Function notation, domain and range Problem set A Answers

1. (a) 14
2. (b) 10
3. (c) \(x=0\) or \(x=1.67\)

1. (a) \(x\neq5\)
2. (b) \(x\geq-3\)
3. (c) \(x>1\)

1. (a) \(y\geq4\)
2. (b) \(y\leq9\)
3. (c) \(y>3\)

Domain \(-1\leq x<4\)\; range \(-3\leq y\leq6\)

1. (a) £78
2. (b) 30
3. (c) £18 is the fixed charge: the cost of printing no posters.

Domain \(0\leq t\leq4\)\; range \(0\leq h\leq80\)

Domain \(0<x<30\)\; range \(0<A\leq225\)

Domain \(x\geq-3\), \(x\neq1\)\; range \(y\neq0\)

\(-4\leq y\leq21\)