Вопрос:

The question is whether the given graphs correspond to the given functions. If so, which graph corresponds to which function?

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Ответ:

Analysis of the functions and graphs:

  • Function A: y = 1/x. This is a reciprocal function, whose graph is a hyperbola with two branches in the first and third quadrants. The graph labeled '1)' matches this description.
  • Function B: y = x + 1. This is a linear function with a y-intercept of 1 and a slope of 1. The graph labeled '3)' is a straight line passing through (0,1) and (1,2), which matches this function.
  • Function C: y = x^2 + 14x + 24. This is a quadratic function, whose graph is a parabola. The graph labeled '2)' is a parabola opening upwards.

Correspondence:

  • Graph 1) corresponds to function A) y = 1/x.
  • Graph 2) corresponds to function C) y = x^2 + 14x + 24.
  • Graph 3) corresponds to function B) y = x + 1.

Answer: Graph 1) corresponds to A), Graph 2) corresponds to C), and Graph 3) corresponds to B).

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