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Jeopardy: Functions, Relations in Math

Domain, Range, Vertical Line test

    Diagnostic Assesment( A quick 3 question quiz that you can use as a pre-assement before playing the game.)
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    
100 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
100 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) }
100 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
   
100 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
100 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.
100 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
   
200 What is the domain and Range of the relation below?
200 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.
200 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
   
300 What is the range of the relation below?
The range is { 1000≤y ≤ 1500}
200 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 .
200 If f(x) = x2 and g(x) = x – 1
What is (g* f)(x)

g(f(x)) = (x2) – 1
   
300 What is the range of the relation below?
The range of this function is {1} and {2≤y ≤3}
300 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.
300 The accompanying tables define functions f and g
What is (g * f)(3)?
f(3) = 5
g(5) = 8