@prefix concept: <https://w3id.org/kmath/concept/> .
@prefix course: <https://w3id.org/kmath/course/> .
@prefix math: <https://w3id.org/kmath/> .
@prefix rdfs: <http://www.w3.org/2000/01/rdf-schema#> .
@prefix review_status: <https://w3id.org/kmath/review_status/> .
@prefix scheme: <https://w3id.org/kmath/scheme/> .
@prefix skos: <http://www.w3.org/2004/02/skos/core#> .
@prefix textbook_section: <https://w3id.org/kmath/textbook_section/> .

concept:logarithmic_function_graph a math:Concept ;
    rdfs:label "로그함수의 그래프"@ko ;
    skos:altLabel "로그함수의 성질"@ko,
        "로그함수의 증가와 감소"@ko ;
    skos:broader concept:logarithmic_function ;
    skos:definition "y = log_a x(a > 0, a ≠ 1)의 그래프는 y = aˣ의 그래프와 직선 y = x에 대하여 대칭이다. 점 (1, 0)을 지나고 y축을 점근선으로 가지며, 정의역은 양의 실수 전체, 치역은 실수 전체이다. a > 1이면 x의 값이 커질 때 y의 값도 커지고 0 < a < 1이면 작아진다."@ko ;
    skos:editorialNote "2026-09-28 GRIP 대수 개념서와 시발점 워크북 대수가 독립된 학습 항목으로 다루는 것을 근거로 추가했다. 도메인 전문가 검토가 필요하다."@ko ;
    skos:inScheme scheme:concepts ;
    skos:prefLabel "graph of a logarithmic function"@en,
        "로그함수의 그래프"@ko ;
    math:introducedIn course:algebra ;
    math:requires concept:exponential_function_graph,
        concept:inverse_function,
        concept:logarithmic_function ;
    math:requiresTransitively concept:coordinate_plane,
        concept:direct_proportion,
        concept:domain_codomain_range,
        concept:exponent_law,
        concept:exponential_function,
        concept:exponential_function_graph,
        concept:function,
        concept:function_composition,
        concept:function_graph,
        concept:graph,
        concept:integer,
        concept:integer_exponent,
        concept:inverse_function,
        concept:inverse_proportion,
        concept:irrational_number,
        concept:logarithm,
        concept:logarithmic_function,
        concept:nth_root,
        concept:nth_root_properties,
        concept:one_to_one_correspondence,
        concept:power,
        concept:rational_exponent,
        concept:rational_number,
        concept:real_exponent,
        concept:real_nth_root,
        concept:repeating_decimal,
        concept:set,
        concept:square_root ;
    math:reviewStatus review_status:needs_review ;
    math:sourceSection textbook_section:grip_algebra_04_01_logarithmic_function,
        textbook_section:grip_algebra_04_02_logarithmic_graph_translation,
        textbook_section:grip_algebra_04_03_logarithmic_graph_symmetry,
        textbook_section:sibaljeom_workbook_algebra_theme06_logarithmic_functions ;
    math:taughtIn course:algebra .