A function is graft 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 negative infinity. To which family of functions might the describe the function belong?

A: absolute value
B: exponential
C: cube root
D: Square root

C. Cube root

Step-by-step explanation:

Domain is all the possible x-values that the function can have. Range is the possible y-values that the function can have.

When domain approaches infinity, that's just talking about the right of the x-axis and all those values. When domain approaches negative infinity, that's talking about the left of the x-axis. It's the same concept for range.

Here, we know that as domain goes to infinity, range goes to infinity as well, so imagine a graph whose line is going up and right forever. We also know that as domain goes to negative infinity, range goes to negative infinity, too, so imagine the other half of that line going down and left.

This kind of graph is always the characteristic of cube root functions, which are called "odd" functions.

Thus, the answer is C.

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step-by-step explanation:

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