Ch 4 Sec 3 Relations, Functions and Graphs

Categorize

Options (7)

-5

-2

1

5

10

11

4

Identify the domain and range of the relation. Drag and drop in the appropriate areas.​ ​ ​

Domain

Range

Open Ended

Is this relation or function? Explain your answer.

Multiple Choice

In the relation {(3,5), (1,2), (4,4), (0,3)}, what are the domain and range?

• D = {3, 1, 4, 0}, R = {5, 2, 4, 3}

• D = {3, 1, 4, 0}, R = {5, 2, 3}

• D = {1, 2, 3, 4}, R = {5, 4, 3}

• D = {3, 1, 0}, R = {5, 2, 4, 3}

Multiple Choice

Find the domain and range of the relation {(0, 1), (1, 3), (2, 5), (3, 5), (0, 3)}. Then sketch a graphical representation of the relation.

• D = {0, 1, 2, 3} and R = {1, 3, 5}

• D = {0, 1, 2} and R = {1, 3}

• D = {1, 2, 3} and R = {0, 5}

• D = {0, 2, 3} and R = {1, 5}

Multiple Choice

What is the output of the relation when the input is 2?

• 1

• 3

• 5

• 0

Multiple Choice

Is this a function? Explain.

• Yes; it passes the horizontal line test.
• No; it is not a straight line.
• Yes; it passes the vertical line test.
• No; there is a line connecting the dots.

Multiple Choice

What is the definition of a function?

• A relation where each input has a unique output

• A relation that can have multiple outputs for a single input

• A relation that pairs every input with every output

• A relation that does not have any inputs

Multiple Choice

Decide whether each relation represents a function.

• Yes

• No

• Sometimes

• Not enough information

Multiple Choice

Does the table represent a function?

• Yes

• No

• It depends on the context

• Not enough information

Open Ended

Write the domain and range for the graph. Explain if the graph of the relation is a function or is not a function and why.

Multiple Choice

What is the Vertical Line Test in relation to functions?

• It determines if a graph is a function by checking if a vertical line intersects it at more than one point.

• It is used to find the slope of a function.

• It helps in identifying the domain of a function.

• It is a method to calculate the area under a curve.

Multiple Choice

Use the Vertical Line Test to determine whether y is a function of x. Which of the following graphs represent a function?

• Graph a

• Graph b

• Graph c

• All of the above

Multiple Choice

What does the vertical line test indicate about the relation represented in the graph?

• The relation represents y as a function of x

• The relation does not represent y as a function of x

• The relation is undefined

• The relation is a linear function

Fill in the Blanks

Multiple Choice

Evaluate the function for the given value:

• 50
• 6
• 84
• -4

Multiple Choice

What are the domain and range of the function represented in the image?

• Domain: All real numbers, Range: All real numbers

• Domain: x > 0, Range: y > 0

• Domain: x < 0, Range: y < 0

• Domain: All integers, Range: All integers

Multiple Choice

A toy rocket is launched into the air, and the data from the rocket's flight is graphed below. What is the domain of the data collected?

• 0≤ x ≤ 7
• 0≤ x ≤ 8
• 0≤ y ≤ 7
• 0≤ y ≤ 8

Multiple Choice

Find the domain and range of the function f: {(–3, 0), (–1, 2), (0, 4), (2, 4), (4, –1)}. What is the domain?

• {–3, –1, 0, 2, 4}

• {0, 2, 4, –1}

• {–3, 0, 2}

• {–1, 0, 4}

Multiple Choice

What are the conditions for the domain and range of the area of a square?

• s > 0

• A > 0

• s < 0

• A < 0

Poll

How confident do you feel about this topic now?

• Very confident
• Somewhat confident
• Not confident