Choose all of the functions that are nonlinear. A. y=4-2x B. y=(5)/(at)-2 c. y=(21)/(31)x-7 D. y=8(x-1) E. y=x(2x+4)

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Choose all of the functions that are nonlinear. A.  y=4-2x B.  y=(5)/(at)-2 c.  y=(21)/(31)x-7 D.  y=8(x-1) E.  y=x(2x+4)

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Definition of Nonlinear Function: A function is considered nonlinear if it cannot be written in the form y = mx + b, where m and b are constants, and the graph of the function is not a straight line. Let's examine each function to determine if it is nonlinear.Function A Analysis: Function A: y = 4 - 2x This function is in the form y = mx + b, where m = -2 and b = 4. The graph of this function is a straight line, so it is a linear function.Function B Analysis: Function B: y = (5)/(at) - 2 This function is not in the form y = mx + b because it contains a variable in the denominator. The presence of the variable t in the denominator indicates that the function is nonlinear.Function C Analysis: Function C: y = (21)/(31)x - 7 This function is in the form y = mx + b, where m = (21)/(31) and b = -7. The graph of this function is a straight line, so it is a linear function.Function D Analysis: Function D: y = 8(x - 1) This function can be expanded to y = 8x - 8, which is in the form y = mx + b, where m = 8 and b = -8. The graph of this function is a straight line, so it is a linear function.Function E Analysis: Function E: y = x(2x + 4) This function can be expanded to y = 2x^2 + 4x, which is a quadratic function. Since it has an x^2 term, the graph of this function is a parabola, not a straight line, making it a nonlinear function.

Choose all of the functions that are nonlinear. $\newline$ A. $y=4-2x$ $\newline$ B. $y=\frac{5}{at}-2$ $\newline$ C. $y=\frac{21}{31}x-7$ $\newline$ D. $y=8(x-1)$ $\newline$ E. $y=x(2x+4)$

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Choose all of the functions that are nonlinear.\newlineA. y=4−2xy=4-2xy=4−2x\newlineB. y=5at−2y=\frac{5}{at}-2y=at5​−2\newlineC. y=2131x−7y=\frac{21}{31}x-7y=3121​x−7\newlineD. y=8(x−1)y=8(x-1)y=8(x−1)\newlineE. y=x(2x+4)y=x(2x+4)y=x(2x+4)

Choose all of the functions that are nonlinear. $\newline$ A. $y=4-2x$ $\newline$ B. $y=\frac{5}{at}-2$ $\newline$ C. $y=\frac{21}{31}x-7$ $\newline$ D. $y=8(x-1)$ $\newline$ E. $y=x(2x+4)$