Free Printable Domain & Range, Solving for Y, Function Notation

1.

Determine the domain

a)

$-4\le x<3$

b)

$-4<x\le3$

c)

$-7<y\le9$

d)

$-7<y\le-4$

2.

Determine the range

a)

$-4\le x<3$

b)

$-4<x\le3$

c)

$-7<y\le9$

d)

$-7<y\le-4$

3.

Determine the domain

a)

$-4\le x<4$

b)

$0\le x<4$

c)

$-8\le f\left(x\right)\le0$

d)

$-8\le f\left(x\right)\le4$

4.

Determine the range

a)

$-4\le x<4$

b)

$0\le x<4$

c)

$-8\le f\left(x\right)\le0$

d)

$-8\le f\left(x\right)\le4$

5.

Determine the domain

a)

$x\ge0$

b)

$x\ge7$

c)

$x\le0$

d)

$x\le7$

6.

Determine the range

a)

$y\ge0$

b)

$y\ge7$

c)

$y\le0$

d)

$y\le7$

7.

Given the function, $f\left(x\right)=\left(x-5\right)^2+2$ , what is the domain?

a)

All real numbers

b)

$x\ge5$

c)

$f\left(x\right)\ge2$

d)

$f\left(x\right)\le2$

8.

Given the function, $f\left(x\right)=\left(x-5\right)^2+2$ , what is the range?

a)

All real numbers

b)

$x\ge5$

c)

$f\left(x\right)\ge2$

d)

$f\left(x\right)\le2$

9.

Given the table of a quadratic function, what is the domain?

a)

All real numbers

b)

$x\ge-1$

c)

$f\left(x\right)\ge2$

d)

$f\left(x\right)\le2$

10.

Given the table of a quadratic function, what is the range?

a)

All real numbers

b)

$x\ge-1$

c)

$f\left(x\right)\ge2$

d)

$f\left(x\right)\le2$

11.

Determine the domain.

a)

$-4\le x<0$

b)

$-4\le x<-8$

c)

$-9\le y\le0$

d)

$-9\le y\le-4$

12.

Determine the range.

a)

$-4\le x<0$

b)

$-4\le x<-8$

c)

$-9\le y\le0$

d)

$-9\le y\le-4$

13.

Determine the domain of the exponential function.

a)

All real numbers

b)

$y>0$

c)

$y>1$

d)

$x>-2$

14.

Determine the range of the exponential function.

a)

All real numbers

b)

$y>0$

c)

$y>1$

d)

$x>-2$

15.

Determine the domain.

a)

$\left\{-8,-3,0,5\right\}$

b)

$\left\{-4,-3,0,3\right\}$

c)

$-8\le x\le5$

d)

$-4\le y\le3$

16.

Determine the range.

a)

$\left\{-8,-3,0,5\right\}$

b)

$\left\{-4,-3,0,3\right\}$

c)

$-8\le x\le5$

d)

$-4\le y\le3$

17.

Domain goes with (a) values

18.

Range goes with (a) values

19.

Determine the domain.

a)

$f\left(x\right)\ge-2$

b)

$f\left(x\right)\le-2$

c)

$x\le6$

d)

$x\ge6$

20.

Determine the range.

a)

$f\left(x\right)\ge-2$

b)

$f\left(x\right)\le-2$

c)

$x\le6$

d)

$x\ge6$

21.

Find the domain of the graph below.

a)

{-4, -2, 0, 2, 3}

b)

{-3, -2, 0, 2, 4,}

c)

All Real Numbers

d)

-3 ≤ x ≤ 4

22.

What is the Domain of this linear function?

a)

-3 < x ≤ 5

b)

x = -1

c)

5 < x ≤ -3

d)

-2 < x ≤ 6

23.

What is the range of the graph?

a)

1 ≤ x ≤ 5

b)

1 < x < 5

c)

1 ≤ y ≤ 5

d)

1 < y < 5

24.

Identify the Domain of the graph depicted.

a)

0 ≤ x ≤ 180

b)

0 ≤ y ≤ 180

c)

0 ≤ x ≤ 1500

d)

0 ≤ y ≤ 1500

25.

Given the table of a quadratic function, what is the range?

a)

All real numbers

b)

$k\left(x\right)\le1$

c)

$k\left(x\right)\ge1$

d)

$k\left(x\right)\le-3$

26.

Solve for y:
y + 2 = 3x

a)

y = 2x + 3

b)

y= 3x +2

c)

y= 3x -2

d)

y= 6x

27.

3x + y = 12

a)

y = -3x +12

b)

x = y + 4

c)

x = y + 12

d)

y = 3x -12

28.

Solve for y:
2x + 2y = 6

a)

y = - x + 3

b)

y = x + 3

c)

y = 2x +6

d)

y = - 2x + 6

29.

8x + 4y= 16

a)

y = -8x + 16

b)

y = 2x -4

c)

y = -2x + 4

d)

y = -8x + 12

30.

4x + 3y = 9

a)

y = -3/4x + 3

b)

y = -4x + 9

c)

y = -4/3x + 3

d)

3y = -4x + 9

31.

10x - 2y = 6

a)

y = 5x - 3

b)

y = -5x + 3

c)

-2y = -10x + 6

d)

y = 1/5x - 1/3

32.

x + 2y = 10

a)

y = -2x + 5

b)

y = -1/2x + 5

c)

y = -1/2x - 5

d)

2y = -x + 10

33.

x + y = 4

a)

y = x + 4

b)

y = -x + 4

c)

x = -y + 4

d)

x= y - 4

34.

5x - y = 16

a)

-y = 5x + 16

b)

y = 5x + 16

c)

x = 5y - 16

d)

y = 5x - 16

35.

2x + y = 41

a)

x = 2y + 41

b)

y = 2x -41

c)

y = -2x + 41

d)

x = y -39

36.

If f(x) = -x + 4, find f(10).

(a)

37.

If f(x) = -3x - 8, find f(-3).

(a)

38.

If f(x) = 3(6 - x), find f(-4).

(a)

39.

If $f\left(x\right)=\frac{1}{2}x\ -3$ , find $f\left(8\right)$ .

(a)

40.

If $f\left(x\right)=x^2+2$ , find $f\left(-4\right).$

(a)

41.

If f(x) = 3 - 2x², find f(-5).

(a)

42.

Given: f(x) = 12x²- 81, find f(0).

(a)

43.

Given f(x) = x² - 3 + 2x, find f(3).

(a)

44.

Given f(x) = x² - 3x, find f(-4).

(a)

45.

Given f(x) = 2x² + 5x - 17, find f(-5).

(a)

46.

Given f(x) = 2x³ - 4x², find f(-3).

(a)

Domain & Range, Solving for Y, Function Notation

Total questions: 46

Worksheet time: 1hrs 13mins

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