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What is the range of the function f(x) = 3x2 + 6x – 8?

y
y ≤ –1
y
y ≤ –11

1 Answer

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f(x) is a quadratic equation with the x-side squared and a is positive which means that the graph of the function is a parabola facing up. The range of f(x) is given by y ≥ k, where k is the y-coordinate of the vertex.

, written in vertex form is

, where (h, k) = (-1, -11)

Therefore, range =y

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