Which equations define y as a nonlinear function of x? Select all that apply. Multi-select Choices: (A)y = 4x^2 + 5x - 8 (B)y = -8 + 5x (C)y = x^3 + 1 (D)y = x - 9^2 (E)y = sqrt x - 3 (F)y = x^2

Question

Which equations define y as a nonlinear function of x? Select all that apply.   Multi-select Choices: (A)y = 4x^2 + 5x - 8 (B)y = -8 + 5x (C)y = x^3 + 1 (D)y = x - 9^2 (E)y = sqrt x - 3 (F)y = x^2

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Analyze Equation (A):  Step 1: Analyze equation (A) y = 4x^2 + 5x - 8. Nonlinear functions include terms with exponents greater than 1. Here, x^2 is present.Analyze Equation (B):  Step 2: Analyze equation (B) y = -8 + 5x. This is a linear equation because it can be rewritten as y = 5x - 8, which is in the form y = mx + b.Analyze Equation (C):  Step 3: Analyze equation (C) y = x^3 + 1. The term x^3 makes this a nonlinear function, as the exponent is greater than 1.Analyze Equation (D):  Step 4: Analyze equation (D) y = x - 9^2. This simplifies to y = x - 81, which is linear (y = x + b).Analyze Equation (E):  Step 5: Analyze equation (E) y = sqrt(x) - 3. The square root function is nonlinear.Analyze Equation (F):  Step 6: Analyze equation (F) y = x^2. This is clearly a nonlinear function due to the x^2 term.

Which equations define $y$ as a nonlinear function of $x$ ? Select all that apply. $\newline$ Multi-select Choices: $\newline$ (A) $y = 4x^2 + 5x - 8$ $\newline$ (B) $y = -8 + 5x$ $\newline$ (C) $y = x^3 + 1$ $\newline$ (D) $y = x - 9^2$ $\newline$ (E) $y = \sqrt{x} - 3$ $\newline$ (F) $y = x^2$

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