Inequality, strictly decreasing, functional equations, differentiation.

[STEP II 2013 Question 8 (Pure)]

Functional relations, differentiation, stationary points, inequality, range, C1.

[STEP II 2013 Question 5 (Pure)]

Range and domain of logarithmic, polynomial, square root, quadratic functions, composition, curve sketching, asymptotes.

[STEP I 2013 Question 8 (Pure)]

Trigonometry, differentiation, increasing, proof.

[STEP II 2011 Question 3 (Pure)]

Curve sketching, taylor series, limits, differentiation, even function.

[STEP III 2009 Question 3 (Pure)]

Curve sketching, trigonometry, exponential function, stationary points, differentiation, approximation, integration, area under curve.

[STEP II 2009 Question 2 (Pure)]

Composition of functions, trigonometry, periodicity, C1.

[STEP II 2007 Question 5 (Pure)]

Range, curve sketching, trigonometric, rational functions, arctan, sine.

[STEP III 2001 Question 4 (Pure)]

Differentiation, maximum, minimum, inequality, trigonometric functions.

[STEP II 1998 Question 7 (Pure)]

Functional equation, non-constnat function, C1.

[STEP II 1994 Question 3 (Pure)]