The function f(x) = –x2 − 2x 15 is shown on the graph. what are the domain and range of the function? the domain is all real numbers. the range is {y|y < 16}. the domain is all real numbers. the range is {y|y ≤ 16}. the domain is {x|–5 < x < 3}. the range is {y|y < 16}. the domain is {x|–5 ≤ x ≤ 3}. the range is {y|y ≤ 16}.

The domain is all real numbers.

The range is {y|y ≤ 16}

Step-by-step explanation:

Given function,

Which a downward parabola,

∵ The vertex form of a parabola is

Where, (h, k) is the vertex of the parabola,

Thus, the vertex of the above parabola = ( -1, 16 ),

Since, a downward parabola gives maximum output value on its vertex,

So, the range of the parabola = all real numbers less than equal to 16,

i.e. Range = {y|y ≤ 16},

Now, a parabola is a polynomial and a polynomial is defined for all real numbers,

Hence, Domain = All real numbers