Solve The Problem 1). If f ( x )=7 x +11g ( x )=5 x1, findf ( g ( x ) ) . What is f ( g ( 2 ) ) ? Answer: F(g(x)) = Answer: (f(g(2))= Find the average rate of change of the function shown below over the given interval. 2). y=3 x 2x , [ 5 ,6 ] Answer: Average Rate of Change = Find the limit, if it exists. x 2+ 4 x32 3). lim x4 x 216 Answer: Find the equation, EXPRESSED IN SLOPE-INTERCEPT FORM, for the line which is tangent to the graph of the function below at the given point. 4). y=x 2x (4 ,20) Equation: Calculate the derivative F1(x) of the function below; then find the value of the derivative as specified. 5). F(x)=x2+7x-2, f'(0) Answer: F1(x) = Answer: F1(0)= Solve the Problem. 6). Find the point (x,y) where the graph of the function below has a horizontal tangent f(x)=4x2+5x+2 Answer: (x,y) = Find all points \"x\" where the function whose graph is shown below is discontinuous. Answer: \"x\" where f(x) is discontinuous: A function f(x), a point c, the lmit of f(x) as x approaches c, and a positive number is given. By using the definition of the limit, find a number > 0 such that for all x , 0<|x c|< ||f ( x )L< 8). f ( x )=5 x +9, L=29, c=4 0.01 Answer: = Use the graph of the function f(x) to evaluate the limit as x approaches 0, or state that the limit as x approaches 0 does not exist. f (x ) 9). lim x 0 Answer: Find the equation of the line, EXPRESSED IN SLOPE-INTERCEPT FORM, passing through the given point and parallel to the graph of the given line. 10). Through (7,3); parallel to y+6-4x=0 Equation