AS Level Math

Find the vertex of x² +5x +4.

• (1, 10)

• (2,5, 22.75)

• (-2.5, -2.25)

• (-2.5, 2.25

Solve x²- 4x+ 3 > 0

• 1< x < 3

• 1 < x < 4

• x < 1, x >4

• x < 1, x >3

f(x)=(x−4)²−1  for x∈ℝ, g(x)=(2x+3)/(x-2)   for  x∈R,x>2. find fg(4)

• 11/4

• 5/4

• 3/2

• -1/4

f(x)=√(x+2)-7, what is f^-1 x

Find the equation of the line joining (2, 4) to (5, 3).

The graphs of f and f⁻¹ are -------------------- of each other in the line ----------------.

Find the co-ordinates of the two points where the line y- 3x = 2 intersects the curve y = 2x ².

• (2,8) , (1/2, 1/2)

• (8, 2), (1/2, 1/2)

• (2, 8) , (1/3, 1/3)

How many terms are there in the sequence 11, 15, 19, ... , 643?

• 100

• 119

• 129

• 159

• 209

Find the sum of the terms of the infinite progression 0.2, 0.02, 0.002, ....

• 2/7

• 2/9

• 3/8

• 4/9

Find dy/dx when y = ( x² -2)⁴

• 8x²( x² -2)⁴

• 4.x²( x² -2)⁴

• 4( x² -2)³

• 8x( x² -2 )³