Complete Precalculus curriculum with video lessons, practice problems, step-by-step solutions, and progress tracking for every topic including functions, trigonometry, vectors, and conic sections.

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We include SAT-style practice questions and teach the exact Precalculus concepts tested on the SAT. Students report significantly improved test scores and confidence on exam day.

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Texas Precalculus Help: Master Concepts FastHelp

ID

Standard

StudyPug Topic

TX.P.2.A

Use the composition of two functions to model and solve real-world problems

TX.P.2.C

Represent a given function as a composite function of two or more functions

TX.P.2.D

Describe symmetry of graphs of even and odd functions

TX.P.2.E

Determine an inverse function, when it exists, for a given function over its domain or a subset of its domain and represent the inverse using multiple representations

TX.P.2.F

Graph exponential, logarithmic, rational, polynomial, power, trigonometric, inverse trigonometric, and piecewise defined functions, including step functions

TX.P.2.G

Graph functions, including exponential, logarithmic, sine, cosine, rational, polynomial, and power functions and their transformations, including af(x), f(x) + d, f(x - c), f(bx) for specific values of a, b, c, and d, in mathematical and real-world problems

TX.P.2.H

Graph arcsin x and arccos x and describe the limitations on the domain

TX.P.2.I

TX.P.2.J

Analyze and describe end behavior of functions, including exponential, logarithmic, rational, polynomial, and power functions, using infinity notation to communicate this characteristic in mathematical and real-world problems

TX.P.2.K

Analyze characteristics of rational functions and the behavior of the function around the asymptotes, including horizontal, vertical, and oblique asymptotes

TX.P.2.L

Determine various types of discontinuities in the interval (-∞, ∞) as they relate to functions and explore the limitations of the graphing calculator as it relates to the behavior of the function around discontinuities

TX.P.2.N

Analyze situations modeled by functions, including exponential, logarithmic, rational, polynomial, and power functions, to solve real-world problems

TX.P.2.O

Develop and use a sinusoidal function that models a situation in mathematical and real-world problems

TX.P.2.P

Determine the values of the trigonometric functions at the special angles and relate them in mathematical and real-world problems

TX.P.3.A

Graph a set of parametric equations

TX.P.3.C

Use parametric equations to model and solve mathematical and real-world problems

TX.P.3.D

Graph points in the polar coordinate system and convert between rectangular coordinates and polar coordinates

TX.P.3.E

Graph polar equations by plotting points and using technology

TX.P.3.F

Determine the conic section formed when a plane intersects a double-napped cone

TX.P.4.A

Determine the relationship between the unit circle and the definition of a periodic function to evaluate trigonometric functions in mathematical and real-world problems

TX.P.4.B

Describe the relationship between degree and radian measure on the unit circle

TX.P.4.C

Represent angles in radians or degrees based on the concept of rotation and find the measure of reference angles and angles in standard position

TX.P.4.D

Represent angles in radians or degrees based on the concept of rotation in mathematical and real-world problems, including linear and angular velocity

TX.P.4.E

Determine the value of trigonometric ratios of angles and solve problems involving trigonometric ratios in mathematical and real-world problems

TX.P.4.F

Use trigonometry in mathematical and real-world problems, including directional bearing

TX.P.4.G

Use the Law of Sines in mathematical and real-world problems

TX.P.4.H

Use the Law of Cosines in mathematical and real-world problems

TX.P.4.I

Use vectors to model situations involving magnitude and direction

TX.P.4.J

Represent the addition of vectors and the multiplication of a vector by a scalar geometrically and symbolically

TX.P.4.K

Apply vector addition and multiplication of a vector by a scalar in mathematical and real-world problems

TX.P.5.A

Evaluate finite sums and geometric series, when possible, written in sigma notation