Questions: Consider the function graphed at right. Join multiple intervals with a comma (not a union) for increasing/decreasing/constant. A) Give the interval(s) where the function is increasing. B) Give the interval(s) where the function is decreasing. C) Give the interval(s) where the function is constant. D) Give the domain of the function using interval notation. E) Give the range of the function using interval notation.

Solution Steps

The function is increasing where the y-value increases as the x-value increases. This occurs between x = 1 and x = 3, and also between x = 8 and x = 10. In interval notation, these are (1, 3) and (8, 10).

The function is decreasing where the y-value decreases as the x-value increases. This happens between x = 6 and x = 8. In interval notation, this is (6, 8).

The function is constant where the y-value remains the same as the x-value changes. This occurs between x = -10 and x = 1, and also between x = 3 and x = 6. In interval notation, these are (-10, 1) and (3, 6).

Final Answer: