IB Maths AI SL 2.2 Functions & inverses

IB Mathematics: applications and interpretation guide, first assessment 2021

Students practise finding and interpreting inverses algebraically and graphically, determining domains and ranges, solving f(x) = k or f(x) = x, and explaining inverse values in…

How this is tested

solve h(t) = 2.5 algebraically or read t-coordinate from graph to find h⁻¹(2.5)
state range of h⁻¹ as t ≥ 0 by swapping domain and range of h, noting physical constraint
find f⁻¹(−2) by solving f(x) = −2 or using a table/graph to locate input giving output −2

[Maximum number: 6]

A function is defined by $f(x)=\frac{4}{x}-3$ , for $-6 \leq x \leq 10, x \neq 0$ .

(a)

Find f(10).

[ 1 ]

(b)

Find the range of f.

[ 3 ]

(c)

Find $f^{-1}(-2)$ .

[ 2 ]

How this is tested

Question 6

Question 6(a)

Question 6(b)

Question 6(c)