How do you work out where construction lines go when sketching graphs such as #f(x)=x sin x#?
I am finding it difficult to understand how to calculate construction lines for graphs such as that given above.
Here, I know the lines are at #y=abs(x)# and #y=-abs(x)# but how do I work this out for myself?
I am finding it difficult to understand how to calculate construction lines for graphs such as that given above.
Here, I know the lines are at
1 Answer
When you graph any function of the form
The same principle applies equally other periodic functions,
Thus if we want to graph
graph{sinx [-15, 15, -10, 10]}
And
graph{(y-x)(y+x)=0 [-15, 15, -10, 10]}
We can now sketch the oscillations so that they lie between the
graph{(y-x)(y+x)(y-xsinx)=0 [-15, 15, -10, 10]}
Leading to the final graph
graph{xsinx [-15, 15, -10, 10]}
