Answer:
"All real numbers"
Step-by-step explanation:
The domain of a function is the set of x-values that the function is defined for. The set of x-values for which the function has y-values.
Allowed x-values, basically.
Looking at the graph, we would initially think the x values for which there is a function drawn would be from x= 0 to x = 3, but we must remember that this is a continuous function so it stretches upwards and downwards, both. So the set of x-values for which the function is defined is "set of all real numbers".
Normally, a function in the form f(x) = ax^2 + bx, where and b are real numbers, will be a parabola whose domain would be all real numbers.
The function h(t) is in such form, so the domain is "all real numbers".