Question

$9-14=$ Points on a Graph? Determine whether the given points are on the graph of the equation. $$ y\left(x^{2}+1\right)=1 ; \quad(1,1),\left(1, \frac{1}{2}\right),\left(-1, \frac{1}{2}\right) $$

Name: Problem 12, Chapter 1: Algebra and Trigonometry
Uploaded: 2019-06-27T23:58:08-08:00
Duration: 1 min 58 s
Channel: Taylor Shimono
Description: 9-14= Points on a Graph? Determine whether the given points are on the graph of the equation. y(x^2+1)=1 ; (1,1),(1, (1)/(2)),(-1, (1)/(2))

   $9-14=$ Points on a Graph? Determine whether the given points
are on the graph of the equation.
$$
y\left(x^{2}+1\right)=1 ; \quad(1,1),\left(1, \frac{1}{2}\right),\left(-1, \frac{1}{2}\right)
$$

Algebra and Trigonometry

James Stewart,… 4th Edition

Chapter 1, Problem 12

Instant Answer

Solved by Expert Taylor Shimono

06/27/2019

Step 1

Step 1: First, we need to substitute the given points into the equation and check if both sides of the equation are equal. Show more…

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$9-14=$ Points on a Graph? Determine whether the given points are on the graph of the equation. $$ y\left(x^{2}+1\right)=1 ; \quad(1,1),\left(1, \frac{1}{2}\right),\left(-1, \frac{1}{2}\right) $$

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Key Concepts

Graph of an Equation

This refers to the set of all points that satisfy a given relationship between the variables. Understanding the graph involves identifying the curve described by the equation and analyzing its features, such as the domain, range, and any symmetry it may have.

Substitution Method

This is the process of inserting specific values into an equation to verify if the resulting statement is true. It is a common and straightforward method to determine whether a given point lies on the graph of the equation.

Coordinate Verification

This concept involves checking if the coordinates of a point satisfy the equation that defines a graph. It combines understanding algebraic relationships with the graphical representation of those relationships in the coordinate plane.

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