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Find the domain and range of y=x^(2)+8x+17.

User Zbrox
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The domain is all real values of x.
This is the equation of a parabola which opens upwards and has a minimum value . To find this minimum value we need to convert to vertex form.

x^2 + 8x + 17
= (x + 4)^2 - 16 + 17
= (x + 4)^2 + 1

Minimum value is 1

Range is y >= 1 or [1, ∞) in interval form.
User Yorch
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