 Graphing Calculator Math Worksheets Scientific Calculator Chart Maker   Graphing Calc Scientific Calc Interactive Good Links      Graphing Calc Scientific Calc Interactive Good Links   # Jeopardy: Functions, Relations in Math

## Domain, Range, Vertical Line test

Welcome to a free online Jeopardy Game based on functions , relations including domain, range, vertical line test and 1 to 1 functions.
 Domain,Range Classify Functions Composition of Functions What is the domain of the relation below? f(x) ={ (1,3) , (2,4), (3,5) , (7,0) } The domain is all of the x values. Domain: 1,2,3, 7 Is the following set of ordered pairs a relation, a function, or a 1 to 1 function? { (13,14), (13,5) , (16,7), (18,13) } Relation. 13 can't repeat { (13,14), (13,5) , (16,7), (18,13) } If f(x) = 2x + 3 and g(x) = x – 1 What is (f * g)(2)? g(2) = 2 – 1 = 1 Now substitue the 1 into f f(1)= 2(1)+ 3 = 5 What is the range of the relation below? f(x) ={ (1,8) , (2,3), (4,6) , (90,2) } The range is all of the y values. Domain: 8,3,6,2 Is the following set of ordered pairs a relation, a function, or a 1 to 1 function? { (-3,4), (4,-5), (0,0), (8,9) Function. Every 'x' value is different. If f(x) = 5x + 3 and g(x) = 2x – 1 What is f ( g (3))? g(3) = 2(3) –1 = 5 f(5) = 5(5) +3 = 28 What is the domain and Range of the relation below?  Is the equation below relation a function, or a 1 to 1 function? y = 3x2 + 4x + 5 A Function. This is the equation of parabola . As you can see from the picture below, this passes the vertical line test. If f(x) = 2x and g(x) = x + 1 What is (f * g)(x) Substitute the entire g(x) in for 'x' in f(x) f((g(x)) = 2(g(x)) = 2(x+1) = 2x + 2 What is the range of the relation below? The range is { 1000≤y ≤ 1500} Is the equation below a relation, a function, or a 1 to 1 function? 9x2 + 4y2=36 Relation. This is the equation of an ellipse and doesn't pass the vertical or horizontal line tests . If f(x) = x2 and g(x) = x – 1 What is (g* f)(x) g(f(x)) = (x2) – 1 What is the range of the relation below? The range of this function is {1} and {2≤y ≤3} Is the equation below a relation, a function, or a 1 to 1 function? xy = 11 1 to 1 function this is the one type of hyperbola that is a 1 to 1 function. The accompanying tables define functions f and g What is (g * f)(3)? f(3) = 5 g(5) = 8