Form and analyse an inverse relation or function practice questions | Mathematical Methods (Year 12, VCE Units 3 & 4, Logarithmic calculus, Areas, inverse functions and logarithmic models)

(a)6 marks

Form the inverse mapping and state its domain and range

Enter the coordinates of each supplied key point after reflection in \(y=x\)

x-coordinate of swapped point 1 y-coordinate of swapped point 1 x-coordinate of swapped point 2 y-coordinate of swapped point 2 x-coordinate of swapped point 3 y-coordinate of swapped point 3

(b)1 mark

Is the inverse relation a function?

Yes. Each input of the swapped relation has exactly one output

No. An input of the swapped relation has more than one output

(c)1 mark

Choose the domain and range of the inverse mapping

\operatorname{dom}=\left\{-1,\;0,\;1\right\}\qquad\operatorname{ran}=\left\{-1,\;1,\;5\right\}

\operatorname{dom}=\left\{-1,\;1,\;5\right\}\qquad\operatorname{ran}=\left\{-1,\;1,\;5\right\}

\operatorname{dom}=\left\{-1,\;1,\;5\right\}\qquad\operatorname{ran}=\left\{-1,\;0,\;1\right\}