Unit 3 Review

Relations and Functions

100

What is the Domain?

{(-6,5), (3,8), (9,2), (-6, 0)}

-6,3,9

200

What is the Range?

{(2,7), (5,9), (12,3), (8,6), (3,-3)}

-3,3,6,7,9 

300

Determine if the relation is a function.

{(-4,8), (-3,1), (0,-5), (-3,2), (5,8)}

No

400

What is a relation?

A set of ordered pairs.

500

What is Domain and Range?

X-values and Y-values

Equations as Functions

100

Complete the relation.

y=-2x+5

{(0, ), (1, ), (3, ), (5, )}

5, 3, -1,-5

200

y=3/2 x-1

Complete the Relation using the equation.

{( ,-4), ( ,-1), ( ,2), ( ,5)}

-2, 0, 2, 4

300

Given the function g(x)= x²-2, find the range for the domain {-2, -1, 1, 3}

{-1,2,7}

400

Find the range of the function y=-x²-3x when the domain is {-5,0,2}

-10,0

500

What is a Function?

A special relationship between values; each input (x) has exactly one output (y).

Zeros

100

Find zeros algebraically 

f(x)=2x-6

x=3

200

Find the zeros Graphically 

f(x)=-x²-7x-10

x={-5,-2}

300

Graphically, what are the zeros of the function:

f(x)=x³+3x²-x-3

-3,-1,1

400

Algebraically, what are the zero(s) of the function:

f(x)=8x-16

x=2

500

What are zeros?

The x-intercepts of a function. where f(x)=0

Function Notation

100

What is the function value of 

f(6)=5x-20

10

200

If f(x)=x²+3x-2, find f(-2)

-4

300

If h(x)=l5x-17l, find h(3)

2

400

If g(x)=3x-2, find g(8)-g(-5)

39

500

If f(x)=3x²-2x+12 and g(x)=2x⁴-4x²-x+1

Find f(4)-g(2)

37

Arithmetic Sequence

100

What is the equation for Arithmetic Sequence?

a_n=d(n-1)+a₁

200

Which equation represents the n^th term of the sequence {2,-1,-4,-7....}?

a_n=-3n+5

300

Given the sequence {-1,3,7,11,....} find a₂₅

95

400

How many gallons of gas are left in the tank after driving 240 miles? 

9.6 gal

500

What is the definition of arithmetic sequence?

A sequence in which the difference between any two consecutive term is constant.