Please help me on these problems. All of them confuse me

7-10. Sketch the graph of a function (you do not need to find an equation for it) that is increasing on (-0o, -2) and (2, 09) , decreasing on (-2,2), concave down on (-co,0) , and concave up on (0,0). 7-11. Brittany and Kylie were trying to decide where the graph of f(x) = - was concave up and where it was concave down. They both agreed that it was concave up for x 0 since the function was decreasing. Brittany said that it did not matter; all that mattered was that it curved up. Which of the two was right? Explain your answer. 7-12. Let a(x) = x3 - 3x, b(x) = a(x-2) +5 and let W = J, a(x)dx. Recall [, a(x)dx means the area under the curve of a(x) on [2, 7]. a. Write b(x) explicitly. b. Sketch the areas [, a (x)dx and [ b(x)dx . c. Find [ b(x)dx in terms of W. 7-13. For each graph below, find two functions, one that uses sine and one that uses cosine, that will generate the graph. (Recall the 5-point method if you need help.) a. b . 7-14. Solve: 2(x - 3 ) + 3 - =7. x+1 7-15. Find the measure of the angle the line y = 2x + 3 makes with the x-axis. 7-16. Challenge: Suppose that the point A has coordinates (r, s), the point B has coordinates C (t, u) and the line y = mx + b goes through both points. Find the distance between A and B in terms of r, t and m. Hint: First DRAW A PICTURE and then find the slope of the line using the points A and B