Vertex (−5, 11), opens down. For the following exercises, use the vertex of the graph of the quadratic function and the direction..

For the following exercises, use the vertex of the graph of the quadratic function and the direction the graph opens to find the domain and range of the function.

Vertex (−5, 11), opens down.

Expert Solution

Consider the information provided in the problem.

As all real numbers is the domain of any quadratic equation.

Hence, the domain of this equation is all real numbers.

It is provided in the problem that parabola opens down therefore, the parabola has maximum value.

Vertex (h, k) of the parabola is (-5, 11)

It is provided that the value of k is 11.

Since, the parabola of the provided equation is maximum, the range will be f(x) ≤ k or (-∞, 11].

It implies that,

f(x) ≤ 11 or (-∞, 11].

Hence, the range of this equation is f(x) ≥ 11 or [-∞, 11).

Junaid answered 10 months ago

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