Use the graph of the function f to determine the given limit.

We have been given graph of a piece-wise function. We are asked to find the limit of function as x approaches .

We can see that our given function has a jump discontinuity at , while our function is continuous at .

We can see that the equation of line is from negative infinity to .

The limit of f(x) as x approaches from left side is 1 and limit of f(x) as x approaches from right side is 1 as well. The value of .

Since left hand side limit is equal to right hand side limit and it is equal to 1, therefore, .

step-by-step explanation:

i think something is missing in your question because y-1=(x-12) would not pass through the point (-4,-3). because if you replace x by -4 your are supposed to find y=-3 which is not the case her. if you replace x by -4 you find =-15.

i assume the right equation is y-1=1/4*(x-12) because this one is passing through both your points (if you are interested to know how i found that out i can tell you).

in this equation if i replace x by -4 i find y=-3 and if i replace x by 12, i find y=1 so the line representing this equation is passing through those 2 points.

then the standard form of the equation is finding an expression of y in function of x

y-1=1/4*(x-12)

y=x/4-3+1

y=x/4-2

hope that .

do you confirm there was a mistake in the question?