High School Precalculus TEKS Standards

6 standards - Texas Essential Knowledge and Skills

Functions

111.42(b)(2)(A)

apply parent functions, including f(x) = x, f(x) = x^2, f(x) = sqrt(x), f(x) = |x|, f(x) = 1/x, f(x) = b^x, and f(x) = log_b(x), to describe transformations and key attributes.

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111.42(b)(2)(B)

determine the composition of two functions and explain the relationship between a function and its inverse using the composition of functions.

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Trigonometry

111.42(b)(3)(A)

determine the periodicity, amplitude, phase shift, and frequency of a sinusoidal function and apply these properties to model real-world situations.

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111.42(b)(3)(C)

verify the Pythagorean identity sin^2(x) + cos^2(x) = 1 and use it to verify other trigonometric identities.

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Conic Sections

111.42(b)(5)(A)

write the equation in standard form for a conic section, including circles, ellipses, parabolas, and hyperbolas, and determine its key attributes from its equation.

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Sequences and Series

111.42(b)(6)(A)

determine the sum of finite arithmetic and geometric series using a formula and apply these to solve real-world problems.

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