Question 5

You MAY NOT use a calculator to solve this question.

Let ƒ be the function given by ƒ(x) = 2x⁴ - 4x² + 1.

(a) Find an equation of the line tangent to the graph at (-2, 17).

(b) Find the x- and y-coordinates of the relative maxima and minima. Verify your answer.

(c) Find the x- and y-coordinates of the points of inflection. Verify your answer.

Solution