gra designs. these designs can be defined by mathematical functions. a) Plot the graphic design defined by the following set of functions, where x e R. y = , -2 s xs -0.1, 0.1 s xS2 X' y = -, -2 sxS2 X' y = V6 - x, x2 2 y = -V6 - x, x 2 2 y =V11 - x, x 2 2 y = -V11 - x, x2 2 y = V 2(4 - x), x2 2 y = -V2(4 – x), x > 2 y = Vx + 6, x s -2 y = -Vx + 6, xs-2 y =Vx + 11, xs -2 = Vx+ 11, xs -2 y = V 2(x + 4), xs -2 y = -V2(x + 4), xs -2 b) Explain the significance of x = 2. c) Create and draw your own graphic design using transformations of y = and y = Vx. You may also use transformations of other function %3D in vour design. List the functions vou decide to use, as well as their

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 44E
icon
Related questions
icon
Concept explainers
Question
CD covers and T-shirts often use graphics in their designs. Many of these
designs can be defined by mathematical functions.
a) Plot the graphic design defined by the following set of functions,
where x e R.
4
y = , -2 < x s -0.1, 0.1 < x s 2
y3-글,-2 s xS2
y = V6 – x, x2 2
y = -V6 - x, x 2 2
y = V11 - x, x2 2
y = -V11 - x, x2 2
y = V2(4 – x), x 2 2
y = -V2(4 – x), x 2 2
y= Vx + 6, x< -2
y = -Vx + 6, x<-2
y =Vx + 11, xs -2
y = -Vx+ 11, xs -2
y = V 2(x + 4), x< -2
y = -V2(x + 4), x< -2
b) Explain the significance of x = 2.
c) Create and draw your own graphic design using transformations of
y = + and y = Vx. You may also use transformations of other functions
%3D
in your design. List the functions you decide to use, as well as their
domains.
Transcribed Image Text:CD covers and T-shirts often use graphics in their designs. Many of these designs can be defined by mathematical functions. a) Plot the graphic design defined by the following set of functions, where x e R. 4 y = , -2 < x s -0.1, 0.1 < x s 2 y3-글,-2 s xS2 y = V6 – x, x2 2 y = -V6 - x, x 2 2 y = V11 - x, x2 2 y = -V11 - x, x2 2 y = V2(4 – x), x 2 2 y = -V2(4 – x), x 2 2 y= Vx + 6, x< -2 y = -Vx + 6, x<-2 y =Vx + 11, xs -2 y = -Vx+ 11, xs -2 y = V 2(x + 4), x< -2 y = -V2(x + 4), x< -2 b) Explain the significance of x = 2. c) Create and draw your own graphic design using transformations of y = + and y = Vx. You may also use transformations of other functions %3D in your design. List the functions you decide to use, as well as their domains.
Expert Solution
steps

Step by step

Solved in 5 steps with 3 images

Blurred answer
Knowledge Booster
Ellipses
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, advanced-math and related others by exploring similar questions and additional content below.
Recommended textbooks for you
Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Holt Mcdougal Larson Pre-algebra: Student Edition…
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
Algebra
ISBN:
9780395977224
Author:
Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:
McDougal Littell