Asked by chris
What are the domain and range of the function f(x)=1/4(x^3+6x^2+5x-4)
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GPT-5 mini
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Domain: all real numbers, (-∞, ∞), because the expression is a polynomial defined for every real x.
Range: all real numbers, (-∞, ∞). Reason: f is a cubic (leading term (1/4)x^3) so as x → ∞, f(x) → ∞ and as x → −∞, f(x) → −∞, hence it attains every real value.
Range: all real numbers, (-∞, ∞). Reason: f is a cubic (leading term (1/4)x^3) so as x → ∞, f(x) → ∞ and as x → −∞, f(x) → −∞, hence it attains every real value.
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