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

Reciprocal function: For example: y = 2/x, as the domain values approach infinity, the range values approach zero.

Square root function: For example: y = √x, domain is [ 0, + ∞) so the domain can't approach the negative infinity.

Exponential function: For example: y = 2^x, as the domain values approach infinity, the range values approach infinity and as the domain values approach negative infinity, the range values approach zero.

Answer:

D) quadratic (for example: y = x² + 4)