Sketch the graph of a function f(x) that satisfies the following criteria. (You do not need to define the function algebraically.)
• Defined and continuous on the interval (-5,5).
• f'(2) does not exist at 2 = 0
f(2+ h) – f(2)
• lim
< 0
h
• The slope tangent to the graph of f(x) at x = 3 is zero
• The rate of change of f(x) when x = -1 is positive
h0

The graph of the function f(x) = (x + 2)(x + 6) is shown below. which statement about the function is true? the function is positive for all real values of x where x > –4. the function is negative for all real values of x where –6 < x < –2. the function is positive for all real values of x where x < –6 or x > –3. the function is negative for all real values of x where x < –2.