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Published byMercedes Verdon
Modified over 4 years ago
Warm-Up Explain how you made each match (Without a calculator!)
Section P.1: Graphs and Models p.3 - 10
4 Approaches to Mathematics: 1. Verbal – Explain in words 2. Numerical – Table of values 3. Graphical – Using graphs 4. Analytical – Manipulating symbols and equations
Sketch a graph of f(x) = 1 – x 2 Method 1: Make a table and plot points.
Sketch a graph of f(x) = 1 – x 2 Method 2: Using a graphing calculator.
Why not just always use a graphing calculator? Give the number of zeros of f(x) = sin(ln x)
Why not always just use a graphing calculator? Graph y =
Finding x and y-intercepts: x 2 y – x 2 + 4y = 0
Finding x and y-intercepts: y =
Symmetry: X-axis: Y-axis: Origin:
Check for symmetry: y = (x + 2) 2
Why does symmetry help? x – y 2 = 2
Find Points of Intersection and check: x 2 + y = 5 x – y = 1
Warm-up Make a T-Table and graph the equation y = 2x + 2 x y
Today’s Objective To be able to find the x and y intercepts of an equation and use them to draw a quick graph.
WARM UP 1. Explain how to graph a linear equation written in slope-intercept form. 2. Explain how to graph a linear equation written in point-slope form.
Polynomial Inequalities in One Variable
P.1 Graphs and Models I’m so to be in Calculus!!!.
Finding a Quadratic Equation with the x-intercepts and Another Point.
Objectives Find the zeros of a quadratic function from its graph.
X and Y Intercepts.
Warm Up… Solve each equation for y.
Graph: x + y = 5 1. Solve for y. 2. Make an X|Y chart. 3. Graph.
Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.
Unit 6 Lesson #1 Intercepts and Symmetry
Solving Equations by Graphing - Y2=0 Method Move all terms to the left hand side of the equation, so that zero is on the right hand side. Example Solve.
MM2A3c Investigate and explain characteristics of quadratic function, including domain, range, vertex, axis of symmetry, zeros, intercepts, extrema, intervals.
Digital Lesson on Graphs of Equations. Copyright © by Houghton Mifflin Company, Inc. All rights reserved. 2 The graph of an equation in two variables.
Graphs of Functions It essential in any higher mathematics to understand the basic shapes of all functions. This section will look at the five most widely.
Warm Up 0?1? 2? Graph the linear functions.0?1? 2?
Graphs & Models (P1) September 5th, I. The Graph of an Equation Ex. 1: Sketch the graph of y = (x - 1)
Quadratic Graph Drawing.
4.2: Graphs of Quadratic Functions in Vertex or Intercept Form
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