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Domain Range Increasing and Decreasing Intervals

Total questions: 20

Worksheet time: 20mins

Name
Class
Date
1.

What is/are the increasing interval(s) for the function shown?

a)

(−3, 1)\left(-3,\ 1\right)

b)

(4, 8)\left(4,\ 8\right)

c)

(−∞,1) and (−3, 1)\left(-\infty,1\right)\ and\ \left(-3,\ 1\right)

2.

Choose all intervals where the graph is INCREASING (Choose all that apply)

a)

(-∞ , 1)

b)

(1 , 3)

c)

(3 , ∞)

3.

Choose all intervals where the graph is DECREASING (Choose all that apply)

a)

(-∞ , 1)

b)

(1 , 3)

c)

(3 , ∞)

4.

What are the increasing intervals?

a)

(- ∞, 0) & (2, ∞ )

b)

(-1, 0) & (2,4)

c)

(0,2) & (-3, -7)

d)

(-8, -3) & (-7, 8)

5.

On which interval(s) is the given function increasing?

a)

(-∞, 2) U (-2, ∞)

b)

(-2, 2) U (-2, ∞)

c)

(-∞, -2) U (0.5, ∞)

d)

(0, 2) U (0.5, ∞)

6.

What is the interval of increase of this function?

a)

(1, ∞)

b)

None

c)

(2, ∞)

d)

(-∞, ∞)

7.

What is the decreasing interval(s) on the function shown?

a)

(−7, −6) and (−2, 4)\left(-7,\ -6\right)\ and\ \left(-2,\ 4\right)

b)

(−7, 0) and (−2, 4)\left(-7,\ 0\right)\ and\ \left(-2,\ 4\right)

c)

(−7, −6) and (−2, 0)\left(-7,\ -6\right)\ and\ \left(-2,\ 0\right)

d)

(−7, 0) and (4, 5)\left(-7,\ 0\right)\ and\ \left(4,\ 5\right)

8.

What are the increasing and decreasing intervals of the graph?

a)

Increasing = (-1.5, 0) & (1.5, ∞)

Decreasing = (-∞, -1.5) & (0, 1.5)

b)

Increasing = (-∞, -1.5) & (0, 1.5)

Decreasing = (-1.5, 0) & (1.5, ∞)

c)

Increasing = (-∞, -1.5) & (1.5, ∞)

Decreasing = (-1.5, 0) & (0, 1.5)

d)

Increasing = (-1.5, 0) & (0, 1.5)

Decreasing = (-∞, -1.5) & (1.5, ∞)

9.

What is the increasing interval on the function shown?

a)

(−∞, 1)\left(-\infty,\ 1\right)

b)

(−∞, 2)\left(-\infty,\ 2\right)

c)

(2, ∞)\left(2,\ \infty\right)

d)

(1, ∞)\left(1,\ \infty\right)

10.

What is the decreasing interval on the function shown?

a)

(−∞, 1)\left(-\infty,\ 1\right)

b)

(−∞, 2)\left(-\infty,\ 2\right)

c)

(2, ∞)\left(2,\ \infty\right)

d)

(1, ∞)\left(1,\ \infty\right)

11.

Where is the function decreasing?

a)

(-∞, -1)

b)

(-1, ∞)

c)

(-∞, 3)

d)

(-∞, ∞)

12.

What is the decreasing interval on the function shown?

a)

b)

c)

d)

13.

Find the Domain.

a)

All real numbers

b)

(0, 3]

c)

(0, ∞)

d)

[0, ∞)

14.

What is the RANGE of this graph?

a)

(-7,5)

b)

[-7, 5]

c)

(-3, 1)

d)

[-3, 1)

15.

What is the DOMAIN of this graph?

a)

[-4, 3]

b)

[-1, 4]

c)

(4, 3)

d)

(-1, 4)

16.

What is the Range?

a)

(-∞, 6)

b)

(-∞, 6]

c)

(-10, 6)

d)

[-10, 6]

17.

What is the Range?

a)

[-3, 2)

b)

(-3, 2]

c)

[-7, 2]

d)

[-7, 2)

18.

Find the Range.

a)

All Real numbers

b)

(0, ∞)

c)

(-∞, ∞)

d)

(1, ∞)

19.

List the types of intervals that the graph demonstrates in order.

a)

decreasing, constant, increasing, constant

b)

increasing, decreasing, constant

c)

increasing, constant, increasing, constant

d)

increasing, constant, decreasing, constant

20.

Which statement is true about this function?

a)

The function is never constant

b)

The function is always increasing

c)

The function is never decreasing

d)

The function increases on the interval 11:00 < x < 15:00