function evaluation

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

1 practice marks

Original practice question

Given $g: \mathbb{R} \to \mathbb{R}$, $g(x) = 3x^2 + x + 1$. Find the value of $g(-2)$.

Worked explanation

  • Substitute x = -2 into f(x)

    \[f(-2) = 3(-2)^2 + (-2) + 1\]

  • Calculate the result

    \[f(-2) = 11\]

11

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