TEKS 111.40(c)(6)(I)
solve rational equations that have real solutions;
Source: Texas Administrative Code §111.40 (Chapter 111) · Adopted 2012
Knowledge & Skills 111.40(c)(6)
Cubic, cube root, absolute value and rational functions, equations, and inequalities
The student applies mathematical processes to understand that cubic, cube root, absolute value and rational functions, equations, and inequalities can be used to model situations, solve problems, and make predictions. The student is expected to:
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Other expectations under 111.40(c)(6)
- TEKS 111.40(c)(6)(A) analyze the effect on the graphs of f(x) = x3 and f(x) = 3√x when f(x) is replaced by af(x), f(bx), f(x - c), and f(x) + d for specific positive and negative real values of a, b,…
- TEKS 111.40(c)(6)(B) solve cube root equations that have real roots;
- TEKS 111.40(c)(6)(C) analyze the effect on the graphs of f(x) = |x| when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d;
- TEKS 111.40(c)(6)(D) formulate absolute value linear equations;
- TEKS 111.40(c)(6)(E) solve absolute value linear equations;
- TEKS 111.40(c)(6)(F) solve absolute value linear inequalities;
- TEKS 111.40(c)(6)(G) analyze the effect on the graphs of f(x) = 1/x when f(x) is replaced by af(x), f(bx), f(x-c), and f(x) + d for specific positive and negative real values of a, b, c, and d;
- TEKS 111.40(c)(6)(H) formulate rational equations that model real-world situations;
- TEKS 111.40(c)(6)(J) determine the reasonableness of a solution to a rational equation;
- TEKS 111.40(c)(6)(K) determine the asymptotic restrictions on the domain of a rational function and represent domain and range using interval notation, inequalities, and set notation; and
- TEKS 111.40(c)(6)(L) formulate and solve equations involving inverse variation.