Increasing, Decreasing, Constant, Positive and Negative Intervals Worksheet with Answer Key

What's on the worksheet

1. Give the intervals where each function is increasing, decreasing or constant.
   y = 7 - 3xy = 2(x - 5)^2 + 1y = -(x + 4)(x - 2)y = 3x^2 - 12x + 1y = -\dfrac{1}{2}x^2 - 3x
2. Give the intervals where each function is positive and where it is negative.
   f(x) = (x + 3)(x - 5)g(x) = 9 - x^2k(x) = -2(x - 1)(x - 6)m(x) = (x - 4)^2p(x) = x^2 + 2x + 5
3. Decide whether a linear function is increasing or decreasing from two values.
4. Check Mei's claim that increasing implies positive.
5. Write a quadratic rule with stated increasing, decreasing, positive and negative intervals.
6. Read the intervals from a graph made of straight pieces.
7. A gannet dives: use the height over time to describe its dive.