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Warm-Up Explain how you made each match (Without a calculator!)
Section P.1: Graphs and Models p
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
P.1 Graphs and Models I’m so to be in Calculus!!!.
Warm-up y = 2x + 2 Make a T-Table and graph the equation xy
Section P.1 – Graphs and Models. How to Graph xy Make a table to graph y = x Use your knowledge of relations and functions.
Polynomial Inequalities in One Variable Let P(x) be any polynomial. Then P(x) 0 are called polynomial inequalities. To solve polynomial inequalities: Use.
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.
1 To find the x-intercepts of y = f (x), set y = 0 and solve for x. INTERCEPTS AND ZEROS To find the y-intercepts of y = f (x), set x = 0; the y-intercept.
Unit 6 Notes Day 1 EQ: How do I find the x- and y-intercepts of linear equations?
5.2 Properties of Parabolas 1.Graphing Parabolas 2.Finding Maximum and Minimum Values.
Graph: x + y = 5 1. Solve for y. 2. Make an X|Y chart. 3. Graph.
Warm Up Find the slope of the line that passes through each pair of points 1.(3, 6) and (–1, 4) 2. (1, 2) and (6, 1) Course Using Slopes and Intercepts.
Warm Up 1)Sketch the graph of y = ln x a)What is the domain and range? b)Determine the concavity of the graph. c)Determine the intervals where the graph.
Section 4.2 Graphing Linear Equations Using Tables Wednesday 11/13/13 Class Notes.
Graphs & Linear Equations Y X. A Point Y X (X,Y) is called an Ordered Pair The X value or X Coordinate is the location of a point in the X direction The.
Objectives: 1.To find the intercepts of a graph 2.To use symmetry as an aid to graphing 3.To write the equation of a circle and graph it 4.To write equations.
Warm up 1.Find the slope of the line passing through (-2,0) and (3,1) 2.Write the equation of a line that has a slope of 3 and passes through the point.
Ordered pairs are used to locate points in a coordinate plane. x-axis (horizontal axis) origin (0,0) y-axis (vertical axis)
Find the zeros of a quadratic function from its graph. Find the axis of symmetry and the vertex of a parabola. Objectives.
Finding x- and y-intercepts algebraically. y-intercepts For every point along the y-axis, the value of x will be zero (x=0) We can use this fact to find.
Y – Intercept of a Line The y – intercept of a line is the point where the line intersects or “cuts through” the y – axis.
Preparation for Calculus P. Graphs and Models P.1.
Coordinate Geometry Regions on the Number Plane. By Mr Porter X-axis Y-axis
Notes: Graphing Quadratic Functions and solving quadratic linear systems algebraically Aim: Students will be able to solve quadratic linear systems graphically.
Sketching a Parabola if the x- Intercepts Exist. What do you Need to Sketch a Parabola? Can you sketch a parabola if you only know where its y- intercept.
Copyright © 2013, 2009, 2005 Pearson Education, Inc. Section 3.3 Linear Inequalities.
Todays Objective To be able to find the x and y intercepts of an equation and use them to draw a quick graph.
Graphing Linear Equations By: Christine Berg Edited By: VTHamilton.
Graphing Calculator –What are the vertex, the axis of symmetry, the maximum or minimum value, and the range of y = 2x² + 8x – 2?
Holt CA Course Finding Slope of a Line Warm Up Warm Up California Standards California Standards Lesson Presentation Lesson PresentationPreview.
Y x Objective - To graph linear equations using the slope and y-intercept. x Complete the table and graph y-intercept b = -1 Slope-Intercept.
Warm Up No Calculator 2) A curve is described by the parametric equations x = t 2 + 2t, y = t 3 + t 2. An equation of the line tangent to the curve at.
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