Here is the graph of y = f (x):

Problem 3.1: Graph y = - f (x). [Solution]

Problem 3.2: Graph y = f (- x). [Solution]

Problem 3.3: Graph x = f (y). [Solution]

Problem 3.4: Graph y = - f (- x). [Solution]

Problem 3.5: If f (x) = 4x - 6, what is the equation of the function if:
a) The graph is reflected over the x-axis.
b) The graph is reflected over the y-axis.
c) The graph is rotated 180^o around the origin. [Solution]

Problem 3.6: If f (x) = 16x² - 3x + 4, what is the equation of the function if:
a) The graph is reflected over the y-axis.
b) The graph is reflected over the x-axis.
c) The graph is rotated 180^o around the origin. [Solution]

Problem 3.7: If f (x) = x³, what is the equation of the function if:
a) The graph is reflected over the x-axis.
b) The graph is reflected over the y-axis.
c) The graph is rotated 180^o around the origin. [Solution]

Problem 3.8: The domain of a function is and the range of a function is , what are the domain and range if:
a) The graph is reflected over the x-axis.
b) The graph is reflected over the y-axis.
c) The graph is rotated 180^o around the origin. [Solution]