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Algebra

Y=8x^2

Input y = 8 x^2 Geometric figure parabola Alternate form y – 8 x^2 = 0 Root x = 0 Derivative (d)/(dx)(8 x^2) = 16 x Global minimum min{8 x^2} = 0 at x = 0

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Algebra

Y=8x graph

Input interpretation plot | y = 8 x Geometric figure line

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Algebra

Y=8-2x

Input y = 8 – 2 x Geometric figure line Root x = 4 Derivative (d)/(dx)(8 – 2 x) = -2

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Algebra

Y=8/x

Input y = 8/x Geometric figure hyperbola Alternate form assuming x and y are positive x y = 8 Roots (no roots exist) Derivative (d)/(dx)(8/x) = -8/x^2 Limit lim_(x-> ± infinity) 8/x = 0

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Algebra

Y=8 graph

Input interpretation plot | y = 8

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Algebra

Y=7x+2

Input y = 7 x + 2 Geometric figure line Alternate form -7 x + y – 2 = 0 Root x = -2/7 Derivative (d)/(dx)(7 x + 2) = 7

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Algebra

Y=-7x

Input y = -7 x Geometric figure line Alternate form 7 x + y = 0 Derivative (d)/(dx)(-7 x) = -7

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Algebra

Y=7x

Input y = 7 x Geometric figure line Alternate form y – 7 x = 0 Derivative (d)/(dx)(7 x) = 7

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Algebra

Y=6x-7

Input y = 6 x – 7 Geometric figure line Alternate form -6 x + y + 7 = 0 Root x = 7/6 Derivative (d)/(dx)(6 x – 7) = 6

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Algebra

Y=6x-11

Input y = 6 x – 11 Geometric figure line Alternate form -6 x + y + 11 = 0 Root x = 11/6 Derivative (d)/(dx)(6 x – 11) = 6

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