Infer primitive curves from a gradient function practice questions | Mathematical Methods (Year 11, VCE Units 1 & 2, Anti-differentiation and integrals, Gradient functions and motion)

(a)2 marks

Enter +1 for positive g (F increasing) or −1 for negative g (F decreasing), on each open interval. Infinity labels describe unbounded intervals

(-infinity, 2) (2, infinity)

(b)1 mark

Classify the stationary point of F at x = 2

local maximum

not stationary

stationary inflection

local minimum

(c)1 mark

Select the complete family of primitives. C is an arbitrary real constant

F(x)=-x^{2}+4x+C

F(x)=-x^{2}+4x

F(x)=-2x+4+C

F(x)=x^{2}-4x+C

(d)1 mark

What is the degree of the primitive polynomial?

2

4

3

0