The function h(t) = −5t2 + 15t shown in the graph models the supporting structure of a bridge:
graph of parabola starting at zero comma zero, rising from the left to about one and one half comma 11, and falling to the right, ending at 3 comma zero
what is the domain of h(t)?
all real numbers
0 ≤ x ≤ 11
0 ≤ x ≤ 3
x ≥ 0

"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".

the equation is not included but the answer is (1.50, 2.00, 2.75)

step-by-step explanation: