Algebra 2
Algebra 2
1st Edition
ISBN: 9780078884825
Author: McGraw-Hill/Glencoe
Publisher: Glencoe/McGraw-Hill School Pub Co
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Chapter 2.2, Problem 2E
To determine

To relate: solutions of equations and x-intercepts of graphs.

Expert Solution & Answer
Check Mark

Explanation of Solution

Given information:

solutions of equations and x-intercepts of graphs.

Formula used:

The solution of an equation is called the root of the equation.

  f(x)=0 are called zeros of the function f .

Proof:

Consider the example ,

  0=4x+10

Now,

Subtracting 10 from both the sides

  4x+1010=010

  4x=10

Divide both the sides by 4.

  4x4=104

  x=52 .

Therefore, the solution of the equation is 52 .

The solution of the equation is the root of the equation i.e. the root of the equation is 52 .

Now, we will consider

  f(x)=4x+104x+10=0

Subtracting 10 from both the sides

  4x+1010=010

  4x=10

Divide both the sides by 4.

  4x4=104

  x=52 .

The zero of the function is the x-intercept of the graph of the function .

Hence , the function f(x)=4x+10 intercepts the x -axis at 52 , the zero of the function is 52 .

This shows that solutions of equations results in value of x and the roots of an equation can be find out by finding the zero of its related function.

Hence Proved.

Chapter 2 Solutions

Algebra 2

Ch. 2.1 - Prob. 5CYUCh. 2.1 - Prob. 6CYUCh. 2.1 - Prob. 7CYUCh. 2.1 - Prob. 8CYUCh. 2.1 - Prob. 9CYUCh. 2.1 - Prob. 10CYUCh. 2.1 - Prob. 11PPSCh. 2.1 - Prob. 12PPSCh. 2.1 - Prob. 13PPSCh. 2.1 - Prob. 14PPSCh. 2.1 - Prob. 15PPSCh. 2.1 - Prob. 16PPSCh. 2.1 - Prob. 17PPSCh. 2.1 - Prob. 18PPSCh. 2.1 - Prob. 19PPSCh. 2.1 - Prob. 20PPSCh. 2.1 - Prob. 21PPSCh. 2.1 - Prob. 22PPSCh. 2.1 - Prob. 23PPSCh. 2.1 - Prob. 24PPSCh. 2.1 - Prob. 25PPSCh. 2.1 - Prob. 26PPSCh. 2.1 - Prob. 27PPSCh. 2.1 - Prob. 28PPSCh. 2.1 - Prob. 29PPSCh. 2.1 - Prob. 30PPSCh. 2.1 - Prob. 31PPSCh. 2.1 - Prob. 32PPSCh. 2.1 - Prob. 33PPSCh. 2.1 - Prob. 34PPSCh. 2.1 - Prob. 35HPCh. 2.1 - Prob. 36HPCh. 2.1 - Prob. 37HPCh. 2.1 - Prob. 38HPCh. 2.1 - Prob. 39HPCh. 2.1 - Prob. 40HPCh. 2.1 - Prob. 41HPCh. 2.1 - Prob. 42HPCh. 2.1 - Prob. 43HPCh. 2.1 - Prob. 44HPCh. 2.1 - Prob. 45STPCh. 2.1 - Prob. 46STPCh. 2.1 - Prob. 47STPCh. 2.1 - Prob. 48STPCh. 2.1 - Prob. 49STPCh. 2.1 - Prob. 50STPCh. 2.1 - Prob. 51STPCh. 2.1 - Prob. 52STPCh. 2.1 - 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