Question

Which inequality best represents the Domain of the part show ?

a) y_>4.5
b) x_>4.5
c) y_> -2
d) x_>-2

Answer 1

Answer: D)
`x \ge -2`

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Step-by-step explanation:

The domain is the set of all allowed x inputs.

The furthest to the left the curve goes is x = -2. So this is the smallest x value allowed as an input.

The largest input has no restriction since it grows forever toward the right (due to the arrow).

So we say that x can be -2 or larger meaning
`x \ge -2` is the domain.

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Extra info:

In interval notation, the domain would be
`[-2, \infty)` to indicate the interval from -2 to positive infinity. The square bracket says "include the endpoint". The curved parenthesis says "exclude the endpoint". We can never reach infinity, so we cannot possibly include it as an endpoint, so we always use parenthesis for either infinity.