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МатематикаВопрос:
Match the formulas with their graphs.
Ответ:
Based on the image, let's analyze the graphs and match them with the given formulas.
The formulas are:
- A) $$y = \frac{12}{x}$$
- B) $$y = -\frac{12}{x}$$
- C) $$y = \frac{1}{12x}$$
And the graphs are numbered 1, 2, and 3.
Now, let's match them:
- Graph 1: This graph is a hyperbola in the first and third quadrants. This corresponds to a positive value of y for positive x, and a negative value of y for negative x. This matches the formula A) $$y = \frac{12}{x}$$.
- Graph 2: This graph is a hyperbola in the second and fourth quadrants. This corresponds to a negative value of y for positive x, and a positive value of y for negative x. This matches the formula B) $$y = -\frac{12}{x}$$.
- Graph 3: This graph is a hyperbola in the first and third quadrants, similar to Graph 1, but it appears to be "compressed" closer to the axes. This implies a larger denominator, matching the formula C) $$y = \frac{1}{12x}$$.
Therefore, the matching is as follows:
- A) $$y = \frac{12}{x}$$ - Graph 1
- B) $$y = -\frac{12}{x}$$ - Graph 2
- C) $$y = \frac{1}{12x}$$ - Graph 3
