10 Exercise 3.- Calculate the mean value of the function f(x) = |2|on the interval [3,10] and determine point C. Graph the function f(x) and the rectangle formed by f(c) and the indicated interval.

The graph of the function f on the interval [-4, 4] is shown above. What is the value of f(x) dx? 5 9 оо 8 2

Identify where the function f(x) = x³ – 4x? + 8x + 1 is increasing, decreasing, concave up, and concave down. (Give your answer as an interval in the form (*,*). Use the symbol o for infinity, U for combining intervals, and an appropriate type of parentheses "(",")", "[", or "]" depending on whether the interval is open or closed. Express numbers in exact form. Use symbolic notation and fractions where needed. Enter DNE if no such interval exists.) f is increasing on: f is decreasing on: f is concave up on: f is concave down on: Use the graphing utility to graph f. f(x) = 20 y + 10 -20 -10 10 20 -10 powered by Sousep -20

8. Which of the following equations do NOT represent functions of x? Explain. •a {(-2,5), (1,3),(3,7),(4,25),(3,-1)} •b y=x^3+20 •c y^2=x •d y=|x+7|