Please answer number 4 and show the steps
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Hence, solving a, b and c.
To find the intercept of x put f (x) = 0 in f (x) and solve for x.
Similarly, to find the y-intercept put x = 0 in equation (1) and solve for f (0).
Now, to find the minimum and maximum for f (x), find the critical points for f (x).
First differentiate f (x) w.r.t x and get f '(x) and then put f '(x) = 0 and find the value for x.
The value of x will be the critical point.
Then, again differentiate f '(x) w.r.t x and get f ''(x) and then find the value of f ''(1) because x = 1 is the critical point.
As the value of f ''(1) is positive therefore, f (x) will be minimum at x = 1.
Put the value of x in f (x) as 1 and find f (1). f (1) will be the minimum value of f (x).
Now, to find the asymptote observe ...
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