Questions: Which of the following are true of F(x) ? y is equal to F(x) F(x) is read as "F of x" F(x) is the graph at a particular value of x. F(x) is the horizontal distance on the graph. F(x) is a whole number.

Solution Steps

To determine which of the statements about \( F(x) \) are true, we need to understand the basic properties and definitions of a function \( F(x) \).

1. \( y \) is equal to \( F(x) \): This is true if \( y \) represents the output of the function \( F \) when \( x \) is the input.
2. \( F(x) \) is read as " \( F \) of \( x \)": This is a standard way to read the notation \( F(x) \).
3. \( F(x) \) is the graph at a particular value of \( x \): This is not accurate; \( F(x) \) represents the value of the function at \( x \), not the graph itself.
4. \( F(x) \) is the horizontal distance on the graph: This is incorrect; \( F(x) \) represents the vertical value (output) of the function at \( x \).
5. \( F(x) \) is a whole number: This is not necessarily true; \( F(x) \) can be any real number depending on the function.

The statement \( y \) is equal to \( F(x) \) is true if \( y \) represents the output of the function \( F \) when \( x \) is the input. This is a standard definition in mathematics where \( y = F(x) \).

The statement \( F(x) \) is read as " \( F \) of \( x \)" is true. This is the conventional way to read the notation \( F(x) \).

The statement \( F(x) \) is the graph at a particular value of \( x \) is false. \( F(x) \) represents the value of the function at \( x \), not the graph itself.

The statement \( F(x) \) is the horizontal distance on the graph is false. \( F(x) \) represents the vertical value (output) of the function at \( x \), not the horizontal distance.

The statement \( F(x) \) is a whole number is false. \( F(x) \) can be any real number depending on the function, not necessarily a whole number.

Final Answer