I’ll analyze the problem and solve it step by step. Given function: (i) Continuity of A function is continuous at if: Let’s check these limits: • Left-hand limit (): Using , • Right-hand limit (): Using , • Function value at : Since all values match, is continuous on . (ii) Differentiability of A function is differentiable at if: exists from both sides. • Left-hand derivative: • Right-hand derivative: Since , is not differentiable at . Thus, is not differentiable on . (iii) Maximum and Minimum values on Find at critical points. • Derivative for : Setting : . • Derivative for : , which is always positive. This means is increasing for . Check values at endpoints: • • (already found) • Max value: at Min value: at (iv) Graph on To plot: • Use for , which is a downward-facing parabola. • Use for , which is a straight line with slope . Would you like a visual graph plotted?