The statement which is true regarding the graphed function f(x) is given by: Option B: [tex]f(5) = -1[/tex]
How do we make graph of a function?
Suppose the considered function whose graph is to be made is [tex]f(x)[/tex]
The values of 'x' (also called input variable, or independent variable) are usually plotted on horizontal axis, and the output values [tex]f(x)[/tex] are plotted on the vertical axis.
They are together plotted on the point [tex](x,y) = (x, f(x) )[/tex]
This is why we usually write the functions as: [tex]y = f(x)[/tex]
Evaluating the output value of the function from the given graph for each of the options listed, we get:
At x = 0, we see the line of the graph that's above x = 0 is in equal height to y = 4
Thus, f(0) = 4
At x = 5, we see the line of the graph that's above x = 5 is in equal height to y = -1
Thus, f(5) = -1
It is same as in the second option. Thus, second option is correct.
At x = 3, we see the line of the graph that's above x = 3 is in equal height to y = 1
Thus, f(3) = 1
At x = 2, we see the line of the graph that's above x = 2 is in equal height to y = 2
Thus, f(2) = 2
Therefore, only second option is correctly describing the output of the function at its considered input value.
Thus, the statement which is true regarding the graphed function f(x) is given by: Option B: [tex]f(5) = -1[/tex]
Learn more about graphing functions here:
https://brainly.com/question/11209570
