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Mathematics

2 answers:

Whitepunk [10]3 years ago

8 0

Answer:

D. Domain: 2 > -11

Range: All real numbers

Step-by-step explanation:

Correct me if I’m wrong UwU

Ganezh [65]3 years ago

6 0

Answer:

Domain: All real numbers

Range: f(x) ≥ - 11

Step-by-step explanation:

Given the quadratic function in vertex form, f(x) = ½(x + 4)² - 11:

The vertex, (h, k) is (-4, -11).

<h3 /><h3>Range: f(x) ≥ -11. </h3>

The parabola opens upward (where <em>a</em> = ½, which is greater than 0), and <em>k</em> = -11 is the minimum value for f(x). Hence, the range of the given function must be <u>at least</u> -11, or f(x) ≥ -11.

<h3 /><h3>Domain: all real numbers</h3>

There is no restriction for the value of <em>x. </em>Therefore, the <u>domain</u> of the given function is all real numbers.

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