Some Math

Problem 1:

Graph f(x) = x2 5x + 4 Problem 2: Graph the following function:

f(x) = ( 4 x2 ifx < 1 x ifx 1 Problem 3: Graph the function f(x) = p x, and use this plot to graph the function g(x) = p x + 1 Problem 4: Graph the function f(x) = ( x 1)2 , and use this plot to graph the function g (x) = (2x 1)2 Problem 5: Find the slope of the line containing the following pair of points:

P (1; 1); Q (3; 3) Problem 6: Write the equation of the line containing the points (0 ;1) and (2; 3) Problem 7:

Solve the following equation:

2 jx + 4j= 1 Problem 8: Graph the following function:

f(x) = jx+ 2 j Problem 9: Find the least squares regression line, and graph both the scatter plot and the regression line, for the following set of data: x 1 2 3 4 5 6 7 8 9 y 1.367 1.548 3.172 4.064 4.739 5.913 7.069 8.716 9.554 Problem 10:

Find the least squares regression line, and graph both the scatter plot and the regression line, for the following set of data: x 1 2 3 4 5 6 7 8 9 y 2.865 5.304 7.073 8.994 11.072 12.980 14.988 17.149 19.141