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Thriving Scholars TMUA Full Mock Test 1 Paper 1 · Q16

Paper 1Logic & proofCalculusFunctions & graphs

Let gg be a function with first derivative given by g′(x)=∫0xe−t2dtg'(x)=\displaystyle\int_0^xe^{-t^2}\dd t. Which of the following must be true on the interval 0<x<20<x<2?

Agg is increasing, and the graph of gg is concave up.
Bgg is increasing, and the graph of gg is concave down.
Cgg is decreasing, and the graph of gg is concave up.
Dgg is decreasing, and the graph of gg is concave down.
Egg is decreasing, and the graph of gg has a point of inflection on 0<x<20<x<2.

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