Determine whether the given graph is a function?
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Determine whether the given graph is a function?
It is important to remember that a function is an equation that assigns to each element in domain X one and only one element in range Y
We should note that for every X value found on the graph, there is one and only one corresponding Y value.
Therefore, the graph is indeed a function.
Yes
Determine whether the following table represents a constant function:
The vertical line test is a visual way to check if a graph represents a function. Draw imaginary vertical lines through the graph - if any vertical line crosses the curve more than once, it's not a function.
Looking at this curve, every vertical line you could draw would intersect it at exactly one point. This means each x-value corresponds to only one y-value, satisfying the function definition.
Graphs like circles, sideways parabolas, or any curve where you can draw a vertical line that hits two or more points would fail the test and not be functions.
Yes! Every function is a relation, but not every relation is a function. A function is a special type of relation where each input has exactly one output.
Absolutely! Multiple x-values can share the same y-value. The restriction is only that each x-value must map to exactly one y-value, not the other way around.
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