Question

Evaluate the given function for f(2).

Answer 1

Answer: [D]: " 3 " ; [that is; f(2) = 3 ].
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We are asked to:

Evaluate the given function for f(2) ; within the given image.

By examination of the graph, we can verify that the graph is, in fact, a function—by using the vertical line test.
We find that no value for x shares more than one y-value; which means that the graph is a function.

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Note that for a function: f(x) = y .

So; To find f(2) :
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Note: f(2) = the "[ y - coordinate/corresponding value for y ]" ;

⇒ when " x = 2 ".

So; looking at the graph: We see that when " x = 2 " ; → " y = 3 " .
→ {Examine the co-ordinate/point: (2, 3) —that is part of the graph.}

So; f(2) = 3 ; which is Answer choice: [D]: " 3 ."
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Hope this is helpful to you. Best wishes!
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Answer 2

3

Explanation:

You want the value of f(2) for the graphed function.

Function value

The value of the function f(a) is the y-coordinate of the point that has 'a' as its x-coordinate.

Finding the function value requires you locate x=a on the horizontal axis. Where the graph crosses that vertical line, the y-coordinate is the function value.

Application

Here, the vertical line x=2 meets the function graph at the dot with coordinates (2, 3). The y-value there is 3, so ...

f(2) = 3