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Algebra

Y=-3x+3

Input y = -3 x + 3 Geometric figure line Root x = 1 Derivative (d)/(dx)(-3 x + 3) = -3

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Algebra

Y=-3x+1

Input y = -3 x + 1 Geometric figure line Root x = 1/3 Derivative (d)/(dx)(-3 x + 1) = -3

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Algebra

Y=3x+1

Input y = 3 x + 1 Geometric figure line Alternate form -3 x + y – 1 = 0 Root x = -1/3 Derivative (d)/(dx)(3 x + 1) = 3

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Algebra

Y=3x^3

Input y = 3 x^3 Alternate form y – 3 x^3 = 0 Root x = 0 Derivative (d)/(dx)(3 x^3) = 9 x^2

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Algebra

Y=3x^2

Input y = 3 x^2 Geometric figure parabola Alternate form y – 3 x^2 = 0 Root x = 0 Derivative (d)/(dx)(3 x^2) = 6 x Global minimum min{3 x^2} = 0 at x = 0

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Algebra

Y=3-x

Input y = 3 – x Geometric figure line Root x = 3 Derivative (d)/(dx)(3 – x) = -1

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Algebra

Y=3^x

Input y = 3^x Roots (no roots exist) Derivative (d)/(dx)(3^x) = 3^x log(3) Limit lim_(x->-infinity) 3^x = 0

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Algebra

Y=3/x

Input y = 3/x Geometric figure hyperbola Alternate form assuming x and y are positive x y = 3 Roots (no roots exist) Derivative (d)/(dx)(3/x) = -3/x^2 Limit lim_(x-> ± infinity) 3/x = 0

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Algebra

Y=3/5x

Input y = 3/5 x Result y = (3 x)/5 Geometric figure line Alternate form y – (3 x)/5 = 0 Derivative (d)/(dx)((3 x)/5) = 3/5

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Algebra

Y=3/4x-5

Input y = 3/4 x – 5 Result y = (3 x)/4 – 5 Geometric figure line Root x = 20/3 Derivative (d)/(dx)((3 x)/4 – 5) = 3/4

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