A portion of the graph of f(x) = −x2 − 10x − 21 is shown. Which of the following describes all solutions for f(x)?

(x, x2 − 10x − 21), where −7 ≤ x ≤ −3
(x, y), where −7 ≤ x ≤ −3
(x, x2 − 10x − 21), where −8 ≤ x ≤ −2
(x, y) for all real numbers

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

The given equation of the function is;

-x²-10x-21=0

To solve for x;

x²+10x+21=0

x²+7x+3x+21=0

(x+7)(x+3)=0

thus, the solution is x=-7 OR -3.

Hence, The function that describes all solutions for f(x) is C. (x, x2 − 10x − 21), where −8 ≤ x ≤ −2 because x is greater than it.

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A portion of the graph of f(x) = −x2 − 10x − 21 is shown. Which of the following describes all solutions for f(x)? (x, x2 − 10x − 21), where −7 ≤ x ≤ −3 (x, y), where −7 ≤ x ≤ −3 (x, x2 − 10x − 21), where −8 ≤ x ≤ −2 (x, y) for all real numbers

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What is a system of equations?

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A portion of the graph of f(x) = −x2 − 10x − 21 is shown. Which of the following describes all solutions for f(x)?

(x, x2 − 10x − 21), where −7 ≤ x ≤ −3
(x, y), where −7 ≤ x ≤ −3
(x, x2 − 10x − 21), where −8 ≤ x ≤ −2
(x, y) for all real numbers