Question

The graph represents a functional relationship.

On a coordinate plane, a straight line with a negative slope begins at point (1, 3), crosses the x-axis at (4, 0), and exits the plane at (18, negative 14).

Which value is an input of the function?

Answer 1

An input of a function is the x-coordinate of an ordered pair on its graph. The line graph given crosses the x-axis at (4, 0), making '4' an input of the function. Any x-value between 1 and 18 is also an input of the function.

Step-by-step explanation:

The question asks about the input of a function represented by a straight line on a coordinate plane. An input in a function corresponds to the x-coordinate in an ordered pair on the graph of the function.

To determine the input of the function, we look at the x-coordinate of any given point on the line. For example, the graph of the function crosses the x-axis at the point (4, 0). In this case, '4' is an input of the function because it is the x-coordinate where the function has the value zero.

Based on the information given that the line begins at point (1, 3) and crosses the x-axis at (4, 0), any x-value between 1 and 18 (inclusive) is an input of the function.