Revision Sheet Solutions
Question 10
Discriminant – FORMULA NOT ON FORMULA SHEET
∆= 𝑏 2 − 4𝑎𝑐
2 solutions ∆ > 0
1 solution ∆ = 0
0 solutions ∆< 0
3𝑥 2 − 2𝑐𝑥 + 4 = 0 ∴ −2𝑐 2 − 4 × 3 × 4 = 0
4𝑐 2 − 48 = 0
Rearrange to solve for 𝑐
𝑐 = ± 12
𝑐 = ±2 3
Question 11
Domain (x)
(−∞, ∞)
Range (y)
[0, ∞)
Question 13
Sketch both
equations on the
calculator and use
G-Solve to find the
intersecting
coordinate points.
May need to zoom
out.
Question 15  𝑓(𝑥) is the same as 𝑦
Substitute 𝑥 = 1 to
both equations to
determine the possible
values.
Use <> 𝑜𝑟 ≤≥ to
determine open and
closed circles
Question 16
Expand (3𝑥 + 4)4 , showing all work. Once expanded find the
value of the 4th term if 𝑥 = 4.
MUST SHOW ALL STEPS FROM BINOMIAL THEOREM TO GET
FULL MARKS
Question 18
Use a graphics calculator to determine the x int, y int, turning point and
domain and range of the following functions.
𝑦 =4 𝑥+2 2−1
Use G-Solve on calculator
𝑥 − 𝑖𝑛𝑡𝑠 = 𝑅𝑂𝑂𝑇
𝑦 − 𝑖𝑛𝑡 = 𝑦 − 𝑖𝑛𝑡
𝑇𝑢𝑟𝑛𝑖𝑛𝑔 𝑃𝑜𝑖𝑛𝑡 = min 𝑜𝑟 max 𝑑𝑒𝑝𝑒𝑛𝑑𝑖𝑛𝑔 𝑜𝑛 𝑠ℎ𝑎𝑝𝑒