Unit 3 Review Jeopardy

Functions

100

If Mike claims his best friend is Carl on Monday, and on Tuesday he says his best friend is DeAngelo is this a functional relationship? Explain.

Answers may vary

200

What is the mathematical definition of a function?

Every input must have a unique output

300

Is the following coordinates a relation or a function? Why?

{(1, 3), (2, 5), (3, 8), (-1, 3), (0, 5), (1, 2)}

A relation because x repeats 

400

• Dylan and Beatrice are working with the same function. Dylan input -8 into the function and got an output of 8. Based on this information, which statement must be correct?
  • A. If Beatrice inputs -8 into the function, she could get an output of -8.
  • B. If Beatrice inputs -8 into the function, she must get an output of 8.
  • C. If Beatrice inputs 8 into the function, she must get an output of -8.
  • D. If Beatrice inputs 8 into the function, she must get an output of 8.

• B. If Beatrice inputs -8 into the function, she must get an output of 8.

500

Joshua claims that all relations are functions. Nathan claims that all functions are relations. Determine who is correct and provide an example that fully supports the claim.

Nathan because all functions are relations (which are coordinates), and x doesn't repeat in a function. 

Function Notation

100

g(x) = -4x + 3

Find g(x) when x = -15

g(-15)=63

300

h(x) = x³ - 2x + 4

h(-3) = ?

h(-3) = -17

Equations and Inequalities

200

−1 ≤ 2n + 4 − 5

0 ≤ n      OR       n ≥ 0

400

3(6b − 1) > 18 − 3b

b > 1

500

2(1 − 4r) < −2(r + 3) − 4

r > 2

Discrete Functions

100

True or False

In a discrete function the points are all connected with a line through them. 

False

200

The function  is defined by the coordinate pairs   

(-3, 1), (4, -2), (-5, 0) and (2, 0).  

Determine the domain and range of the function.  Explain how you know it is a function.

Domain: {-5, -3, 2, 0}

Range: {-2, 1, 0}

300

What is the domain of the relation shown below?

{(4,0), (1,1), (0,0), (1,-1), (4,-2)}

Domain: {0, 1, 4}

Range: {-2,-1, 0, 1}

Continuous Functions

100

True or False

Continuous Functions are NOT connected by a line and are just coordinates on the graph.

False