Unformatted text preview: f is below the x-axis. (iv) Find the power function that the graph of f resembles for large values of | x | . (v) Sketch the graph of f . (b) f ( x ) = 2 x x 2-x-2 . (i) Find the domain of f . (ii) Find all the intercepts. (iii) Check for symmetry. (iv) Find all vertical asymptotes (if any). (v) Find all horizontal asymptotes (if any). If there is a horizontal asymptote diﬀerent than x-axis, check whether it crosses the graph of f or not. (vi) Use x-intercepts and the points not in the domain of f to ﬁnd the intervals on which f is above the x-axis and the intervals on which f is below the x-axis (vii) Sketch the graph of f . 5. Solve the inequality x-4 2 x + 4 ≥ 1 . Write the solution set in interval notation....
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- Spring '07
- Math, Quadratic equation, Limit of a function, Asymptotic curve