Is the given graph a function?
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Is the given graph a function?
To determine if the graph in question represents a function, we'll employ the Vertical Line Test. This test helps to ascertain whether each input value from the domain (x-values) is connected to a unique output value (y-values).
Thus, the given graph correctly characterizes a function.
Therefore, the solution to the problem is Yes.
Yes
Determine whether the given graph is a function?
The Vertical Line Test checks if a graph represents a function. Draw imaginary vertical lines across the entire graph. If any vertical line touches the graph more than once, it's not a function.
Straight lines (except vertical ones) always represent functions because they have a consistent slope. Each x-value corresponds to exactly one y-value, so no vertical line can intersect twice.
Graphs that curve back on themselves fail the test. Examples include:
No! You just need to visually inspect the graph. If you can see any place where a vertical line would hit the graph twice, it fails the test.
A relation is any set of ordered pairs (x,y). A function is a special relation where each input (x-value) has exactly one output (y-value). All functions are relations, but not all relations are functions!
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