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Need help! Explain why the function is discontinuous at the given number a. Sketch the graph of the function!
 one year ago
 one year ago
Need help! Explain why the function is discontinuous at the given number a. Sketch the graph of the function!
 one year ago
 one year ago

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jim_thompson5910Best ResponseYou've already chosen the best response.1
what is cos(0)
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
so notice how in the first piece, the y value at x = 0 is 1 but the y value in the second piece at x = 0 is 0 Can you visualize what I'm describing?
 one year ago

math456Best ResponseYou've already chosen the best response.0
yea so that means \[\cos x \neq x=0\]
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
do you mean cos(x) doesn't equal x when x = 0?
 one year ago

math456Best ResponseYou've already chosen the best response.0
yea because at x its 0 and at x<0 its 1
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
then you are correct, and this shows us that there is a discontinuity
 one year ago

math456Best ResponseYou've already chosen the best response.0
alright kool thanks and does the graph looks like this?dw:1348180882506:dw
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
you're on the right track
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
however, you only graph cos(x) when x < 0
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
and you only graph 1  x^2 when x > 0
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
make sure you draw a hole at (0,1) and a closed circle at (0,0)
 one year ago

math456Best ResponseYou've already chosen the best response.0
dw:1348181069990:dw like this?
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
closer, but now erase the piece of cos(x) that's to the right of x = 0 and erase the piece of 1  x^2 that's to the left of x = 0
 one year ago

jim_thompson5910Best ResponseYou've already chosen the best response.1
good, you got it
 one year ago

math456Best ResponseYou've already chosen the best response.0
alright thanks for ur help!
 one year ago
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