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Flip to reveal answersWhat are the 'key features' of a graph?
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All 10 Flashcards — Key features
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Question
What are the 'key features' of a graph?
Answer
Intercepts, maximum/minimum points, asymptotes, increasing/decreasing intervals, symmetry, and behaviour as x → ±∞.
Question
What is a 'zero' of a function?
Answer
An x-intercept — a value of x where f(x) = 0 (also called a root).
Question
y-intercept vs x-intercept?
Answer
y-intercept: set x = 0. x-intercept (zero/root): set y = 0.
Question
Maximum POINT vs VALUE vs where it occurs?
Answer
Point = coordinates (a, b); value = the y-coordinate b; 'where' = the x-coordinate a. Read the question.
Question
Local vs global maximum?
Answer
Local = highest in its neighbourhood; global = highest over the whole graph.
Question
What is a vertical asymptote?
Answer
A line x = a the curve shoots toward (±∞) — where a denominator is 0.
Question
What is a horizontal asymptote?
Answer
The value y approaches as x → ±∞ (the curve levels off).
Question
What does 'increasing' mean?
Answer
As x increases, y increases — the graph goes up from left to right.
Question
Where is y = x² increasing / decreasing?
Answer
Decreasing for x < 0, increasing for x > 0 — it turns at the vertex (x = 0).
Question
How do you find a max/min on Paper 2?
Answer
Graph it on the GDC and use the maximum/minimum tool to read the coordinates.
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Topic 2.4 hub
Key features of graphs
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