MAT 122 Quiz: MAT 122 SBU Quiz 1 Solution

• School: Stony Brook University
• Department: Mathematics
• Course: MAT 122
• Professor: All

Document Summary

Question 1: a line passes through the points ( 2, 1) and (1, 5). (a) write the equation of the line using point-slope form with the point (1, 5). The slope of the line is given by m = We can rearrange the equation we found above. y 5 = 2(x 1) y 5 = 2x 2 y = 2x 2 + 5 y = 2x + 3. Therefore the y-intercept of the line is at y = 3. (c) graph the line below. Question 2: consider the function f (x) = 3x2 + 2. (a) compute the average rate of change of the function on the interval [1, 2]. Using the formula for the average rate of change, Average rate of change = f (2) f (1) = 9 (b) the graph of f (x) is shown below. Draw the secant line through the points at x = 1 and x = 2.