Composite & inverse from a graph
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Flip to reveal answersHow do you read f(a) off a graph?
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All 5 Flashcards — Composite & inverse from a graph
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Question
How do you read f(a) off a graph?
Answer
Go up from x = a to the curve, then across to the y-axis.
Question
How do you read (f∘f)(a) off a graph?
Answer
Read f(a), then read f of that result — two read-offs, inside first.
Question
How do you read f⁻¹(b) off the graph of f?
Answer
Start at y = b on the y-axis, go across to the curve, then down to the x-axis.
Question
How do you sketch y = f⁻¹(x) from y = f(x)?
Answer
Reflect the graph in the line y = x; every point (a, b) becomes (b, a).
Question
What happens to intercepts under f → f⁻¹?
Answer
They swap: a y-intercept (0, k) becomes an x-intercept (k, 0), and vice versa.
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Full study notes for Composite & inverse from a graph
Topic 2.5 hub
Composite & inverse functions
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