Writing systems of equations satisfying certain conditions For each exercise below you must write the symbolic form of a system of equations, such as (y=x²-1 which satisfies the indicated type of functions/graphs, as well as the number of solutions. For example, the system above consists of a line and a parabola and has two solutions (a quick sketch of each function/equation can show you this). The individual functions/equations can be simple, as long as they satisfy the requirements. Generate a system of equations consisting of: 1. two lines with one solution 2. two lines with zero solutions 6. an exponential function and a line, with two solutions 7. a rational function and a line, with two solutions

Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
icon
Related questions
Question
Writing systems of equations satisfying certain conditions
For each exercise below you must write the symbolic form of a system of equations, such as
(y=x²-1
which satisfies the indicated type of functions/graphs, as well as the number of solutions. For example, the system
above consists of a line and a parabola and has two solutions (a quick sketch of each function/equation can show you
this). The individual functions/equations can be simple, as long as they satisfy the requirements. Generate a system of
equations consisting of:
1. two lines with one solution
2. two lines with zero solutions
3. an absolute value function and a parabola, with two
solutions
4. an absolute value function and a parabola, with one
solution
5. an absolute value function and a parabola, with
zero solutions
6. an exponential function and a line, with two
solutions
7. a rational function and a line, with two solutions
8. a rational function and a line, with zero solutions
9. a radical function and a line, with two solutions
10. a radical function and a line, with one solution
52
Transcribed Image Text:Writing systems of equations satisfying certain conditions For each exercise below you must write the symbolic form of a system of equations, such as (y=x²-1 which satisfies the indicated type of functions/graphs, as well as the number of solutions. For example, the system above consists of a line and a parabola and has two solutions (a quick sketch of each function/equation can show you this). The individual functions/equations can be simple, as long as they satisfy the requirements. Generate a system of equations consisting of: 1. two lines with one solution 2. two lines with zero solutions 3. an absolute value function and a parabola, with two solutions 4. an absolute value function and a parabola, with one solution 5. an absolute value function and a parabola, with zero solutions 6. an exponential function and a line, with two solutions 7. a rational function and a line, with two solutions 8. a rational function and a line, with zero solutions 9. a radical function and a line, with two solutions 10. a radical function and a line, with one solution 52
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education