By the definition for the absolute value,
So for the compound function
, there are three intervals to consider. What happens when
? when
? when
?
You have
Answer:
d
Step-by-step explanation:
The denominator of f(x) cannot be zero as this would make f(x) undefined.
Equating the denominator to zero and solving gives the value that x cannot be and if the numerator is non zero for this value then it is a vertical asymptote.
x + 3 = 0 ⇒ x = - 3 ← equation of vertical asymptote
I cannot see your picture, but if the plane cutting the cylinder is indeed perpendicular to the cylinder's base, then the cross section must be square or rectangular. Going by the shape of most cylinders, I would guess that it is rectangular.
The x-axis.
In the form Y = mx + b
m is the slope, so no slope means that my is zero so that means x is zero also.
So you would end up with
y = b so that means y will always be that value and the only thing that will change is the x value. This will create a horizontal lines that is parallel to the x-axis