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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Chapter 3.2, Problem 1BGP
To determine

To find:

Zero of the function, f(x)=1.25x+3 graphically as well as algebraically.

Expert Solution & Answer
Check Mark

Answer to Problem 1BGP

Zero of the function is x=2.4 .

Explanation of Solution

Given information:

A function, f(x)=1.25x+3 .

Conceptused:

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 f(x)=0 and solve it for x.

Calculation:

To find zero algebraically, plug in f(x)=0 in given equation and solve it for x,

  0=1.25x+31.25x=3x=31.25=2.4

To graph it, its two points to be calculated as:

    x f(x)=1.25x+3(x,f(x))
    2.4 =1.25(2.4)+3=3+3=0(2.4,0)
    0 =1.25(0)+3=0+3=3(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 1BGP

And this graph shows that its zero is at x=2.4 as the line intersects x axis at this point.

Conclusion:

In both methods, the zero of the function is x=2.4 .

Chapter 3 Solutions

Algebra 1, Homework Practice Workbook (MERRILL ALGEBRA 1)

Ch. 3.1 - Prob. 2CYUCh. 3.1 - Prob. 3CYUCh. 3.1 - Prob. 4CYUCh. 3.1 - Prob. 5CYUCh. 3.1 - Prob. 6CYUCh. 3.1 - Prob. 7CYUCh. 3.1 - Prob. 8CYUCh. 3.1 - Prob. 9CYUCh. 3.1 - Prob. 10CYUCh. 3.1 - Prob. 11CYUCh. 3.1 - Prob. 12CYUCh. 3.1 - Prob. 13PPSCh. 3.1 - Prob. 14PPSCh. 3.1 - Prob. 15PPSCh. 3.1 - Prob. 16PPSCh. 3.1 - Prob. 17PPSCh. 3.1 - Prob. 18PPSCh. 3.1 - Prob. 19PPSCh. 3.1 - Prob. 20PPSCh. 3.1 - Prob. 21PPSCh. 3.1 - Prob. 22PPSCh. 3.1 - Prob. 23PPSCh. 3.1 - Prob. 24PPSCh. 3.1 - Prob. 25PPSCh. 3.1 - Prob. 26PPSCh. 3.1 - Prob. 27PPSCh. 3.1 - Prob. 28PPSCh. 3.1 - Prob. 29PPSCh. 3.1 - Prob. 30PPSCh. 3.1 - Prob. 31PPSCh. 3.1 - Prob. 32PPSCh. 3.1 - Prob. 33PPSCh. 3.1 - Prob. 34PPSCh. 3.1 - Prob. 35PPSCh. 3.1 - Prob. 36PPSCh. 3.1 - Prob. 37PPSCh. 3.1 - Prob. 38PPSCh. 3.1 - Prob. 39PPSCh. 3.1 - Prob. 40PPSCh. 3.1 - Prob. 41PPSCh. 3.1 - Prob. 42PPSCh. 3.1 - Prob. 43PPSCh. 3.1 - Prob. 44PPSCh. 3.1 - Prob. 45PPSCh. 3.1 - Prob. 46PPSCh. 3.1 - Prob. 47PPSCh. 3.1 - Prob. 48PPSCh. 3.1 - Prob. 49PPSCh. 3.1 - 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