Explanation Given information: The equations, y = 2 x and y = ( 1 2 ) − x Concept used: In a rectangular coordinate system any point is represented as ( x , y ) . It indicate that the point is at a horizontal distance of x units and vertical distance of y units from the origin ( 0 , 0 ) . A point in the first quadrant be of the form ( + , + ) . A point in the second quadrant be of the form ( − , + ) . A point in the third quadrant be of the form ( − , − ) . A point in the fourth quadrant be of the form ( + , − ) . Exponent property, ( 1 a ) − n = a n Calculation: In order to graph the given equation, first we will find some ordered pairs on the graph by taking some random values of x and find the corresponding y-values. Then we plot these points on rectangular coordinate system and connect with a smooth curve. So, we take some random values of x and will find the corresponding y values. So, we have x y = 2 x Ordered Pair y = ( 1 2 ) − x Ordered Pair − 2 y = 2 − 2 = 1 2 2 = 1 4 ( − 2 , 1 4 ) y = ( 1 2 ) − ( − 2 ) = ( 1 2 ) 2 = 1 4 ( − 2 , 1 4 ) − 1 y = 2 − 1 = 1 2 1 = 1 2 ( − 1 , 1 2 ) y =

17th Edition

ISBN: 9780134650111

Author: Martin-Gay

Publisher: PEARSON

See similar textbooks

Concept explainers

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These…

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are…

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) ge…

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.

Videos

Question

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 19.3, Problem 75ES

To determine

The graph of the equation y=2x and y=(12)−x on the same set of axes.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 19.3, Problem 74ES

Chapter 19.3, Problem 76ES

Students have asked these similar questions

For what values of k will the equation (k + 1)x² + 6kx + 2k² - x = 0 have: a) one root equal zero b) one root the reciprocal of the other c) roots numerically equal but of opposite sign

1) Find The inverse The domain of m(x) = tion and of the function The inverse function 3- √x-a

Graph the following function. Please also graph the asymptote. Thank you.

Chapter 19 Solutions

ALGEBRA FOUNDATIONS PREALG.>NASTA ED.<

Ch. 19.1 - Prob. 1VRVC Ch. 19.1 - Prob. 2VRVC Ch. 19.1 - Prob. 3VRVC Ch. 19.1 - Prob. 4VRVC Ch. 19.1 - Prob. 5VRVC Ch. 19.1 - Prob. 6VRVC Ch. 19.1 - Prob. 1ES Ch. 19.1 - Prob. 2ES Ch. 19.1 - Prob. 3ES Ch. 19.1 - Prob. 4ES

Knowledge Booster

$Algebra$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.

The graph of the equation y = 2 x and y = ( 1 2 ) − x on the same set of axes.

Solution Summary: The author shows the graph of the equations y=2x and Y=(12)x on the same set of axes.

Concept explainers

Videos

The graph of the equation y=2x and y=(12)−x on the same set of axes.

Want to see the full answer?

Chapter 19 Solutions