216k views
4 votes
Domain and range of the function and it’s inverse

Domain and range of the function and it’s inverse-example-1

1 Answer

1 vote

Answer:

B (second table in list)

Explanation:

The function is a quadratic with vertex and y-intercept at (0,-2). The parabola opens up meaning only y - values above -2 are a part of the function. Since range is the set of all y values, then the range is
y\geq -2.

The domain is not restricted and it is all real numbers.

The inverse of the function is where x and y are switched. So the range becomes the domain and vice verse.

This means the domain of the inverse is
x\geq -2 and the range of the inverse is all real numbers.

User Eillarra
by
6.1k points