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

Determine the inverse of the stated relation

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?

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

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

(c)1 mark

Choose the domain and range of the inverse mapping

\operatorname{dom}=\left\{-4,\;4,\;6\right\}\qquad\operatorname{ran}=\left\{-1,\;0,\;1\right\}

\operatorname{dom}=\left\{-1,\;0,\;1\right\}\qquad\operatorname{ran}=\left\{-4,\;4,\;6\right\}

\operatorname{dom}=\left\{-4,\;4,\;6\right\}\qquad\operatorname{ran}=\left\{-4,\;4,\;6\right\}