Equations, Inequalities and Graphs Structured Questions | Cambridge O Level Additional Mathematics

Question 1 of 5 · 7 marks

Equations, Inequalities and Graphs · 1 - Modulus Equations & Linear Intersections

2 parts

Additional Mathematics 4037 · Question 1Paper 2 · Calculator[7 marks]

A V-shaped curve has equation $y = |3x - 6|$ and a line has equation $y = 2x + 1$ .

(a)

Solve the equation $|3x - 6| = 2x + 1$ algebraically.

[4]

(b)

On a single set of axes, sketch the graphs of $y = |3x - 6|$ and $y = 2x + 1$ . Label clearly the coordinates of all axis intersections and the exact intersection points of the two graphs.

[3]