Warmup Write in words what this function is doing to all inputs. Try to write the inverse of f(x) just in words. f(x) =

Slides:



Advertisements
Similar presentations
 indicates dotted/dashed line  < indicates below or to the left of the line  > indicates above or to the right of the line  If equals is part of.
Advertisements

3.7 Graphing Inequalities In Two Variables. Get y by itself Graph If ≤ or ≥: use solid line If : use dashed line If < or ≤: shade below the line If >
Area Between Two Curves 7.1. Area Formula If f and g are continuous functions on the interval [a, b], and if f(x) > g(x) for all x in [a, b], then the.
Absolute Value Inequalities
3.3 Linear Inequalities in Two Variables Objectives: Solve and graph a linear inequality in two variables. Use a linear inequality in two variables to.
12.2 Functions and Graphs F(X) = x+4 where the domain is {-2,-1,0,1,2,3}
Square Root Functions and Inequalities
Radical Functions 8-7 Warm Up Lesson Presentation Lesson Quiz
10/11/ :27 AM8-7: Square Root Graphs1 SQUARE ROOT Functions Radical functions.
AAT(H) 9.5 SYSTEMS OF INEQUALITIES. EX 1) GRAPH THE INEQUALITY Remember! use a dashed line for and a solid line for ≤ or ≥ Test one point in each region.
1) Graphing Linear Inequalities What linear inequality graphs look like… 1) boundary line (solid or dashed) 2) shaded area (above or below the boundary.
Linear Inequalities in Two Variables Objectives: Solve and graph a linear inequality in two variables..
Algebra 2 Graphing Linear Inequalities in Two Variables.
Algebra 2 Section 2.8. Graph the piecewise function. Find the domain and range.
Absolute Value Make it positive Properties: Commutative Associative Identity.
7-9: Square Root Functions and Inequalities. What You Will Learn  Graph and analyze square root functions.  Graph square root inequalities.
8-8: Exploring Inequalities Foundations for Algebra Mr. Gallo.
2.8B Graphing Absolute Value Inequalities in the Coordinate Plane 1. Find location of the absolute value “V”  a I x – h I + k 2. Determine if graph is.
Graphing Linear Inequalities in Two Variables SWBAT graph a linear inequality in two variables SWBAT Model a real life situation with a linear inequality.
Essential Question: How do you solve a system of inequalities by graphing?
1) Identify the domain and range InputOutput ) Graph y = -2x Domain = -1, 2, 5 & 6 Range = -2 & 3.
3.3 Linear Inequalities in Two Variables Objectives: Solve and graph a linear inequality in two variables. Use a linear inequality in two variables to.
Graphing Inequality Systems
Do Now ●. 2.8 Two Variable Inequalities Target: I can graph two variable inequalities.
Lesson 7-5 Graphing Linear Inequalities Graph a linear inequality in two variables Model a real life situation with a linear inequality.
Math Graphing Linear Inequalities in Two Variables 1.
Square Root Function Graphs Do You remember the parent function? D: [0, ∞) R: [0, ∞) What causes the square root graph to transform? a > 1 stretches vertically,
Chapter 3 Section 3.7 Graphing Linear Inequalities.
NOTES REV.5 Graph Square Root Equations and Inequalities.
Graphing Linear Inequations y > y is greater than  all points above the line are a solution y < y is less than  all points below the line are a solution.
Warm-Up 3.3 1) Graph y < -x + 1 2) Graph the system.
EXAMPLE 2 Graph a linear inequality in two variables Graph the inequality y > 4x – 3. STEP 2 0 > 4(0) – 3 ? Test (0, 0) in y > 4x – 3. SOLUTION Graph the.
Section 3-3: Graphing Inequalities Pages in textbooks.
7.5 Graphing Square Root & Cube Root Functions Obj: graph square root functions, state domain and range Do now: What is domain and range? Domain – the.
6.3 – Square Root Functions and Inequalities. Initial Point: (, k) and k are the horizontal and vertical shifts from the origin a value If a is negative.
Ticket in the Door 3-29 Solving Radical Inequalities Solve the following inequalities for x. Show work!
{ Chapter 7 Lesson 3 Square Root Functions and Inequalities.
SYSTEM OF INEQUALITIES Graphing. Linear Inequalities and System of Linear Inequalities  Make sure both inequalities are solved for y.  Graph like an.
Lesson 13.3 graphing square root functions
Quadratic and Square Root Inverse Relationships with Restrictions
Cube Root Functions 6.3 – Day 2.
Linear Inequalities and Systems of Linear Inequalities
5.3- Inverse Functions If for all values of x in the domains of f and g, then f and g are inverse functions.
SYSTEMS OF LINEAR INEQUALITIES
Linear Inequalities Solution to inequality in one variable – interval on number line Solution to inequality in two variables – points in the plane Graph.
Graphing Square Root and Cube Root Functions
Warmup 3-7(1) For 1-4 below, describe the end behavior of the function. -12x4 + 9x2 - 17x3 + 20x x4 + 38x5 + 29x2 - 12x3 Left: as x -,
Warm Up Identify the domain and range of each function.
Solve the radical equation
Graphing Systems of Inequalities.
Jeopardy Final Jeopardy Domain and Range End Behavior Transforms
Graphing Quadratic Inequalities
Academia Santa Rosa Graphing Systems of Inequalities Precalculus
Inverse Relations & Square Root Functions
− −2 − −4 >5 2+4>5
Objective 1A f(x) = 2x + 3 What is the Range of the function
Graphing Linear Inequalities in Two Variables
4 WARM UP GRAPH THE INEQUALITY (Lesson 1.4) x+5<− y > 19
Domain and Range.
Solutions of Equations and Inequalities
Radical Functions Essential Questions
Graphing Linear Equations
Unit 1 Day 8 Inverse Functions
UNIT 6 REVIEW FOR GRAPHING INEQUALITIES TEST
7.6 Graphing Systems of Linear Inequalities
Section 2.6 Day 2: Special Functions
Graphing Linear Equations
Graphing Quadratic Inequalities
Learning Target Students will be able to: Graph and solve linear inequalities in two variables.
Graphing Linear Inequalities
Presentation transcript:

Warmup Write in words what this function is doing to all inputs. Try to write the inverse of f(x) just in words. f(x) = 𝟏 𝟒 x + 3

6-3 Square Root Functions and Inequalities Graph and analyze square Root Equations and Inequalities.

Identify the domain and range of the function.

Graph each function. State the domain and range.

Square root inequality: Graph of region bounded by square root and edge of graph vertically. Graph border, make solid or dashed. Test a point beneath or above the curve (not left or right) If the point works, yippie! Shade in all the region above (or below) to edge of graph. If it doesn’t, shade the opposite direction (either up or down, not left or right. One edge is caused by domain problem.

Graph the inequality