Let X ∈ [0, 10] and y = f(x) = cx with c > 0.
a) What is the slope of f(x)? Is it constant or it depends on x?
b) What is the value of f(x) when x = 3?
c) Define g(x) = bx where b > 0 and b < c. What values of x makes g(x) = f(x).
d) Suppose c = 2 and define g(x) = x^2 . For what values of x we have g(x) > f(x)? (Be precise!)