I dont understand what these questions are asking for nor the steps for approach
ID: 2892875 • Letter: I
Question
I dont understand what these questions are asking for nor the steps for approaching the problem. Please help, thanks!!
The options given on the drop down bar are
removable
non removable
and 'no-discontinuity
#1 Consider the following x S 6 3x, f(x) 2 6x 5 x 6 Find the x-value at which f is not continuous. Is the discontinuity removable? (Enter NONE in any unused answer blanks Select Consider the following In(x 1) x 20 f(x) Find the x-value at which f is not continuous. Is the discontinuity removable (Enter NONE in any unused answer blanks.) ---SelectExplanation / Answer
1) f is discontinous at the point x=6 since
when f(x) = -3x f(6) = -18
when f(x) = x2 - 6x + 5 = 5;
Since 18~=5 the function is discontinous at the point x=6;
No, the function's discontinuity is not removable unless you are willing to change the eqution of the parabola to
x2 - 6x -18 from the present x2 - 6x+5
2) The function is discontinuous at x=1 since
when f(x) = ln (x+1); f(1) = ln 1 = 0
when f(x) = 8-x2 ; f(1) = 8-1 = 7
No, the function's discontinuity is not removable unless you are willing to change the eqution of the parabola to
1- x2 from the present 8- x2
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