Looking at the graph you can see that the domain of the function is:
Β [0, 3.85]
Β To find the range of the function, we must follow the following steps:
Β Step 1)
Β Evaluate for t = 0
Β h (0) = - 4.87 (0) ^ 2 + 18.75 (0)
Β h (0) = 0
Β Step 2)Β
Β find the maximum of the function:
Β h (t) = - 4.87t ^ 2 + 18.75t
Β h '(t) = - 9.74 * t + 18.75
Β -9.74 * t + 18.75 = 0
Β t = 18.75 / 9.74
Β t = 1.925051335
Β We evaluate the function at its maximum point:
Β h (1.925051335) = - 4.87 * (1.925051335) ^ 2 + 18.75 * (1.925051335)
Β h (1.93) = 18.05
Β The range of the function is:
Β [0, 18.05]
Β Answer:
Β Domain: [0, 3.85]
Β Range: [0, 18.05]
Β option 1
