IB Maths AA SL AA 2.1 Lines, functions and graphs questions

Exam-style questions in the shape of Paper 1 and Paper 2, with full markschemes. Read the markscheme, or type, photograph or draw your answer and get it marked.

Paper

Paper 1, no calculator Paper 2, calculator

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Question 1

Paper 1, no calculatorMedium6 marks

The function $f$ is defined by

f(x)=(x-2)^2+1,\qquad x\geq 2.

(a)

Explain why $f$ has an inverse function.

[1]

(b)

Find $f^{-1}(x)$ stating its domain.

[3]

(c)

Using your answer to (b), determine $(f^{-1}\circ f)(5)$ showing the value of $f(5)$

[2]

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