Free Printable Level 7: Functions (Master)

1.

F.5.WU

Select all the inequalities that are true

a)

$-5<-3$

b)

$2\le2$

c)

$0>1$

d)

$4\ge5$

2.

F.5.Notes

Kindly confirm that these insights are mastered or copied into your notes by typing "Goku"

(a)

3.

F.5.a

Write the following in interval notation.

x < 8

a)

(-∞, 8)

b)

[8, ∞)

c)

(7, 8)

d)

(-∞, 8]

e)

(8, ∞)

4.

F.5.b

Can you use the symbols [ or ]
with infinity?

a)

Yes

b)

No

5.

F.5.c

What interval notation does the number line graph represent?

a)

(-5, 5)

b)

(-∞, -5)

c)

(-6, -5]

d)

(-5, 0)

e)

[-5, ∞)

6.

F.5.d

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤ , ≥

b)

>,=

c)

<,=

d)

<,>

e)

≤ , =

7.

F.5.e

Would you use a closed or open circle to graph x < 3?

a)

Closed

b)

Open

8.

F.5.f

Write the following in interval notation.

x ≥ 100

a)

(100, 100]

b)

(100, ∞)

c)

[100, ∞)

d)

[100, 100]

e)

[∞, 100)

9.

F.5.g

Write this in interval notation.

$x>-9$

a)

(-9, 0)

b)

(-9, 10)

c)

(-∞, -9)

d)

(-9, ∞)

e)

[-9, ∞)

10.

F.5.h

Write this in interval notation.

$x\le6$

a)

(6, 6]

b)

[6, ∞)

c)

(-∞, 6)

d)

(-∞, 6]

e)

(6, ∞)

11.

F.5.i

Convert this interval notation to inequality notation.

$x\le0$

a)

$\left(-\infty,\infty\right)$

b)

$\left(-\infty,0\right]$

c)

$\left(-\infty,0\right)$

d)

$\left(0,-\infty\right)$

e)

$\left[0,-\infty\right)$

12.

F.5.j

Express the following in Interval Notation

-8 ≤ x < 8

a)

[-8, 8]

b)

[-8,8)

c)

(-8, 8]

d)

(-8, 8)

e)

(8, -8]

13.

F.5.k

Write the following in interval notation

-7 ≤ x < 8

a)

(-7, 8)

b)

[-7, 8)

c)

[-7, 8]

d)

(-7, 8]

e)

(8, -7]

14.

F.5.L

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

15.

F.5.m

Write the following in interval notation

x < 3 or x ≥ 5

U = "or" in interval notation

a)

(3, -∞) U (∞, 5]

b)

[-∞, 3) U [5, ∞]

c)

(-∞, 3) U [5, ∞)

d)

(3, -∞] U [∞, 5]

e)

(3, -∞] U [5, ∞]

16.

F.5.n

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

17.

F.5.o

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

18.

F.5.p

Look at the picture. Which graph best represents the solution set (-∞, -2) U (5, ∞)?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

19.

F.5.q

What is the range of the graph?

a)

[-7, 5)

b)

(-3, 1]

c)

[-3, 1)

d)

(-7, 5]

20.

F.5.r

What is the range?

a)

$\left(0,\ \infty\right)$

b)

$\left[0,\ \infty\right)$

c)

$\left(-\infty,\ \infty\right)$

d)

None of the answer choices

e)

$\left[0,\ \infty\right]$

21.

F.5.s

What is the domain?

a)

[-2, 3]

b)

[-2, 3)

c)

(-2, 3]

d)

[-3, 4]

e)

(-3, 4]

22.

F.5.t

What is the range?

a)

[-3, 4]

b)

(-3, 4)

c)

(-3, 4]

d)

(-2, 3]

e)

[4, -3]

23.

What is the domain?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

$\left(-\infty,\infty\right)$

e)

None of the answer choices

24.

What is the range?

a)

$\left(-\infty,\ -3\right]$

b)

$\left[3,\ -\infty\right)$

c)

$\left(-\infty,3\right]$

d)

None of the answer choices

e)

$\left[-3,\ \infty\right)$

25.

What is the domain?

(a)

26.

What is the range?

(a)

27.

What is the domain?

a)

$\left(\infty,-2\right]$

b)

$\left[-2,\ \infty\right)$

c)

[-2,3]

d)

$\left(-\infty,\ -2\right]$

e)

None of the answer choices

28.

What is the domain?

a)

$\left(\infty,\ -2\right]$

b)

$\left[-2,\ \infty\right)$

c)

(-2, 3)

d)

[-2, 3]

e)

None of the answer choices

29.

What is the domain?

a)

(-8, 4]

b)

(-8,-3) U [-1, 4]

c)

[-8,-3) U [-1, 4]

d)

(-8,-4] U [-1, 4]

e)

(-2, 6]

30.

What is the range?

a)

(-2, 6] U[1,4]

b)

(-8, 2] U (3, 6]

c)

(-8,-3) U [-1, 4]

d)

(-2, 6]

e)

None of the answer choices

31.

Express the following in Interval Notation
-9 < x ≤ -4

a)

[-9, -4]

b)

(-9,-4]

c)

[-9, -4]

d)

(-9,-4)

32.

Write the following in interval notation
x < 8

a)

(8, ∞)

b)

(8, -∞)

c)

(-∞, 8)

d)

[-∞, 8]

33.

Look at the Graph. Write the inequality in interval notation.

a)

[-4, -1)

b)

(-4, -1)

c)

(-4, -1]

d)

[-4, -1]

34.

When graphing b< 6 would you use an open or closed circle?

a)

open

b)

closed

35.

Look at the picture. Which number line corresponds to [-2, 5]?

a)

Graph 1

b)

Graph 2

c)

Graph 3

d)

Graph 4

36.

Can you use the symbols "[" or "]"

with infinity?

a)

Yes

b)

No

37.

Which of the following numbers is not in the interval (3, 9]?

a)

3

b)

3.14

c)

7

d)

9

38.

When graphing an inequality, you use an open dot when you use which symbol?

a)

<, >

b)

≤, ≥

c)

>, ≥

d)

<, ≤

39.

Express the following in Interval Notation
-9 < x < -8.5

a)

[-9, -8.5]

b)

[-9, -8.5)

c)

(-9, -8.5]

d)

(-9, -8.5)

40.

Pick the correct letter for:
6 > x

a)

A

b)

B

c)

C

d)

D

41.

When you graph an inequality, you use a closed dot when you use which symbols?

a)

≤, ≥

b)

<, >

c)

≤, <

d)

≥, >

42.

Which is the closest to " [ a, b) "

a)

All values between a and b, including both a and b

b)

All values between a and b, excluding both a and b

c)

All values between a and b, including a, but excluding b

d)

All values between a and b, including b, but excluding a

43.

Why do we not use closed parentheses/brackets for positive and negative infinity?

a)

Infinity is an idea/concept and not an actual number, so it can't be included

b)

False, we do in fact use closed parentheses/brackets for positive and negative infinity

c)

Huh?

d)

???

44.

Express the following interval in Set notation:
(-7, 15]

a)

-7 ≤ x ≤ 15

b)

-7 < x ≤ 15

c)

-7 ≤ x < 15

d)

-7 < x < 15

45.

What inequality is graphed?

a)

2 < x < 4

b)

2 ≤ x ≤ 4

c)

x > 2 or x < 4

d)

x ≥ 2 or x ≤ 4

46.

Write the inequality in interval notation. x > -1

a)

(-∞, -1)

b)

(-1, ∞]

c)

(-∞, -1]

d)

(-1, ∞)

47.

Pick the correct inequality.

a)

A

b)

B

c)

C

d)

D

48.

Which graph matches the inequality

4 > x

a)

A

b)

B

c)

C

d)

D

49.

Write the following in interval notation
x > 6 and x ≤ 10

a)

(-∞, 6) and (10, ∞)

b)

[6, 10)

c)

(-∞, 6] and [10, ∞)

d)

(6, 10]

50.

Write the following in interval notation

x ≥ 100

a)

(0, 100]

b)

(∞, 100]

c)

[100, ∞)

d)

(∞, 100)

Level 7: Functions (Master)

Total questions: 50

Worksheet time: 2hrs 40mins

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