g(t)=u(7t+sqrt3)

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g(t)=u(7t+sqrt3)

Mathematics
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I have to plo\[g(t)=u(7t+\sqrt{3})\] and find at what points the function is discontinuous.
Example:\[f(t)=u(3t-7)\]\[3t-7=0\]\[3t=7\]\[t=\frac{ 3 }{ 7 }\]|dw:1440369141852:dw|
|dw:1440369231308:dw|

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Another Example: \[h(t)=u(-3t+7)\]\[-3t+7=0\]\[-3t=-7\]\[t=7/3\]|dw:1440369295368:dw|
http://prntscr.com/883u7t here is the defintion of a unit step function
that is where wherever the shift is taking place is where the discontinuity is
oh that makes more sense, so if I solve for 0, shouldn't I get when t=0?
and from the examples I was given, it seems that at those points is where the shift happens
|dw:1440369613756:dw|
i think you should really be thinking of what a function is and how transformations work
it just so happens that for this function solving for u(f(t)) where f(t)=0 is the discontinuty as u(0) is discont there
i say this because there might be some other ways to restrict this funtion that is not begin considered right now
So the shift doesn't always occur when it's at 0?
i dont know what you should really be thinking about is the bigger picture though that setting to 0 is more like a formula
or only if we follow |dw:1440370174580:dw|
you understand how function transformations work right like say g(t) and f(t) = a*g(b(t-c)) + d a,b,c,d are constants
f(t) is g(t) with vertical stretch of factor a, horizontal compression of b, shift to right of c and vertical shift of d
yes I understand all that
yeah thats all u need to know
and the definition of u(t) which u have
|dw:1440370382170:dw|
for example they can give u something like this, they you wouldnt worry about just setting bracket =0
there will be other places where the function is not defined like this
or suppose they started throwing t into radicals or having abs values in there and stuff like that
I don't think I'm ready for all that yet lol. I've only seen this for 1 class and I still have 1 doubt with the direction of the plot
Like for the second example, what made the plot switch directions?|dw:1440370886926:dw|

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