Rational Functions and Graphs

Worked examples (6)

• 1Vertical and horizontal asymptotes
• 2Oblique asymptote by division
• 3Range using the discriminant
• 4Range with an excluded interval
• 5A complete labelled sketch
• 6Solving an inequality from the graph

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6

Worked examples (6)

• 1Sketching y = |f(x)|
• 2Sketching y = f(|x|)
• 3Sketching y² = f(x)
• 4Sketching y = 1/f(x)
• 5Modulus of a rational function
• 6y² = f(x) for a quadratic f

Model answers (6)

• ✓Model answer 1
• ✓Model answer 2
• ✓Model answer 3
• ✓Model answer 4
• ✓Model answer 5
• ✓Model answer 6