Use the drop-down menus to describe the key aspects of the function f(x) = –x2 – 2x – 1. the vertex is the . the function is increasing . the function is decreasing . the domain of the function is . the range of the function is

The vertex is (-1, 0),

The function is increasing and decreasing both for different intervals,

The domain of the function is set of all real numbers,

Range is (-∞, 0]

Step-by-step explanation:

Given function,

Since, vertex form of a quadratic equation is,

Where,

(h, k) is the vertex of the function,

By comparing,

Vertex of the given function = (-1, 0),

A quadratic function with negative leading coefficient is increasing from -∞ to its vertex and decreasing from its vertex to +∞,

Also, domain of a quadratic function is set of all real numbers,

While, quadratic function with negative leading coefficient is maximum at its vertex,

∴ Range = (-∞, 0]

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step-by-step explanation:

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