Which graph represents the piecewise-defined function? y=⎪⎪5   if  x< −5−2   if  −5≤x≤61    if  x> 6

See the attached figure

Step-by-step explanation:

The given piecewise function is

Notice that the equality sign appeared at the middle only

so, the middle horizontal line must be blacked on the both sides which is the agree with the upper right figure

c

step-by-step explanation:

there is vertical asymptote at x = 2 and x = 0

vertical asymptote occurs at the points where the denominator is 0. so we can say that

x = 2 occurs when there is a factor (x-2) in the denominator, and

x = 0 occurs when there is a factor "x" in the denominator

thus, the denominator of the equation would have "x * (x-2)", this is option c only. that's the correct answer.

explanation:

step-by-step explanation: