Hi, can I have some help with these questions I am not sure how to solve.
3. Given that f(x) = 1/x, x not equal to 0:
. . .(a) sketch the graph of y = f(x) + 3 and state the equations of the asymptotes.
. . .(b) Find the coordinates of the point where y = f(x) + 3 crosses a coordinate axis.
4. The equation 2x^2 - 3x - (k + 1) = 0, where k is constant, has no real roots. Find the set of possible values of k.
6. The curve C has the equation y = f(x), x not equal to 0, and the point P(2, 1) lies on C. Given that f'(x) = 3x^2 - 6 - 8/(x^2),
. . .(a) find f(x).
. . .(b) Find an equation for the tangent to C at the point P, giving your answer in the form y = mx + c, where m and c are integers.
For number 3, I can draw the graph but I do not now what it means in part a) about equations of asymptotes. I've worked out part B.
I really don't know how to approach question 4
and for question 6, what does it mean buy f'(x)? I'm not really sure on this question either. I think I should be able to do it but the wording is confusing me.
Thank you for your help in advance!
3. Given that f(x) = 1/x, x not equal to 0:
. . .(a) sketch the graph of y = f(x) + 3 and state the equations of the asymptotes.
. . .(b) Find the coordinates of the point where y = f(x) + 3 crosses a coordinate axis.
4. The equation 2x^2 - 3x - (k + 1) = 0, where k is constant, has no real roots. Find the set of possible values of k.
6. The curve C has the equation y = f(x), x not equal to 0, and the point P(2, 1) lies on C. Given that f'(x) = 3x^2 - 6 - 8/(x^2),
. . .(a) find f(x).
. . .(b) Find an equation for the tangent to C at the point P, giving your answer in the form y = mx + c, where m and c are integers.
For number 3, I can draw the graph but I do not now what it means in part a) about equations of asymptotes. I've worked out part B.
I really don't know how to approach question 4
and for question 6, what does it mean buy f'(x)? I'm not really sure on this question either. I think I should be able to do it but the wording is confusing me.
Thank you for your help in advance!
Last edited by a moderator: