Science:Math Exam Resources/Courses/MATH100 B/December 2024/Question 11 (d)/Solution 1

From the sketch, we see $y(x)$ is concave down. That means its tangent lines lie above the curve, so linear approximations produce over approximations. Hence, the first step of Euler's method produces an over approximation. Additionally, $y(x)$ is increasing, so an initial over approximation plus a linear approximation will produce an over approximation in the second step as well.