Name: Instructions: Use algebraic techniques to solve problems unless otherwise instructed. Show the calculations leading to your answers (except basic arithmetic). Simplify and circle your final answers. 1. (6 pts.) What is the domain of the function f(x) = log X+3 ? Show the work (sign analysis). 7-x 2. (8 pts.) (a) What is the average rate of change of f(x)=log, (x) between 1/9 and 27? Write the answer as a fraction (no decimals or mixed numbers). (b) What is the equation of the secant line through (1/9, f(1/9)) and (27, f(27))? Use fractions in the