Question

Give the domain and range of the quadratic function whose graph is described.

The vertex is (-6, -2) and the parabola opens up.

Answer 1

Domain: all real numbers

Range: -2 <= y

Explanation:

For all parabolas that open up or down, the domain is all real numbers. You could walk up and down the x-axis and always be able to find this curve forever to positive numbers and forever to the negative number side. The domain is all the x's that can be found on the curve or are allowed to be used in the equation. This is all real numbers; that's why the domain is all real numbers.

As for the range, all the y's that can be found on the graph are from the lowest point and up. So, the graph of this curve does not exist below -2. The range is -2 and up.

y >= -2 or

-2 <= y

in interval notation:

[-2, infinitysymbol)

Answer 2

Domain: All real #s

Range: All real numbers greater than -2