Here's a question from Ch-7 , Ex-14.3
2 answers:
<em>Graph</em><em> </em><em>is</em><em> </em><em>attached</em><em>!</em><em>~</em>
<em>The</em><em> </em><em>solution</em><em> </em><em>on</em><em> </em><em>paper</em><em> </em><em>is</em><em> </em><em>also</em><em> </em><em>attached</em><em> </em><em>with</em><em> </em><em>it</em><em>.</em><em>.</em>
The equation that represents the work done as a function of the distance is
Represent the work done with w, and the distance travelled with d.
So, the proportional equation is:
Where:
F represents the proportional constant (Force)
Given that, the force is 5;
The equation becomes
Hence, the equation that represents the work done as a function of the distance is
See attachment for the graph of the function
Read more about variation at:
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Given:
The piecewise function is
To find:
The range of given piecewise function.
Solution:
Range is the set of output values.
Both functions and
as linear functions.
Starting value of is at x=-4 and end value is at x=3.
Starting value:
End value:
Starting value of is at x=3 and end value is at x=6.
Starting value:
End value:
Least range value is 0 at x=-4 and 0 is included in the range because -4 is included in the domain.
Largest range value is 11 at x=6 and 11 is not included in the range because 6 is not included in the domain.
So, the range of the given piecewise function is [0,11).
Therefore, the correct option is A.