Let f be a real-valued function defined on [0,∞), with the properties: f is continuous on [0, ∞), f(0) = 0

f ..1 exists on (0, ∞), and f ..1

0 is monotone increasing on (0,∞).

Let g be the function given by: g(x) = f(x)

for x ∈ (0, ∞).

How do I prove that g is monotone increasing on (0,∞)?

The equation shown below represents function f. f(x)= -2x+5 the graph shown below represents function g. which of the following statements is true? a. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is less than the y-intercept of function g. b. over the interval [2, 4], the average rate of change of f is greater than the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. c. over the interval [2, 4], the average rate of change of f is the same as the average rate of change of g. the y-intercept of function f is greater than the y-intercept of function g. d. over the interval [2, 4], the average rate of change of f is less than the average rate of change of g. the y-intercept of function f is the same as the y-intercept of function g.