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, .

f(x) = x^3 -2x^2 -3x

x( x^2 -2x-3)

x( x^2 +x -3x -3)

x( x(x+1) -3(x+1))

x( x-3)( x+1)

so zeroes are 0, 3,-1

its (2) option

fa tha first one you gonna add y to both sides

it look like this

x-y+y=6+y

x=y+6

therefore your answer is

x =y+6

fa tha second one

you gonna flip tha equation

it gonna look like x-4y=y

then add 4 to both sides

it gonna look like tha

x-4 +4 =y +4

so therefore tha answer is x=y+4

step-by-step explanation: