Q1

The rational function y = f(x) has a horizontal asymptote y = 5 and the rational function y = g(x) has a horizontal asymptote y = -3.

Determine the horizontal asymptote of the functions

(a) f + g

(b)f - g

Q2: (a)For the function f(x) = 4x^2 -5x + 1 use an algebraic method, the difference quotient, to estimate the slope of the tangent line at x= 2.

b) Using the information and results from part (a), determine the equation of the tangent line at x = 2.

Q3: 11.For a given function, the average rate of change over [2,4] is 5 and the average rate of change over [4,7] is -2. Find the average rate of change over [2,7].