
Jeopardy: Functions, Relations in Math
Domain, Range, Vertical Line test
Diagnostic Assesment( A quick 3 question quiz that you can use as a preassement 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 = 3x^{2} + 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?
9x^{2} + 4y^{2}=36
Relation. This is the equation of an ellipse and doesn't pass the vertical or horizontal line tests .

200
If f(x) = x^{2} and g(x) = x – 1
What is (g* f)(x)
g(f(x)) = (x^{2}) – 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



