Curve sketching

Cubic equations, intersection, C1.

[STEP I 2007 Question 8 (Pure)]

Vertical and oblique asymptotes, roots of equations, C1.

[STEP III 2006 Question 1 (Pure)]

Trigonometric, modulus functions, solution to equations, general solution.

[STEP III 2005 Question 1 (Pure)]

Vertical and oblique asymptotes, tangent, double root.

[STEP III 2004 Question 2 (Pure)]

Nature of stationary point, differentiation, C1.

[STEP II 2004 Question 3 (Pure)]

Integration, integer part, floor function, square root, sum.

[STEP I 2004 Question 2 (Pure)]

Reciprocal function, differentiation, C1.

[STEP III 2003 Question 3 (Pure)]

Square root function, inequality, roots.

[STEP III 2002 Question 3 (Pure)]

Intersection with line, area under curve, integration, volume of revolution.

[STEP I 2002 Question 4 (Pure)]

Differentiation, stationary point, maximum, minimum, C1

[STEP I 2002 Question 2 (Pure)]