Вопрос:

The image contains several mathematical graphs and equations. There are three main sections, each with three numbered questions (1, 2, 3) and corresponding lettered options (A, B, C, etc.). The task is to match the equation to its graph and select the correct option from the provided tables. For each section, identify the correct pairings based on the visual representation of the functions.

Смотреть решения всех заданий с листа

Ответ:

Section 1:

1) y = -1/x

This is a reciprocal function. The graph should show two branches, one in the second quadrant and one in the fourth quadrant, with asymptotes at the x and y axes. Graph 1-A matches this description.

2) y = √x

This is a square root function. The graph starts at the origin and curves upwards into the first quadrant. Graph 1-B matches this description.

3) y = -x² - 2

This is a quadratic function, a parabola opening downwards, shifted 2 units down. Graph 1-C matches this description.

Answer Table 1: 1-A, 2-B, 3-C

Section 2:

1) y = 1/x

This is a reciprocal function, similar to the first section but with a positive coefficient. The graph should show two branches, one in the first quadrant and one in the third quadrant, with asymptotes at the x and y axes. Graph 2-A matches this description.

2) y = 2x

This is a linear function with a positive slope passing through the origin. Graph 2-B matches this description.

3) y = x² - 2

This is a quadratic function, a parabola opening upwards, shifted 2 units down. Graph 2-C matches this description.

Answer Table 2: 1-A, 2-B, 3-C

Section 3:

1) y = 6/x

This is a reciprocal function with a positive coefficient, similar to 2-A. The graph should show two branches in the first and third quadrants. Graph 3-A matches this description.

2) y = -2x + 4

This is a linear function with a negative slope and a y-intercept of 4. Graph 3-B matches this description.

3) y = -2x²

This is a quadratic function, a parabola opening downwards, with its vertex at the origin. Graph 3-C matches this description.

Answer Table 3: 1-A, 2-B, 3-C

Note: The tables in the image are filled with handwritten numbers and letters that correspond to the question numbers and graph options. For example, in the first table, '3' is aligned with 'A', '2' with 'B', and '1' with 'C', indicating the matches for the first set of equations.

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