6.2.19
1 part -- of 1 point

for the function below, determine whether the function is one-to-one.

$\{(10,10),(11,11),(12,41),(13,76)\}$

is the function one-to-one?

yes
no

Question

6.2.19
1 part -- of 1 point

for the function below, determine whether the function is one-to-one.

$\{(10,10),(11,11),(12,41),(13,76)\}$

is the function one-to-one?

yes
no

Accepted Answer

{ "quality": "clear", "question_count": 1, "skills_matched": [ "step_cot", "multiple_choice_formatter", "explain_then_answer", "quick" ], "needs_drawing": false, "concepts_used": [ "One-to-One Function" ], "new_concepts": [], "current_concepts": [ "One-to-One Function", "Definition of a Function" ] } ## Identify the set of ordered pairs $$ f = \{(10,10), (11,11), (12,41), (13,76)\} $$ ## Check the uniqueness of the outputs $$ \begin{aligned} &f(10) = 10 \ &f(11) = 11 \ &f(12) = 41 \ &f(13) = 76 \end{aligned} $$ Since every distinct input maps to a distinct output, the function is one-to-one.

Yes

No

{ "subject": "Mathematics", "question_type": "Multiple Choice", "knowledge_point": [ "Mathematics", "Algebra", "One-to-One Function" ] }

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QUESTION IMAGE

Question

Explanation:

Identify the set of ordered pairs

Check the uniqueness of the outputs

Answer: