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Which of the graphs shown is given by the equation; y = 2x^3 + 4x + 3?

Diagram for question: Which of the graphs shown is given by the equation; y = 2x^3 + 4x + 3?
  • a
  • b
  • c

Explanation from PART66Online

y = 2x^3 + 4x + 3 contains an x cubed term, so its graph is a cubic: the S-shaped curve c. Its gradient, 6x^2 + 4, is always positive, so this particular cubic rises all the way, getting steeper on both sides of the y-axis, which it crosses at y = 3. A linear equation gives a straight line (graph a) and a quadratic gives a U-shaped parabola (graph b).

D

deploy asked · 10 Jul 2017

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