Question 6 (10 marks) Consider the function f(x)=1+e". (a) Find the coordinates of the x- and y-intercepts, if they exis

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Question 6 10 Marks Consider The Function F X 1 E A Find The Coordinates Of The X And Y Intercepts If They Exis 1 (26.2 KiB) Viewed 53 times

Question 6 (10 marks) Consider the function f(x)=1+e". (a) Find the coordinates of the x- and y-intercepts, if they exist. (b) Using appropriate algebra or calculus, show that f(x) is decreasing for all real x (c) Find /"(x) and hence explain why f(x) is concave up for all real x. (d) Sketch the graph of y=f(x). (e) Write down the equation of the horizontal asymptote of the graph drawn in (d) above. [2 marks] [2 marks] [2 marks] [3 marks] [1 mark]