A certain function is defined as “multiply the input by negative one half, then add 3.”

To represent the function defined as “multiply the input by negative one half, then add 3,” we can express the function mathematically. If we let \( x \) be the input, the function can be written as:

\[ f(x) = -\frac{1}{2}x + 3 \]

This equation represents a linear function in the slope-intercept form \( y = mx + b \), where \( m \) is the slope and \( b \) is the y-intercept. In our case:

• The slope \( m = -\frac{1}{2} \) indicates that the line will fall as you move from left to right (since the slope is negative).
• The y-intercept \( b = 3 \) tells us that the line crosses the y-axis at the point (0, 3).

To find the graph that represents this function, look for a line that:

1. Has a y-intercept at (0, 3).
2. Slopes downward as you move from left to right, meaning for every 2 units you move to the right, you would move 1 unit down.

If you can provide me with the images or more descriptions of the graphs, I can help you determine which one matches the function.