Question

Use The function f(x) is graphed below.

Answer 1

Answer: Last option.

Step-by-step explanation:

We know that input values of a function are the values of the variable "x" and output values of a function are the values of the variable "y".

By definition, in functions each input value have one and only one output value.

Then, find $f(6)$ you can see that the input value is $x=6$ and you need to find the corresponding ouput value (or "y")

You can observe in the figure attached that the value of "y" for  $x=6$ is  $y=w$, obtaining the point (6,2)

Therefore:

$f(6)=2$

This matches with the last option.

Answer 2

Answer:

f(6) = 2

Step-by-step explanation:

Since y is a function of x, that is y = f(x), f(6) implies that we shall be evaluating the value of y when the value of x is 6.

To do this we shall draw a vertical line, x = 6 and check where this line intersects with the graph of the function f(x)

The vertical line x = 6 intersects with the graph of the function f(x) on the horizontal line y = 2. The function f(x) assumes the value 2 for values of x between 4 and 8. Therefore,  f(6) = 2