Determine Whether Relations Are Functions. Describe Patterns in Mapping Diagrams.

Write the corresponding ordered pairs for the mapping and tell whether the relation is a function. Diagram 1: x = {1, 2, 3, 4}, y = {4, 6, 8, 10}.

• Ordered pairs: {(1, 4), (2, 6), (3, 8), (4, 10)}; Yes, it is a function.

• Ordered pairs: {(1, 4), (2, 6), (3, 8), (4, 10)}; No, it is not a function.

• Ordered pairs: {(1, 4), (2, 6), (3, 8), (4, 8)}; Yes, it is a function.

• Ordered pairs: {(1, 4), (2, 6), (3, 8), (4, 8)}; No, it is not a function.

Tags

TEKS.MATH.8.5G

Write the corresponding ordered pairs for the mapping and tell whether the relation is a function. Diagram 4: x = {4, 9}, y = {3, 5, 8}.

• Ordered pairs: {(4, 3), (9, 5)}; Yes, it is a function.

• Ordered pairs: {(4, 3), (4, 5), (9, 8)}; No, it is not a function.

• Ordered pairs: {(4, 3), (9, 3), (9, 5)}; Yes, it is a function.

• Ordered pairs: {(4, 8), (9, 5), (9, 3)}; No, it is not a function.

Tags

TEKS.MATH.8.5G

Write the corresponding ordered pairs for the table and tell whether the relation is a function. Table: Input = {4, 8, 12, 16, 20}, Output = {5, 12, 16, 20, 24}.

• Ordered pairs: {(4, 5), (8, 12), (12, 16), (16, 20), (20, 24)}; Yes, it is a function.

• Ordered pairs: {(4, 5), (8, 12), (12, 16), (16, 20), (20, 24)}; No, it is not a function.

• Ordered pairs: {(4, 5), (8, 12), (12, 16), (16, 20), (20, 24)}; Cannot determine if it is a function.

• Ordered pairs: {(4, 5), (8, 12), (12, 16), (16, 20), (20, 24)}; It is a function only if all inputs are unique.

Tags

TEKS.MATH.8.5G

Determine whether the graph represents a function. Graph 1.

• Yes, it represents a function.

• No, it does not represent a function.

Tags

TEKS.MATH.8.5G

Determine whether the graph represents a function. Graph 4.

• Yes, it represents a function.

• No, it does not represent a function.

Tags

TEKS.MATH.8.5G

Analyze the graph in question 6. Describe the pattern of the lines and determine if it represents a function.

• The graph shows a linear pattern and represents a function.

• The graph shows a non-linear pattern and does not represent a function.

• The graph shows a linear pattern but does not represent a function.

• The graph shows a non-linear pattern and represents a function.

Tags

TEKS.MATH.8.5G

Determine whether the graph represents a function. If it is not a function, explain why not. (Graph 10)

• Yes, the graph represents a function.

• No, the graph does not represent a function because it fails the vertical line test.

Tags

TEKS.MATH.8.5G

Examine the graph in question 8. Does it pass the vertical line test, and is it a function?

• Yes, it passes the vertical line test and is a function.

• No, it does not pass the vertical line test and is not a function.

• Yes, it passes the vertical line test but is not a function.

• No, it does not pass the vertical line test but is a function.

Tags

TEKS.MATH.8.5G

Analyze the sets of domain & range values: x = {2, 5, 7}, y = {3, 6, 9}. Determine if the relation is a function.

• Ordered pairs: {(2, 3), (5, 6), (7, 9)}; Yes, it is a function.

• Ordered pairs: {(2, 3), (5, 6), (7, 9)}; No, it is not a function.

• Ordered pairs: {(2, 3), (5, 6), (7, 9)}; Cannot determine if it is a function.

• Ordered pairs: {(2, 3), (5, 6), (7, 9)}; It is a function only if all outputs are unique.

Tags

TEKS.MATH.8.5G

Consider the sets of inputs & outputs: Input = {3, 6, 9, 12}, Output = {7, 14, 21, 28}. Is the relation a function?

• Ordered pairs: {(3, 7), (6, 14), (9, 21), (12, 28)}; Yes, it is a function.

• Ordered pairs: {(3, 7), (6, 14), (9, 21), (12, 28)}; No, it is not a function.

• Ordered pairs: {(3, 7), (6, 14), (9, 21), (12, 28)}; Cannot determine if it is a function.

• Ordered pairs: {(3, 7), (6, 14), (9, 21), (12, 28)}; It is a function only if all inputs are unique.

Tags

TEKS.MATH.8.5G