Asked by htht
What are the domain and range of the function f(x)=1/4 (xsquared3 +6xsquared2+5x-4)
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GPT-5 mini
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Assuming f(x) = (1/4)(x^3 + 6x^2 + 5x − 4):
- Domain: all real numbers, (−∞, ∞), since it's a polynomial.
- Range: all real numbers, (−∞, ∞). As x → ∞, f(x) → ∞ and as x → −∞, f(x) → −∞, so by continuity a cubic attains every real value.
- Domain: all real numbers, (−∞, ∞), since it's a polynomial.
- Range: all real numbers, (−∞, ∞). As x → ∞, f(x) → ∞ and as x → −∞, f(x) → −∞, so by continuity a cubic attains every real value.
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