2. What value of x is not included in the domain of the function y =
1
? Why?
x +12
a.
x = 12 is not in the domain; if x = 12, the corresponding y-value would be 0, and there is
a horizontal asymptote at y = 0.
b. x = 0 is not in the domain; if x = 0, the fraction in the function would have a 0 in the
denominator.
x = -12 is not in the domain; if x = -12, the fraction in the function would have a 0 in
the denominator.
d. x=-11 is not in the domain; if x =-11, the corresponding y-value would be 1, and there
is a horizontal asymptote at y = 1.
c.
The sum of the angles in a triangle is 180ยฐ. this is called the angle-sum property.the sum of the lengths of any two sides of a triangle is greater than the length of the third side. similarly, the difference between the lengths of any two sides of a triangle is less than the length of the third side.the side opposite to the largest angle is the longest side of the triangle and the side opposite to the smallest angle is the shortest side of the triangle.
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