The image shows a set of mathematical questions, with a mix of correct and incorrect responses on a computer interface. Let's address the incorrect response and clarify what might have gone wrong.

The error occurs in Part 6 of 8, which asks to:

• (f) Determine the y-intercept(s) of $f(x)$.

Your answer was given as $(0, 0)$, but the system shows the correct answer is $(0, -3)$. The y-intercept is where the function crosses the y-axis, which happens when $x = 0$. So, the correct value of $f(0)$ is $-3$, not 0. This is likely based on the function rule of $f(x)$, which was not fully visible in the image.

The rest of your responses are correct:

• You found the correct values for $f(-4)$, $f(3)$, the zeros of $f(x)$, and the x-intercepts.
• The domain is correctly given as $(-\infty, \infty)$, which means the function is defined for all real numbers.

Do you need further clarification or a breakdown of any specific part?

Here are five related questions to deepen understanding:

1. What is the general method to find the y-intercept of a function?
2. How can you verify the zeros of a function using a graph or algebraically?
3. How does the range of a function relate to its graph?
4. Can a function have more than one y-intercept? Why or why not?
5. What changes in the domain of a function would restrict its range?

Tip: Always substitute $x = 0$ to find the y-intercept, ensuring accuracy when evaluating $f(0)$.