Question

label the image below:

\\f(x) = x - 5\\

input value
output value
function name

Explanation:

Identify the components of function notation

Using the Definition of a Function knowledge point
In the standard function notation \(f(x) = y\):

• The letter \(f\) represents the name of the function.
• The variable \(x\) inside the parentheses represents the input value.
• The expression on the other side of the equation, \(x - 5\), represents the output value.

Match the labels to the diagram

• The top arrow points directly to the variable \(x\) inside the parentheses of \(f(x)\). Therefore, this box must be labeled Input Value.
• The bottom-left arrow points to the letter \(f\) in \(f(x)\). Therefore, this box must be labeled Function Name.
• The bottom-right bracket groups the entire expression \(x - 5\), which represents the resulting value of the function. Therefore, this box must be labeled Output Value.

Answer:

• Top box (pointing to \(x\)): Input Value
• Bottom-left box (pointing to \(f\)): Function Name
• Bottom-right box (pointing to \(x - 5\)): Output Value