Function Terminology

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Across
  1. 6. The ______ of a function is the set of all values assumed by the dependent variable
  2. 9. The ______ variable is the input value (usually x)
  3. 10. A function value f(c) is a relative ______ of f when there exists an interval (a,b) that contains c such that a<x<b implies f(c)>=f(x)
  4. 11. The ______ variable is the output value (usually y)
  5. 13. There IS a ______ Line Test as well. (We will discuss it later.)
  6. 16. A function f is ______ on an interval when, for any x-values a and b in the interval, f(a)=f(b)
Down
  1. 1. A ______ is a relationship between two variables such that to each value of the independent variable there corresponds exactly one value of the dependent variable
  2. 2. A function f is ______ on an interval when, for any x-values a and b in the interval, a<b implies f(a)>f(b)
  3. 3. The ______ Line Test for Functions states that a set of points in a coordinate plane is the graph of y as a function of x if and only if no ______ line intersects the graph at more than one point
  4. 4. A function value f(c) is a relative ______ of f when there exists an interval (a,b) that contains c such that a<x<b implies f(c)<=f(x)
  5. 5. If f is defined by an algebraic expression and the domain is not specified, then the ______ domain consists of all real numbers for which the expression is defined
  6. 7. A function f is ______ when, for each x in the domain of f, f(-x)=f(x). This is known as having y-axis symmetry.
  7. 8. A function f is ______ on an interval when, for any x-values a and b in the interval, a<b implies f(a)<f(b)
  8. 12. The ______ of a function is the set of all values of the independent variable for which the function is defined
  9. 14. A function f is ______ when, for each x in the domain of f, f(-x)=-f(x). This is known as having origin symmetry.
  10. 15. Another term for a relative extreme is a ______ extreme.