MATH 112 Study Guide - Midterm Guide: Minor Places In Arda, Quadratic Formula, Marginal Revenue

The slope of the secant line between two points on a curve is an average rate of change. of the function on the interval between the two points. Find the slope of the secant line between the points(-1, 2) and (3, 4) on the graph of h(x) = The slope of the tangent line at a point is the instantaneous rate of change of the function at that point. Find the slope of the line tangent to the graph of h(x) = at the point (-1, 2)

A function and an interval of its independent variable are given. The endpoints of the interval are associated with the points P and Q on the graph of the function. Answer parts a and b The volume V of a gas in cubic centimeters is given by Vwhere p is the pressure in atmospheres and 0.5 sps2 a. Sketch a graph of the function and the secant line through P and Q b. Find the slope of the secant line in part (a), and interpret your answer in terms of an average rate of change over the interval. Include units in your answer a. Choose the correct graph below O A. 12 12 12 0 1 2 3 4 0 1 2 3 4 0 12 3 4 0 1 2 3 4 Vover the interval 0.5sps2 b. The slope of the secant line is . This means the (Type integers or decimals.) changes at an average rate of