## Accelerated Precalculus S1 V04

Domain: Interpreting Functions (FIF)
 Learning Standard: Analyze functions using different representations. Test Questions FIF0912.07   Graph functions expressed symbolically and show key features of the graph, by hand in simple cases and using technology for more complicated cases. Graph rational functions, identifying zeros and asymptotes when suitable factorizations are available, and showing end behavior. 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 12, 26, 27, 28

Domain:  Building Functions (FBF)
 Learning Standard: Build a function that models a relationship between two quantities. Test Questions FBF0912.01    Write a function that describes a relationship between two quantities.★ Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time. 13, 14, 15, 16, 17, 18, 25 Learning Standard:  Build new functions from existing functions. Test Questions FBF0912.03   Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) for specific values of k (both positive and negative); find the value of k given the graphs. Experiment with cases and illustrate an explanation of the effects on the graph using technology. Include recognizing even and odd functions from their graphs and algebraic expressions for them. 22, 23, 24 FBF0912.04   Find inverse functions. Verify by composition that one function is the inverse of another.  Read values of an inverse function from a graph or a table, given that the function has an inverse.  Produce an invertible function from a non-invertible function by restricting the domain. 11, 19, 20, 21 FBF0912.05.  Understand the inverse relationship between exponents and logarithms and use this relationship to solve problems involving logarithms and exponents. 29, 30, 31, 32, 33, 34, 35, 36, 37, 38

Domain: Trigonometric Functions (FTF)
 Learning Standard: Extend the domain of trigonometric functions using the unit code. Test Questions FTF0912.03   Use special triangles to determine geometrically the values of sine, cosine, tangent for π/3, π/4 and π/6, and use the unit circle to express the values of sine, cosines, and tangent for x, π + x, and 2π – x in terms of their values for x, where x is any real number. 39, 40, 41, 51, 52, 53 FTF0912.04   Use the unit circle to explain symmetry (odd and even) and periodicity of trigonometric functions. 42, 43, 44, 45, 59 Learning Standard: Model periodic phenomena with trigonometric functions. Test Questions FTF0912.05   Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline. 54, 55, 56, 57, 58 FTF0912.07   Use inverse functions to solve trigonometric equations that arise in modeling contexts; evaluate the solutions using technology, and interpret them in terms of the context. 60, 64, 65, 66, 67 Learning Standard:  Prove and apply trigonometric identities. Test Questions FTF0912.08    Prove the Pythagorean identity sin2(θ) + cos2(θ) = 1 and use it to find sin(θ), cos(θ), or tan(θ) given sin(θ), cos(θ), or tan(θ) and the quadrant of the angle. 46, 47, 48, 49, 50, 61, 62, 63

TOTAL QUESTIONS = 67 questions         Free Response:  11 points                   Overall:  78 points