Match the function graphs with their equations.

Question

Вопрос:

Match the function graphs with their equations.

Ответ:

ФИО:Телефон:Емаил:Полное описание сути нарушения прав (почему распространение данной информации запрещено Правообладателем):

Accepted Answer

Explanation:

Logic: We need to analyze the graphs and equations provided to find the correct pairings. Linear functions (like y = -3x and y = 3x) have straight lines, while reciprocal functions (like y = 3/x and y = -3/x) have hyperbolas. The position and orientation of these graphs depend on the constants in their equations.

Matching:

Graph 1 (linear, negative slope) matches equation 2: y = -3x
Graph 2 (reciprocal, positive quadrant I and negative quadrant III) matches equation 3: y = 3/x
Graph 3 (linear, positive slope) matches equation 4: y = 3x
Graph 4 (reciprocal, negative quadrant II and positive quadrant IV) matches equation 1: y = -3/x

Final Answer: 1-Г, 2-А, 3-Б, 4-В (Note: The labels A, B, V, G are inferred from the visual layout and Russian alphabetical order. Assuming the top left graph is A, top right is B, bottom left is V, and bottom right is G).