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