Question

Determine the domain and range of the given function.

Answer 1

The domain is

all real numbers

The range is

all real numbers greater than or equal to –2

Answer 2

The domain is all real numbers

The range is all real numbers greater than or equal to
`-2`

Explanation:

we know that

The function in the figure is a vertical parabola

The vertex of the function is the point
`(0,-2)`

The parabola open upward------> the vertex is a minimum

The domain is the interval------> (-∞,∞)

The domain is all real numbers

The range is the interval------> [-2,∞)

`y\geq-2`

The range is all real numbers greater than or equal to
`-2`