What can you say about the area under each function on the two cards below, between \(x=1\) and \(x=2\)?

Which is greater?

(a) \[f(x)=\left(4-x^2\right)^{\frac{1}{2}}\]


f of x is 2 over square root 1 plus bracket x minus 1.5 close bracket squared.
  • What’s the same and what’s different about these two functions?

  • How might this affect your approach if you wanted to calculate the area under each?