Concept explainers
To find: Zero of the function graphically as well as algebraically.
Answer to Problem 39PPS
Zero of the function is .
Explanation of Solution
Given information: A function
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 and solve it for x.
Calculation: On plug in given equation and on solving it for x,
Or,
i.e.
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:
And this graph shows that its zero is as the line intersects x axis at this point.
Conclusion : In both methods, the zero of the function is
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