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Accelerated Precalculus Semester One

District Assessment Connection for South Dakota Core Standards

Standards	Test Questions
11A4-01. Determine the domain, range, and intercepts of a function. Example: Determine that the domain of f(x) = (x - 2) / x	3, 4, 5, 6, 7, 12
11A4-02. Describe the behavior of a polynomial, given the leading coefficient, roots, and degree. Example: Given a 3rd degree polynomial with a double root at x = -2 , a root at x = 3 and a positive coefficient on the term of highest degree, describe/sketch the graph without a graphing tool.	8, 9, 10, 23
11A4-03. Apply transformations to graphs and describe the results. Change coefficients and/or constants. Example: Compare the graphs of f(x) = x² and g(x) = 2(x + 1)² + 3 Graph the inverse of a function. Example: Show the reflection of the graph of y = 2x + 3 across the line y = x. Example: Graph the inverse of the function y = x²	11, 17, 18, 19, 20 21, 22
11A4-04. Apply properties and definitions of trigonometric, exponential and logarithmic expressions. Ex. (1 -cos²x) / tan²x Ex. log₂(1/8) Ex. e^ln(e)	26, 27, 28, 29, 30, 31, 32, 33, 34, 35, 36, 37, 38, 39, 40, 41, 42, 43, 44, 45, 46, 47, 48, 49, 56, 57, 58, 59, 60, 61, 62, 63, 64, 65, 66
11A4-05. Describe characteristics of nonlinear functions and relations. Conic sections Example: Find the vertex, focus, axis of symmetry and directrix for the graph of the ellipse Trigonometric functions Example: Find the period, amplitude, vertical and horizontal shift of y = 3sin(2x + pi/3) - 2 Exponential and logarithmic functions Example: Write y = 3^2x in a logarithm form. Example: Determine domain and range of y = 3^2x and y = ln(5x + 1)	1, 2, 24, 25,50, 51, 52, 53, 54, 55
DDA4-01. Write equivalent forms of algebraic functions using properties of functions.	13, 14, 15, 16

TOTAL QUESTIONS = 66 questions