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Identify a, b, and c in the given quadratic function. What does the value of a tell you about the function?
Minimum Value: - 74
Domain: {all real numbers}
Range: {f(x)|f(x)≥ - 74}
Let's begin by rewriting our function in the general expression of a quadratic function, y=ax^2+bx+c. f(x) = 2x^2 -16x-42⇔ f(x) = 2x^2 + (- 16)x + (- 42) We can see that a = 2, b = - 16, and c = - 42.
In the given function, we have a=2, which is greater than 0. Thus, the parabola will have a minimum value.
Unless there is a specific restriction given in the context of the problem, the domain of a quadratic function is all real numbers. In this case, there is no restriction on the value of x. Since the minimum value of the function is - 74, the range is all real numbers greater than or equal to - 74. Domain:& {all real numbers} Range:& {f(x)|f(x)≥ - 74}