The image provided displays a graph of the function $f(x)$ and a series of questions regarding the function's values at specific points. Let's break down and confirm the steps:

Part (a): Find $f(-14)$ and $f(-4)$

• From the graph:
  • $f(-14) = -4$
  • $f(-4) = 4$

Part (b): Find $f(12)$ and $f(0)$

• From the graph:
  • $f(12) = 4$
  • $f(0) = -2$

Part (c): Is $f(4)$ positive or negative?

• Looking at the graph at $x = 4$, we see that the function crosses the x-axis and is located below it. Therefore, $f(4)$ is negative.

The correct response to (c) would be:

• $f(4)$ is Negative.

Would you like more details on these calculations or have any additional questions?

Follow-up questions:

1. What is the behavior of $f(x)$ as $x$ approaches infinity?
2. What are the x-intercepts of the function?
3. How many turning points does the function have?
4. At which points does the function achieve a local maximum or minimum?
5. What is the symmetry of the function, if any?

Tip:

When interpreting graphs, always check for clear intersections with the x-axis, y-axis, and turning points for better understanding of function behavior.