Graph the functions by hand, and use technology to do the repetitive calculations of part 3. IF you are uncertain of what is required or need some guidance, please contact your teacher. 1. Plot the functions f(x) = ex! and g(x) = In x, by hand on the same axes (5K and SC) (Also plot y=x, and use the same scale for both axes.) What are the domain and range of f(x) = e" and g(x) = In x? Where are the locations of the vertical and horizontal asymptotes (if any)? 2. Comment on your answers to question 1, what conclusions can you make? (3C) (They are inverses of each other -- you may want to include a table of values - one three-column table.) 3. Estimate the IROC. at two places on the function f(x) = ex demonstrating that the slope of a tangent line to the curve is equal to the function value at that point. Use the centred interval (f(x+h) - f(x-h)/2h) with h sufciently small. Justify your choices for h. Hint -- do the calculation with an h-value that you consider reasonably small, then repeat the process with hl2 (perhaps hl10), compare the results, repeat with an even smaller h if deemed necessary. At least two iterations will be required. Use a spreadsheet or programmable calculator. You may need to show at least one calculation in full! (ST and 6A)