Determine whether f(x) .... is continuous, piecewise continuous, or neither on [0,10] and sketch the graph of f(t).

Question

Answer 1

We just have to examine t → 1 from above and below to see that f is continuous. The graph is a flat straight line between (0,1) and (1,1) whose east end touches the bottom point of a parabola (t,(t – 2)²) that descends from (1,1) down to (2,0), then increases up to the east to (10,64).

Answer 2

We just have to examine t → 1 from above and below to see that f is continuous. The graph is a flat straight line between (0,1) and (1,1) whose east end touches the bottom point of a parabola (t,(t – 2)²) that descends from (1,1) down to (2,0), then increases up to the east to (10,64).