve each of the following functions by graphing. Graph the parabola.

Page 11: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

Try One!Solve each of the following functions by graphing. Graph the parabola.

Page 12: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

Estimating RootsOften exact roots (whole numbers) cannot be found by graphing.

You will instead estimate the root(s) by stating which two X values the zero is between.

Page 13: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

ExampleSolve each of the following functions by graphing. Graph the parabola.

Page 14: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

Try One!Solve each of the following functions by graphing. Graph the parabola.

Page 15: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

Big Picture𝒇 (𝒙 )=𝒙𝟐−𝟔 𝒙+𝟗

a) Find the y-intercept, the axis, and the vertexb) Make a tablec) Graph the function

d) State whether the function has a minimum or maximum

e) Find the value of the min/max

f) Find the roots

Page 16: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

You Try!

a) Find the y-intercept, the axis, and the vertexb) Make a tablec) Graph the function

d) State whether the function has a minimum or maximum

e) Find the value of the min/max

f) Find the roots

𝒇 (𝒙 )=𝒙𝟐−𝟔 𝒙+𝟏𝟐

Page 17: Warm Up a)Find the y-intercept, the axis, and the vertex b)Make a table c)Graph the function d)State whether the function has a minimum or maximum e)Find

HOMEWORK

Lesson 4.2Pg. 233 #’s 4-11


Section 9.1 – Inverse Functions. DOES an inverse function exist? IF YES, you can find the inverse function

Warm Up Find a polynomial function with integer coefficient that has the given zero. Find the domain of:

MATHEMATICS · • apply straight forward application of ... find the x and y intercepts of graphs find the equation of a function with 1 ... Find the equation of a line

5.1 Increasing\decreasing Functions Find critical values of a function Find increasing/decreasing intervals of a function

Warm up Problem If, find.. The Derivative Function Def. For any function f (x), we can find the derivative function f (x) by:

Warm Up # 1 # 3 # 2 Find the vertex of the function. # 4 Find the coordinates of point A Find the coordinates of point B Find the coordinates of point

3.7 Find the time function corresponding to each of the

FOR A RATIONAL FUNCTION, FIND THE DOMAIN AND GRAPH THE FUNCTION, IDENTIFYING ALL OF THE ASYMPTOTES. SOLVE APPLIED PROBLEMS INVOLVING RATIONAL FUNCTIONS

2.Find the turning point of the function given in question 1

Section 3.2 - Functions Evaluate a Function Identify a Function Given By An Equation Find the Domain of a Function Graph of a Function Vertical Line Test

Graph each function. Find the y-intercept and state the ... · PDF fileGraph each function. Find the y-intercept and state the ... data shown below displays exponential ... y-intercept

Inverse Functions Objectives Find the inverse of a function Use the horizontal line test to determine if the function has an inverse function

Given the domain, find the range of the function. y = 3x

How do you find the rule for a function machine?

Chapter 14, Problem 1. Find the transfer function Vo /Vi of the RC

3.5 Domain of a Rational Function Thurs Oct 2 Do Now Find the domain of each function 1) 2)

How do you find the input numbers for a function machine?

Find the derivative of the function f(x) = x 2 – 2x

GASBARRE PRESS GROUP SPARE PARTS Please use the find function (ctrl…d284f45nftegze.cloudfront.net/gasbarreproducts/GPG SPARES... · 2016-01-05 · Please use the find function (ctrl+f)

Warm Up Find the inverse of f(x) and determine if the inverse is a function. EQ: How do I find the inverse of a function algebraically and graphically?

Notes Over 2.3 The Graph of a Function Finding the Domain and Range of a Function. 1.Use the graph of the function f to find the domain of f. 2.Find the

DRIVER TRAINING SIMULATORS  · Web viewUsing the FIND function in Word,

INTEGRATION OF RATIONAL FUNCTIONS BY PARTIAL FRACTIONS Example Find Example Find Example Find Example Find Example Find Rational function:

Properties of Rational Functions 1. Learning Objectives 2 1. Find the domain of a rational function 2. Find the vertical asymptotes of a rational function

Summer Packet for students enterting PreCalculus ...€¦ · of the function and the intervals on which the function is increasing or decreasing . 26) 26) Find the range of the function

SWBAT: Find the Inverse of a Function...Inverse Function The inverse of a function is found by switching the x and y values. Example. Function f: Function 6), (2, 7), (3, 8)} This

Graphs. What can we find out from the function itself? Take the function To find the roots

Algebra 2 Section 2.8. Graph the piecewise function. Find the domain and range

Objectiveslehimath.weebly.com/.../2b.4_inverse_functions.pdf · •Objectives: –Find the inverse of a function . Inverse Operations ... Rewrite using function notation -z- 2 or

Warm-up Given the function: Find the inverse function and complete the table below. Given the function: Find the inverse function and complete the table

1. Write a C++ program to find the largest of three ... · Write a C++ program to find the largest of three numbers using inline function. ... - member function display( ) ... cout

7.6 The Inverse Trigonometric Function Objective To find values of the inverse trigonometric functions

Objectives 1. To determine if a relation is a function. 2. To find the value of a function

Warm up If sin θ= and find the exact value of each function. 1.cos 2θ 2.sin 2θ 3.Use the half-angle identity to find the exact value of the function: cos

Is the shape below a function? Explain. Find the domain and range