Write a function g whose graph is a refl ection in the x axis of the graph of f. Graphing absolute value functions graph each equation.
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At the end of the explore phase students should be able to describe an absolute value function as two linear functions.
Lesson 2.1 graphing absolute value functions worksheet answers. Absolute value equations and inequalities absolute value definition the absolute value of x is defined as 0 0 where x is called the argument steps for solving linear absolute value equations. Name date 2 y lx ll 4 6 period v ijo 1 21 2 11 y v zž c 8 x 11 4 v lj l 10 y l x 21 1 l x il 12 create your own worksheets like this one with infinite algebra 1. Explain 1 graphing absolute value functions you can apply general transformations to absolute value functions by changing parameters in the equation g x a x h k.
Isolate the absolute value. Absolute value equations worksheet 2 pdf view answers. Lesson 1 7 translating absolute value functions discovery worksheet with answers name date graphing absolute value functions graph the following piecewise function by hand.
A refl ection in the x axis changes the sign of each output value. Section 1 2 transformations of linear and absolute value functions 13 writing refl ections of functions let f x x 3 1. X h k find the vertex of the example given the function g x a.
Use the definition of the absolute value function to show that f x i x is an even function. Absolute value inequality worksheet 3 here is a 9 problem worksheet where you will find the solution set of absolute value inequalities. This means before we.
Absolute value functions 360 explore the explore portion of the lesson provides the student with an opportunity to explore concretely the concept of absolute value functions. K 42u0x1g2c oksutaa a isto8f etvw 8a pr nee lfl cc h p qa3lelo 2rying9het psg irpe xs devryvhe id c y k 2m 0a wd5el 9wpiwthr ki jn cfmihnii qt meu ya3lwgdejb krra z u10 9 worksheet by kuta software llc kuta software infinite algebra 1 name graphing absolute value functions date period. Write a function h whose graph is a refl ection in the y axis of the graph of f.
2 name assignment date period graph each equation. The problem solve and graph 2 x 1 9 also has an absolute value and a symbol but this time there are mathematical operations on the outside of the absolute value. 1 0 0 x if x fx x if x 2 on your graphing calculator graph the function f x x with this window and answer the following questions.
These are two step inequalities where you ll need to use all of your inverse operations knowledge. 2 1 ski s practice relations and functions tate the domain and range of each relation. Identify what the isolated absolute value is set equal to a.
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