A certain student was given the factored form of a rational function below. f (x) =3(2+7)/
2x(2-5)(2+7)
The student states the following key features:
• vertical asymptote is x= -5 and x=-7
• horizontal asymptote is the x axis
• function has a hole at x= 7
Which mistake(s) did the student make?

Given: lines a and b are parallel and line c is a transversal. prove: 2 is supplementary to 8 what is the missing reason in the proof? statement reason 1. a || b, is a transv 1. given 2. ∠6 ≅ ∠2 2. ? 3. m∠6 = m∠2 3. def. of congruent 4. ∠6 is supp. to ∠8 4. def. of linear pair 5. ∠2 is supp. to ∠8 5. congruent supplements theorem corresponding angles theorem alternate interior angles theorem vertical angles theorem alternate exterior angles theorem