2.4 Finding Domain and Range

2.4 Finding Domain and Range​

By Cassie Stallings

Categorize

Options (6)

All y-values of a function.

All output values of a function.

All x-values of a function.

All input values of a function.

Left to right on a graph

Bottom to top on a graph.

Organize these options into the right categories

Domain

Range

Multiple Choice

What is the domain of the function graphed?

• All Real Numbers

• $$0\le f\left(x\right)\le8$$

• $$0\le x\le8$$

• $$0<x<8$$

Multiple Choice

What is the range of the function graphed?

• All Real Numbers

• $$0\le f\left(x\right)\le8$$

• $$0\le x\le8$$

• $$0<f\left(x\right)<8$$

Multiple Choice

What is the domain of the function graphed?

• All Real Numbers

• $$0\le f\left(x\right)\le7$$

• $$0\le x\le7$$

• $$0<x<7$$

Multiple Choice

What is the range of the function graphed?

• All Real Numbers

• $$0\le f\left(x\right)\le7$$

• $$0\le x\le7$$

• $$0<f\left(x\right)<7$$

Multiple Choice

What is the domain of the function graphed?

• $$1\le y\le7$$

• $$-4\le x\le3$$

• $$\left\{-4,-3,-2,-1,\ 0,\ 1,\ 2,\ 3,\ 4\right\}$$

• All Real Numbers

Multiple Choice

What is the range of the function graphed?

• $$1\le y\le7$$

• $$-4\le x\le4$$

• $$\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7\right\}$$

• All Real Numbers

Multiple Choice

What is the domain of the function graphed?

• $$1\le y\le7$$

• $$-4\le x\le4$$

• $$\left\{-4,-3,-2,-1,\ 0,\ 1,\ 2,\ 3,\ 4\right\}$$

• All Real Numbers

Multiple Choice

What is the range of the function graphed?

• $$1\le y\le7$$

• $$-4\le x\le4$$

• $$\left\{1,\ 2,\ 3,\ 4,\ 5,\ 6,\ 7\right\}$$

• All Real Numbers

Math Response

How far to the LEFT does this graphed curve go?

Type answer here

Correct Answer: -2

Deg^°

Rad

Math Response

How far to the RIGHT does this graphed curve go?

Type answer here

Correct Answer: 16

Deg^°

Rad

Drag and Drop

What is the domain of this graph?



-2 ​

Placeholder

​

Placeholder

​

Placeholder

16

Drag these tiles and drop them in the correct blank above

Math Response

How far DOWN does this graphed curve go?

Type answer here

Correct Answer: 2

Deg^°

Rad

Math Response

How far UP does this graphed curve go?

Type answer here

Correct Answer: 10

Deg^°

Rad

Multiple Choice

What is the RANGE of this graph?

• $$4\le y\le9$$

• All Real Numbers

• $$-2\le y\le16$$

• $$2\le y\le10$$

Dropdown

This graph ​

Select answer

a function.

Dropdown

What is the domain of the graphed relationship?



​

Select answer

​

Select answer

​

Select answer

​

Select answer

​

Select answer

Dropdown

What is the range of the graphed relationship?



​

Select answer

​

Select answer

​

Select answer

​

Select answer

​

Select answer

Dropdown

This graph ​

Select answer

a function.

Dropdown

This graph ​

Select answer

a function.

Multiple Choice

What is the domain of the function?

• All Real Numbers

• $$-10\le x\le10$$

• $$-2\le f\left(x\right)\le-12$$

• $$f\left(x\right)\le-2$$

Multiple Choice

What is the range of the function?

• All Real Numbers

• $$-10\le x\le10$$

• $$-2\le f\left(x\right)\le-12$$

• $$f\left(x\right)\le-2$$

Dropdown

This graph ​

Select answer

a function.

Multiple Choice

What is the domain of the function?

• All Real Numbers

• $$-5\le x\le5$$

• $$-3\le f\left(x\right)\le-3$$

• $$f\left(x\right)=-3$$

Multiple Choice

What is the range of the function?

• All Real Numbers

• $$-5\le x\le5$$

• $$-3\le f\left(x\right)\le-3$$

• $$f\left(x\right)=-3$$

Dropdown

This graph ​

Select answer

a function.

Multiple Choice

What is the domain of the relationship?

• All Real Numbers

• $$-2\le x\le5$$

• $$-6<y\le6$$

• $$-2\le x<5$$

Multiple Choice

What is the range of the relationship?

• All Real Numbers

• $$-2\le x\le5$$

• $$-6<y\le6$$

• $$0\le y<5$$

Dropdown

This graph ​

Select answer

a function.

Open Ended

Drew believes the domain of the function graphed below is $$-6\le x\le6$$ while Yazmin believes it is all real numbers. Who do you agree with? Explain.

Multiple Select

Check the functions that have:

* domain of all real numbers

* range of $$y\ge-2$$

Choose all that apply.