Some Math

Problem 1:

Graph f(x) = x2 − 5x + 4

Problem 2:

Graph the following function:

f(x) =

{ 4 −x2 if x < 1 x if x ≥ 1

Problem 3:

Graph the function f(x) = √ x, and use this plot to graph the function g(x) =

√ 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 −|x + 4| = 1

Problem 8:

Graph the following function:

f(x) = |x + 2|

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