Features of Functions
Factoring
Binomial Multiplication
Linear/Exponential
100
What are the x-int for the following:
X-int: (3,0)(5,0)
100
Factor
a2-a-90
(a-10)(a+9)
100
(x+5)(x-5)
x2-25
100
What is the 4th term given the following equation:
y=11x-2
"Ultimate Question of Life, the Universe, and Everything"
42
200
What is the vertex for the following:
f(x)=-(x-3)2+5
Vertex: (3,5)
200
Factor
x2-15x+50
(x-10)(x-5)
200
(4x-4)(x-4)
4x2-20x+16
200
Write the equation for the following table:
y=-8x+48
300
What will the graphs orientation be for the following:
f(x)=(x+3)2-4
Shift 3 units to the right & 4 units down, facing upward.
300
Factor?
x2-4x+24
Not Factorable
300
(4x+1)(3x+2)
12x2+11x+2
300
How can the the following story be represented?
"You open a bank account with $5. Every month the money in your account is doubled."
* Growing Exponentially
* y=5(2)x
* Multiplying by two every month
400
Draw the graph for the following function:
f(x)=(x+3)2+2
400
Factor
-x2-7x-10
-(x+5)(x+2)
400
(5x-2)(4x+4)
20x2+12x-8
400
Construct a table from 0-4 for the following equation:
y=3(2)x
500
Write the equation in vertex form for the following graph:
f(x)=-(x-2)2+3
500
What are the x-int?
p2+3p-18
p=3,-6
500
(5x+3)(3x+4)
15x2+29x+12
500
Describe both differences and similarities shared when working with linear and exponential equations.
Questions must be answered fully for credit.
Both: Can be used to show growth/decay, use the variable x, and use multiple representations (tables, graphs, and equations).
Linear: Has a constant rate of change, forms a straight line when graphed, and written as y=mx+b.
Exponential: Grows at a faster rate, forms a curved line when graphed, and written as y=a(b)x.