Topic explanation

Standard explanation

Zeros give x-intercepts; denominator zeros mark exclusions and possible vertical asymptotes.

Key points

• Polynomial and rational graphs
• rule
• worked example
• Polynomial and rational graphs: Zeros give x-intercepts; denominator zeros mark exclusions and possible vertical asymptotes.
• CONCEPT AND RULE: Zeros give x-intercepts; denominator zeros mark exclusions and possible vertical asymptotes.
• METHOD: For polynomial and rational graphs, identify the given information and required result. Select the m
• Zeros give x-intercepts; denominator zeros mark exclusions and possible vertical asymptotes.
• Worked pattern: For x+1x-2, x=-1 is a zero and x=2 is a vertical asymptote.

Labelled diagram