Question

Which of the following are true of F(x)?

F(x) is read as “F of x”
F(x) is the horizontal distance on the graph.
F is the graph at a particular value of x.
F(x) is a whole number.
y is equal to F(x)

Answer 1

F(x) is read as "F of x"
y is equal to F(x)
F is the graph at a particular value of x

Answer 2

Answer: The correct options are

(A) F(x) is read as “F of x”.

(C) F is the graph at a particular value of x.

(E) y is equal to F(x).

Step-by-step explanation: We are given to select the statements that are TRUE for the function F(x).

We know that F(x) represents a function of x, which is usually read as "F of x".

So, option (A) is correct.

If we plot F(x) on the two-dimensional co-ordinate plane, the x-values are plotted on the X-axis and F(x) values are plotted on the Y-axis.

So, y = F(x). Option (E) is correct.

Since F(x) is the value of the graph at a particular value of x, so F is the graph at a particular value of x.

Therefore, option (C) is correct.

Since F(x) is the vertical distance in the graph, so option (B) is incorrect.

Also, F(x) can be any real number, not necessarily a whole number.

So, option (D) is incorrect.

For example, F(x) = (x + 4) is a function of x. The function is shown on a graph paper in the attached figure.