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1. The graph of quadratic function is shown on the grid. Which of these best represents the domain of f? F -3leqslant xleqslant 2 G All real numbers H ygeqslant 5.5 J All real numbers less than -3 or greater than 2

Question

1. The graph of quadratic function is shown on the grid.
Which of these best represents the domain of f?
F -3leqslant xleqslant 2
G All real numbers
H ygeqslant 5.5
J All real numbers less than -3 or greater than 2

1. The graph of quadratic function is shown on the grid. Which of these best represents the domain of f? F -3leqslant xleqslant 2 G All real numbers H ygeqslant 5.5 J All real numbers less than -3 or greater than 2

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AmeliaMaster · Tutor for 5 years

Answer

The domain of a function refers to all the possible input values (x-values) for which the function is defined. For a quadratic function represented by a parabola, the domain is typically all real numbers because a parabola extends infinitely in both the left and right directions along the x-axis.Based on the description provided in the picture details, the parabola opens upwards and is symmetric about the line x = -1. There is no indication that the parabola has been restricted or truncated in any way. Therefore, the parabola continues indefinitely to the left and right along the x-axis.Given this information, the domain of the quadratic function \(f\) is all real numbers, because for every real number x, there is a corresponding y-value on the parabola.The correct answer is:All real numbers.
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