Algebra 2 2-1 Relations and Functions

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Solve It! The last digit in a 13-digit bar code is a check digit. Steps 1-3 show how the check digit checks the first 12 digits. Is it possible for 12 digits to generate two different check digits?

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Problem 1 Got It? Represent the relation in four different ways on the canvas provided.

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Problem 2 Got It?

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Problem 3 Got It? Is the relation a function?

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Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.

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Problem 5 Got It?

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Problem 5 Got It?

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Problem 5 Got It?

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Problem 6 Got It?

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Vocabulary: Can you have a relation that is not a function? Can you have a function that is not a relation? Explain.

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Error Analysis: Your friend writes, "In a function, every vertical line must intersect the graph in exactly one point." Explain your friend's error and rewrite the statement so that it is correct.

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Reasoning: Why is there no horizontal-line test for functions?

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Review Lessons 1-5 & 1-6: Identify the equations and/or inequalities for which each value is a solution.

x = 0
x = -3
x = -14

|3x + 9| = 0
2 - 3x < 11
|2x| + 4 > 7
15 + |x - 1| = 30

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Review Lesson 1-4: Solve the equation for y.

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Vocabulary Review: Complete the sentence on the right with the correct word(s) from the left.

exactly
at least
at most

For every input of a function there is _____ one output.

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Use Your Vocabulary: Match the descriptions on the left with their sets on the right.

The output values in the relation:
{(1, 0), (-2, 3), (3, 2), (5, -4)}
The domain of the relation:
{(-2, 3), (-2, 1), (5, 4)}

{-2, 1, 3, 5}
{-4, 0, 2, 3}
{-2, 5}
{1, 3, 4}

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Algebra 2 2-1 Relations and Functions

Solve It! The last digit in a 13-digit bar code is a check digit. Steps 1-3 show how the check digit checks the first 12 digits. Is it possible for 12 digits to generate two different check digits?

Problem 1 Got It? Represent the relation in four different ways on the canvas provided.

Problem 2 Got It?

Problem 3 Got It? Is the relation a function?

Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Vocabulary: Can you have a relation that is not a function? Can you have a function that is not a relation? Explain.

Error Analysis: Your friend writes, "In a function, every vertical line must intersect the graph in exactly one point." Explain your friend's error and rewrite the statement so that it is correct.

Reasoning: Why is there no horizontal-line test for functions?

Review Lessons 1-5 & 1-6: Identify the equations and/or inequalities for which each value is a solution.

Review Lesson 1-4: Solve the equation for y.

Vocabulary Review: Complete the sentence on the right with the correct word(s) from the left.

Use Your Vocabulary: Match the descriptions on the left with their sets on the right.

Reflection: Math Success

Solve It! The last digit in a 13-digit bar code is a check digit. Steps 1-3 show how the check digit checks the first 12 digits. Is it possible for 12 digits to generate two different check digits?

Solve It! Can two different sets of 12 digits have the same check digit?

Problem 1 Got It? Represent the relation in four different ways on the canvas provided.

Problem 2 Got It?

Problem 3 Got It? Is the relation a function?

Problem 3 Got It? Is the relation a function?

Problem 3 Got It? Resoning: How does a mapping diagram of a relation that is not a function differ from a mapping diagram of a function?

Problem 4 Got It? Use the vertical-line test. Which graph(s) represent functions? Select all that apply.

Problem 5 Got It?

Problem 5 Got It?

Problem 5 Got It?

Problem 6 Got It?

Vocabulary: Can you have a relation that is not a function? Can you have a function that is not a relation? Explain.

Error Analysis: Your friend writes, "In a function, every vertical line must intersect the graph in exactly one point." Explain your friend's error and rewrite the statement so that it is correct.

Reasoning: Why is there no horizontal-line test for functions?

Review Lessons 1-5 & 1-6: Identify the equations and/or inequalities for which each value is a solution.

Review Lesson 1-4: Solve the equation for y.

Vocabulary Review: Complete the sentence on the right with the correct word(s) from the left.

Use Your Vocabulary: Match the descriptions on the left with their sets on the right.

Reflection: Math Success

Solve It! Can two different sets of 12 digits have the same check digit?

Problem 3 Got It? Is the relation a function?

Problem 3 Got It? Resoning: How does a mapping diagram of a relation that is not a function differ from a mapping diagram of a function?