FINDING INCREASING AND DECREASING INTERVALS ON A GRAPH WORKSHEET

Answer Key

1) Increasing in all real numbers

2)  

• At (-∞, -1) and (1, ∞) it is increasing.
• At (-1, 1), it is decreasing.

3)  

• At (-∞, 0) it is increasing.
• At (0, 2), it is constant function.
• At (2, ∞), it is decreasing function.

4)

• Decreasing at (-∞, 3)
• Increasing at (3, ∞)

5)  

• Decreasing at (4, ∞)
• Increasing at (-∞, 4)

6) 

• Decreasing at (-∞, 1)
• Increasing at (1, ∞)

7)

• Increasing at (-∞, -3) and (-3, 0)
• Decreasing at (0, 3) and (3, ∞)

At x = -3 and x = 3, we have vertical asymptotes.