restricted domain

Practise restricted domain with an original VectorPaths question, worked explanation and related VCE Methods practice.

1 practice marks

Original practice question

Which one of the following is not true for the function $f: R \to R$, $f(x) = (x - 2)^2 + 3$?

Worked explanation

  • Verify each option

    \[f(x) = (x-2)^2 + 3 \geq 3 > 0 \text{ for all } x\]

D

Original VectorPaths practice; not an official VCAA question or marking rubric.