Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)
2nd Edition
ISBN: 9780076602919
Author: McGraw-Hill Education
Publisher: McGraw-Hill Education
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Concept explainers

Transformation of Graphs
The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.
Exponential Functions
The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, c…
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Question
Book Icon
Chapter 3.2, Problem 39PPS
To determine

To find: Zero of the function Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 1graphically as well as algebraically.

Expert Solution & Answer
Check Mark

Answer to Problem 39PPS

Zero of the function is .

Explanation of Solution

Given information: A functionAlgebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 2

Concept used: Graphically, the zero of a function is/are the value(s) of its independent variable on x axis, where its graph intersects the x axis. And to get its zero algebraically, put Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 3and solve it for x.

Calculation: On plug Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 4in given equation and on solving it for x,

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 5

Or, Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 6

i.e. Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 7

And to graph it, its two points to be calculated are :

    x  
    0  
    -3  

On plotting these points in XY plane, its graph is shown as:

  Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 8

And this graph shows that its zero is Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 9as the line intersects x axis at this point.

Conclusion : In both methods, the zero of the function is Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1), Chapter 3.2, Problem 39PPS , additional homework tip 10

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Chapter 3.2, Problem 40PPS

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 1AGPCh. 3.1 - Prob. 1BGPCh. 3.1 - Prob. 2GPCh. 3.1 - Prob. 3GPCh. 3.1 - Prob. 4AGPCh. 3.1 - Prob. 4BGPCh. 3.1 - Prob. 5AGPCh. 3.1 - Prob. 5BGPCh. 3.1 - Prob. 5CGPCh. 3.1 - Prob. 1CYU
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Find the point-slope form of the line passing through the given points. Use the first point as (x1, .y1). Plot ...

College Algebra with Modeling & Visualization (5th Edition)

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