Relations and Functions Review

Function Vocab

100

A ..... is a set of ordered pairs that can be represented in several different ways; an equation, in a graph, with a table, or with a mapping.

What is a relation?

200

The set of first coordinates of a relation or a function is called the .....?

The set of second coordinates of a relation or a function is called the .....?

What is Domain? (Could also have x-value, input, or independent variable)

What is Range? (Could also have y-value, output, or dependent variable)

300

A diagram that illustrates how each element of the domain is paired with an element in the range is called a .....?

What is a mapping?

400

The test to tell if a graph is a function.

What is the Vertical Line Test?

500

A relation that assigns exactly one value in the range to each value in the domain?

What is a function?

Evaluating Function Rules

100

Evaluate

f(x)=-3x

find

f(2)

What is -6?

200

Evaluate

f(x)=2x+1

find

f(-2)

What is -3?

300

Evaluate

f(x)=-3 - x 

find

f(-6)

What is 3?

400

Evaluate 

f(x)=x^2+4x-10

find

f(3)

What is 11?

500

Evaluate

f(x)=x-2x^2

find

f(4)

What is -28?

Functions

100

Is the number of cans collected for recycling a discrete function or continuous function?

What is a discrete function?

200

Do the following set of ordered pairs represent a function?

{(6,-5), (0,7), (-1,1), (0,6)}

What is NO?

(The x-value 0 has two different y-values)

300

Is the distance a car travels from a garage a discrete function or continuous function?

What is a continuous function?

400

Does the following graph represent a function?

What is NO?

(It fails the vertical line test, Vertical line crosses graph more than one time)

500

Does the following table represent a function?

What is yes?

(Each input has exactly one output)

**Remember, a function can have y-values repeat, but not x-values**

Relations

100

State the domain of the function {(4,-2),(-1,1),(2,-3),(3,0)}

What is {-1,2,3,4}?

200

State the range of the function {(4,-2),(-1,1),(2,-3),(3,0)}

What is {-3,-2,0,1}?

300

Find the domain and range of the following mapping:

What is a domain of {-4,-3,2} and a range of {-2,-1,4}?

400

Find the domain and range of {(-5,8),(-5,4),(6,9),(3,10)}

What is a domain of {-5, 3, 6} and a range of {4, 8, 9, 10}?

500

Find the domain and range of {(-3,4),(0,10),(11,8),(4,5)}

What is a domain of {-3, 0, 4, 11} and a range of {4, 5, 8, 10}?

Is it a Function?

100

Is it a function? {(2, 3), (4, 5), ( -2, 6)}

What is YES, it is a function?

(no x-values repeat)

200

Is the following mapping a function?

What is no, it is not a function?

(The input -1 has two outputs)

300

Is it a function?

x	y
2	4
1	5
2	6

What is No?

(The domain value 2 has two different range values)

400

Is it a function?

What is NO because it does not pass the Vertical Line Test?

500

Is it a function?

What is YES because it passes the Vertical Line Test?