examday

/TMUA

It is given that $f(x)=-2x^2+10$.

Consider the following three curves:

• (1) $y=f(x)$
• (2) $y=f(x+1)$
• (3) the curve $y=f(x+1)$ reflected in the line $y=6$

The trapezium rule is used to estimate the area under each of these three curves between $x=0$ and $x=1$.

State whether the trapezium rule gives an overestimate or underestimate for each of these areas.