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

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

Mathematics
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Other answers:

what is cos(0)
its 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?
yea so that means \[\cos x \neq x=0\]
do you mean cos(x) doesn't equal x when x = 0?
yea because at x its 0 and at x<0 its 1
then you are correct, and this shows us that there is a discontinuity
alright kool thanks and does the graph looks like this?|dw:1348180882506:dw|
you're on the right track
however, you only graph cos(x) when x < 0
and you only graph 1 - x^2 when x > 0
make sure you draw a hole at (0,1) and a closed circle at (0,0)
|dw:1348181069990:dw| like this?
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
|dw:1348181225073:dw|
good, you got it
alright thanks for ur help!
np

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