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Using the graph of f. determine f(3) Is f a relation or a function?

Using the graph of f. determine f(3) Is f a relation or a function?-example-1
User Christian Dalager
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1 Answer

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ANSWER

f(3) = -2

f is a function

Step-by-step explanation

To find the value of f when x = 3 from the graph we have to draw a vertical line from x = 3 to the graph:

And then a horizontal line from the point of the graph where the first line touches it, to the y-axis:

The value of y where the orange arrow meets the y-axis is the value of the function when x = 3.

We found that f(3) = -2

To know if f is a relation or a function we can do the vertical line test. It consists on drawing a vertical line and if that line touches the graph of f in more than one point then it is not a function:

Therefore f is a function.

Using the graph of f. determine f(3) Is f a relation or a function?-example-1
Using the graph of f. determine f(3) Is f a relation or a function?-example-2
Using the graph of f. determine f(3) Is f a relation or a function?-example-3
User Ewerton
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2.6k points