Curve sketching

Integer part, floor function, sum, limit, C1-ish.

[STEP II 2001 Question 2 (Pure)]

Rational function, algebraic, intersection, oblique asymptote, C1-ish.

[STEP III 2000 Question 4 (Pure)]

Reciprocal and hyperbola functions, tangent, square, coordinate geometry, C1.

[STEP III 2000 Question 1 (Pure)]

Factorisation, inequality, coordinate geometry, circles and lines, C1.

[STEP I 2000 Question 6 (Pure)]

Transcendental equation, inequality, roots of equation, differentiation.

[STEP III 1999 Question 2 (Pure)]

Differentiation, stationary points, C1.

[STEP II 1999 Question 7 (Pure)]

Modulus function, inequality, C1.

[STEP I 1999 Question 4 (Pure)]

Differentiation, stationary points, statistical physics, integral.

[STEP III 1998 Question 7 (Pure)]

Trigonometry, differentiation, stationary points.

[STEP III 1998 Question 1 (Pure)]

Logarithmic and exponential function, maximum, differentiation, root of equation, C1.

[STEP III 1997 Question 2 (Pure)]