The graphs of two functions are shown. Which characteristics do these functions have in common? Select two options: range, domain, minimum, x-intercept, y-intercept.

Mathematics · Middle School · Thu Feb 04 2021

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 To compare the characteristics of the two functions based on their graphs, we must examine each of the options listed. Unfortunately, without the visual representation of the graphs, I can't provide an exact answer to the specific functions you're referring to. However, here is how you would generally analyze each of the characteristics given in the options:

1. Range: This is the set of all output values (y-values) a function can take. If the graphs of both functions stretch from the same lowest y-value to the same highest y-value, they have the same range.

2. Domain: This is the set of all input values (x-values) for which the functions are defined. If both functions are continuous over the same interval on the x-axis, they have the same domain.

3. Minimum: A function's minimum point is the lowest point on its graph. Two functions can share the same minimum value if this lowest y-value is the same for both, assuming they have a clear minimum.

4. X-intercept: This is the point where the graph of the function crosses the x-axis (where y=0). If both graphs cross the x-axis at the same points, then they have the same x-intercepts.

5. Y-intercept: This is the point where the graph of the function crosses the y-axis (when x=0). If both graphs cross the y-axis at the same point, then they have the same y-intercept.

To determine which characteristics the two functions have in common, you would look at their graphs and compare them based on the above information.