12. The function Fis defined as following
X IF X > 2
F(x) = 2 IF-2< X 52
X+4 IF XS-2
Sketch the graph of F(x)
ii) Determine the domain and range of (F(X)
i)
13 (a) Find the inverse of R = {(x, y): y = 3x -2}
And hence determine its domain and range
(b)Draw the graph of R
If R = {(x, y): x + y 2 and x - y <4}

Suppose there is a simple index of three stocks, stock abc, stock xyz, and stock qrs. stock abc opens on day 1 with 4000 shares at $3.15 per share. stock xyz opens on day 1 with 5000 shares at $4.30 per share. stock qrs opens on day 1 with 6000 shares at $4.60 per share. the price of stock abc on day 8 begins at $3.50. the price of stock xyz on day 8 begins at $3.90. stock qrs opens on day 8 with a price of $4.50 per share. assume that each stock has the same number of shares that it opened with on day 1. what is the rate of change of this simple index over 1 week?

Identify a1 and r for the geometric sequence an= -256(-1/4) n-1

Acompany that manufactures and sells guitars made changes in their product range. from the start they had 20 models. then they reduced the number of models to 15. as a result, the company enjoyed a 10% increase in turnover. - how much did the stock level change? in (%)