Free Printable Chapter 1.1 Domain and Range

1.

z=2x+y^3

which one is the dependent variables?

a)

x

b)

y

c)

z

2.

$w=uv+2v^2$

which one the independent variables?

a)

w

b)

u

c)

v

3.

What is domain?

a)

A complete set of possible values of the independent variables

b)

A complete set of possible values of the dependent variables after we substitute the independent variables

c)

Is a rule or formula that x, y must follow that will give a unique value of z

4.

For $w=\sqrt{81-x^2-y^2}$ what is the domain?

a)

[-9,9]

b)

[-3,3]

c)

[-8,8]

5.

For $w=\ln2z$ What is the domain?

a)

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

b)

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

c)

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

6.

For $w=\sqrt{x^2+y^2+3z^2}$ How many independent variables?

a)

1

b)

2

c)

3

7.

For $w=\sqrt{x^2+y^2+3z^2}$ How many dependent variables?

a)

2

b)

4

c)

3

8.

For $w=\sqrt{x^2+y^2+3z^2}$ How many dimension we need to graph the function?

a)

2

b)

4

c)

3

9.

For $w=\sqrt{x^2+y^2+3z^2}$ How many dimension we need to graph the domain?

a)

2

b)

4

c)

3

10.

For $w=\sqrt{x^2+y^2+3z^2}$ calculate if $f\left(2,2,-1\right)$

a)

$\sqrt{7}$

b)

$\sqrt{5}$

c)

$\sqrt{11}$

11.

What is range?

a)

A complete set of dependent variables

b)

A set of rule that x and y must follow that will give a unique value of z

c)

A complete set of independent variables

12.

What is the range for ln 2z?

a)

\left[0,\infty\right]

b)

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

c)

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

13.

What is the range for w=sin(u-2v)

a)

\left[-\infty,\infty\right]

b)

[-1,1]

c)

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

14.

$z=\sin\left(u-2v\right)$ given that $f\left(-1,4\right)$ what is the value of z? ( in rad)

a)

-0.07

b)

0.03

c)

-0.156

15.

$\frac{xy}{2y-4x}$

Find the domain and range

a)

$D=\left[-\infty,\infty;2y-4x\ne0\right];\ R=\left[-\infty,\infty\right]$

b)

$D=\left[-\infty,\infty\right],\ R=\left[-\infty,\infty\right]$

c)

$D=\left[0,\infty\right],\ R=\left[-\infty,\infty\right]$

Chapter 1.1 Domain and Range

Total questions: 15

Worksheet time: 18mins

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