The statement in the image reads: "The y-intercept of the graph of the function $y = f(x)$, whose domain is all real numbers, is $f(0)$."

This statement is true.

Explanation:

The y-intercept of a function is the point where the graph crosses the y-axis. This occurs when $x = 0$. Thus, the y-coordinate of the y-intercept is given by evaluating the function at $x = 0$, which is $f(0)$. So, if the domain of the function includes $x = 0$, the y-intercept is indeed $f(0)$.

Would you like any further clarification?

Related Questions:

1. What happens if the domain of $f(x)$ does not include $x = 0$?
2. How do you find the x-intercepts of a function?
3. Can a function have more than one y-intercept?
4. What is the y-intercept for linear functions like $y = mx + b$?
5. How can you determine intercepts for more complex functions (e.g., polynomials, rational functions)?

Tip:

Always check whether a function’s domain includes $x = 0$ before assuming that the y-intercept is $f(0)$.