The function you provided is:

$f(x) = -x$

This is a linear function, where the slope is -1 and the y-intercept is 0.

Key Features:

• Slope (m): -1 (which means for every unit increase in $x$, the value of $f(x)$ decreases by 1)
• Y-intercept: 0 (the function crosses the y-axis at $(0, 0)$)
• Graph: The graph of $f(x) = -x$ is a straight line with a negative slope.

Questions:

1. How do you find the x- and y-intercepts of a linear function like this?
2. How would you graph this function on a coordinate plane?
3. What does the negative slope signify in terms of the relationship between $x$ and $f(x)$?
4. What happens to the value of $f(x)$ as $x$ increases?
5. How would you determine the slope of a line given two points?

Tip:

For linear functions of the form $f(x) = mx + b$, the slope $m$ determines the steepness and direction of the line, while $b$ represents the y-intercept (where the line crosses the y-axis).