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?
reciprocal,
O square root
O exponential
O quadratic

Answer 1

It would be d I believe sorry if wrong

Answer 2

Only quadratic function will follow the rule because it has even degree polynomial. Thus option D) Quadratic is correct.

What is a function?

Function is a type of relation, or rule, that maps one input to specific single output.

Given information;

A function is graphed on a coordinate grid.

As the domain values approach infinity, the range values approach infinity.

      Domain: If x tends to infinity then

      Range: y tends to infinity

As the domain values negative infinity, the range values approach infinity;

      Domain: If x tends to negative infinity  then

      Range: y tends to infinity

Thus, Only quadratic function will follow the rule because it has even degree polynomial

Quadratic function: ax² + bx + c = 0

Degree = 2 and leading coefficient is positive.

Domain: $x (- \infty, \infty)$

Range: $y ( b, \infty)$

Hence, D is correct option.

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