Recognize and appropriately apply the terminology and use of functions, both as one variable functions and as multi-variable functions.

1. Correctly convert between the various forms of describing and/or specifying mathematical functions of one variable. For example, convert f(x)=3x+7 to set-builder notation for points (x,y).
   Web Content:
   • Khan Academy: introduction-to-functions 9:33
   • Khan Academy: difference-between-equations-and-functions 4:18
   • Khan Academy: linear-function-graphs 11:49
   • Khan Academy: functions-part-2 9:53
   • Khan Academy: functions_1 worksheet
   • Khan Academy: functions--part-iii 9:12
2. Correctly identify and enumerate the domain and range of a given function of one variable. For example, given x∈{3,5,9,11,23}, give the Domain and Range of the function f(x)=(x+7)/2.
   Web Content:
   • Khan Academy: domain-of-a-function 9:59
   • Khan Academy: domain_of_a_function worksheet
   • Palay: Range of a Function 5:11 (script).
3. Correctly identify the domain and range of the basic trig functions, the log and ln functions, the sqrt function, and functions such as abs, ceil, and floor. For example, give the domain and range of the function log(x).
   Web Content:
   • Khan Academy: basic-trigonometry 9:17
   • Khan Academy: basic-trigonometry-ii 12:11
   • Khan Academy: v 4:06
   • Khan Academy: example--the-six-trig-ratios 4:45
   • Khan Academy: introduction-to-radians 10:51
   • Khan Academy: radian-and-degree-conversion-practice 7:12
   • Khan Academy: we-graph--domain--and-range-of-sine-function 9:22
   • Khan Academy: we-graph-of-cosine-function 5:18
   • Khan Academy: graphs-of-trig-functions 10:16
   • Khan Academy: Introduction to the inverse trig function arcsin 10:36
   • Khan Academy: Introduction to the inverse trig function arccos 13:38
   • Khan Academy: Understanding the arctan or inverse tangent function. 10:06
   • Palay: Some other Functions: Part I 8:26 (script).
   • Palay: Some other Functions: Part II 11:04 (script).
4. Correctly convert trig relations to functions by restricting their domain. For example, explain why sin(13π/6)=0.5 but sin^–1(0.5) is not 13π/6?
   Web Content:
   • Khan Academy: inverse-trig-functions--arcsin 10:36
   • Khan Academy: inverse-trig-functions--arccos 13:38
   • Khan Academy: inverse-trig-functions--arctan 10:06
5. Correctly evaluate multi-variable functions. For example, compute the value of round(3.24156,3).
   Web Content:
   • Palay: Functions with Multiple Arguments 8:27 (script).
6. Correctly evaluate the composition of functions. For example, give the value of sin(log(abs(arctan(3)))).
   Web Content:
   • Khan Academy: Evaluating composite functions example 4:11
   • Khan Academy: Evaluating composite functions: worksheet