Sketch the graph of function f and evaluate lim f(x) if it exists for the given value of a. (a=1) f(x)={x if x 1

Question

Sketch the graph of function f and evaluate lim f(x) if it exists for the given value of a. (a=1)
f(x)={x  if x <1
        {0  if x = 1
        {- x+2 if x>1

anonymous · Answer

$y=x$ is a line, as is $y=-x+2$ it is $y=x$ to the left of 1, and $-x+2$ to the right

anonymous · Answer

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anonymous · Answer

if you replace $x$ by 1 you see you get the same number in both expressions, $y=1$ and also $y=-1+2=1$ so the limit is 1, even though the value of the function at 1 is $f(1)=0$

anonymous · Answer

I don't understand the if x <1, x=0, x>1 part? What does it mean? If a=1 doesn't it mean put 1 in for x? @satellite73