Business Calculus 1

Q1

Refer to the graph of y = f(x) = x+ x shown. Ay a) Find the slope of the secant line joining ( - 4, f( - 4)) and ( - 1, f( - 1)). b) Find the slope of the secant line joining ( - 4, f( - 4)) and ( - 4 + h, f( - 4 + h)). c) Find the slope of the graph at ( - 4, f( - 4)). d) Find the equation of the tangent line to the graph at ( - 4, f( - 4)). X a) The slope is . (Type an integer or a simplified fraction.)The total sales of a company [in millions ot dollars} t months from now are given by the following formula. Em = 3-J't + 11] {A} Use the four-step process to nd S'lt]. {B} Find 31:15} and 3115]. {C} Use the results in part [E] to estimate the total sales after 15 months and 1? months. E) {A} 3m = D Find the indicated quantities for f(x) = 4x. (A) The slope of the secant line through the points (1,f(1)) and (1 + h,f(1 + h)), h#0 (B) The slope of the graph at (1,f(1)) (C) The equation of the tangent line at (1,f(1)) (A) The slope of the secant line through the points (1,f(1)) and (1 + h,f(1 + h)), h #0, is