To find the domain of the function \( f(t) = t^2 - 64 \), we need to determine the set of all possible values of \( t \) for which the function is defined.

Since \( f(t) = t^2 - 64 \) is a polynomial function, and polynomial functions are defined for all real numbers, the domain of \( f(t) \) is all real numbers.

**Domain:** \( \mathbb{R} \) (which means \( (-\infty, \infty) \)).

Would you like further details or have any questions?

Here are five related questions:

1. What is the range of the function \( f(t) = t^2 - 64 \)?
2. How do you find the zeros of \( f(t) = t^2 - 64 \)?
3. What is the vertex of the function \( f(t) = t^2 - 64 \)?
4. How would the domain change if the function were \( f(t) = \sqrt{t^2 - 64} \)?
5. How can you graph the function \( f(t) = t^2 - 64 \)?

**Tip:** When dealing with polynomial functions, their domain is always all real numbers unless there's a restriction like a square root or a denominator that could make the function undefined.

Learn how to find the domain of the function f(t) = t^2 - 64. Understand that polynomial functions like f(t) = t^2 - 64 are defined for all real numbers. Suitable for students in Grades 7-9.

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