Question

"A function is graphed on a coordinate grid. As the domain values approach infinity, the range values approach infinity. As the domain values approach negative infinity, the range values approach infinity. To which family of functions might the described function belong?
a.reciprocal
b.square root
c.exponential
d.quadratic"

Answer 1

The answer is D. Quadratic. You can think by eliminating those which are wrong. You look at the horizontal line for the domain values and at vertical line for range values.

1. For square root the domain values is always positive (>=0) so it cannot approach to infinity.
2. For exponential as the domain values approach negative infinity, the range values approach to 0 not infinity.
3. For reciprocal as you approach to 0 the range values approach infinty. 

So the only left answer is D. Quadratic.