function evaluation

Practise function evaluation with an original VectorPaths question, worked explanation and related VCE Methods practice.

1 practice marks

Original practice question

Given $h: \mathbb{R} \to \mathbb{R}$, $h(x) = -x^2 + x + 1$. Find the value of $h(-2)$.

Worked explanation

  • Substitute x = -2 into f(x)

    \[f(-2) = -(-2)^2 + (-2) + 1\]

  • Calculate the result

    \[f(-2) = -5\]

-5

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