If the initial condition is (0,6) what is the range of the solution curve y=f(x) for xgeqslant 0 Choose 1 answer: A [0,infty ) B [0,6] C (4,6]

Step 1: Understand the question and given information. We are given a Cartesian coordinate system with the range of x values as (-2,10) and the range of y values as (-4,8). The initial condition is (0,6). We need to find the range of the solution curve y=f(x) for x ≥ 0.Step 2: Analyze the initial condition.The initial condition is (0,6), which means when x=0, y=6. Step 3: Determine the range of the solution curve.Since we are looking for the range of y=f(x) for x ≥ 0 and the initial condition is at y=6, the range of the solution curve must start from 6. Step 4: Check the options.(A) [0, ∞) - This option suggests that the range starts from 0, but our initial condition starts at 6.(B) [0,6] - This option suggests that the range ends at 6, which is possible since our initial condition is at 6.(C) (4,6] - This option suggests that the range starts from a number greater than 4 and ends at 6, which is not possible since our initial condition starts at 6.Step 5: Choose the correct answer.From the analysis, the correct answer is (B) [0,6]. The range of the solution curve y=f(x) for x ≥ 0 is [0,6].