Homework Sourse1 Let X 0 10 and y fx cx with c 0 a What is the slope of
1. 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!)
Solution
a) It is constant. Slope is determined by differentiation of a function. First derivative of F(x) is c. It is constant. Hence, slope is constant.
b) F(x) = c(3) = 3c
c) There is no such value of x.
d) 2x = x2
x =2
If x>2, then g(x) > F(x)
![1. 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) D](/WebImages/19/1-let-x-0-10-and-y-fx-cx-with-c-0-a-what-is-the-slope-of-1040222-1761540220-0.webp "1. 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) D")
