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Ray Atkinson
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Sketch on separate diagrams the graphs of the following functions1)

Customer Question

Sketch on separate diagrams the graphs of the following functions

1) f1(x)=sin(pix)
2) f2(x)=|x+2|
3) f3(x)=1+e^-X

b)Use your answers to part (a) to sketch the graph of the function

f(x) = sin (pix), x0
Submitted: 4 years ago.
Category: Homework
Expert:  Ray Atkinson replied 4 years ago.

Ray Atkinson :

Can you explain the notation? Is the first one f'(x)=sin(πx)?

Ray Atkinson :

I mean, is it the first derivative, or is it just function 1, 2, and 3?

Ray Atkinson :

also, what is the notation in the final question? I see f(x)=sin(πx), x0

JACUSTOMER-d4ckg2s1- :

Hi it is function 1, function 2 and function 3. For part b what i meant was f(x)=sin(piX) , x <-3

JACUSTOMER-d4ckg2s1- :

Sorry for part b i meant that f(x)={ sin(pix) x <-3 , Ix+2I -3 less than or equal to x < less than or equal to 0, 1+e^-x x>0

JACUSTOMER-d4ckg2s1- :

Have you answered the question? If so where is it ? I can not see it for some reason. Thanks

Ray Atkinson :

Full Size Image

Ray Atkinson :

That is the standard sine curve, period 2, amplitude from -1 to 1

Ray Atkinson :

function 2 is the regular absolute value plot, shifted 2 to the left.

Ray Atkinson :

Full Size Image

Ray Atkinson :

y=2+e^-x has an asymptote at y=1, crosses the y-axis at y=2, and quickly ascends to the left.

Ray Atkinson :

Full Size Image

Ray Atkinson :

As for the piecewise function. You simply take the pieces and put them together.

Ray Atkinson :

Full Size Image

Ray Atkinson :

It is ugly and does not connect, but it is a function.

Ray Atkinson :

By the way, my computer has been unavailable for the last couple of days. My apologies for the delay. I hope the answer is still in time.

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