Specialist2024 NHT Exam 1 · Q3Tech-free3 marks

Points of inflection and concavity of a quartic

Find the coordinates of the points of inflection of the graph of $y = x^4 - 6x^2 + 4$ .

2 marks

Hints, answer checking and worked solutions come with a Season Pass.

Hence, or otherwise, find all values of $x$ for which the graph of $y = x^4 - 6x^2 + 4$ is concave up.

1 mark

Hints, answer checking and worked solutions come with a Season Pass.