Key Features of Functions
Function Transformations
Piecewise Functions and Arithmetic Sequences
Quadratic and Absolute Value Inequalities
Systems of Equations and Inequalities
100

What is the y-intercept of the function 

y=-8

100

Write a new function that shifts the function below up 3 units

f(x) = x^2

g(x)=x^2 +3

100

Find the next 3 terms in the following sequence 

72, 78, 84, 90...

96, 102, 108

100

Solve the inequality 

abs(x)>5

x<-5 or x>5

100

How many solutions does this system of equations have? 

-2x +y=5

2x+4y=10

1 solution 

200

What are the x-intercepts of the function? 

x=-4, x=2

200

Write a new function that shifts the function below right 4 spaces 

f(x)=abs(x)

g(x)=abs(x-4)

200

What is d (the common difference) in the following sequence? 

54, 51, 48, 45... 

d = -3

200

Solve the inequality 

2abs(x-3) < 10

-2<x<8

200

Is (4,2) a solution to this system of inequalities

yes

300

What is the domain and range of the function? 

D: (-oo,oo)

R: (-9,oo)

300

Write a new function that reflects the function below across the x-axis and shifts it down 5

f(x)=x^2

g(x) = -x^2 - 5

300

What are the slopes for the 3 lines in the piecewise function: 

m=0, m=1, m=-1

300

Solve the inequality 

x^2-1<0

-1<x<1

300

Solve the system of linear inequalities by graphing 

400

Where is the function increasing and decreasing? 

Inc: (-1,oo)

Dec: (-oo,-1)

400

Write a new function that shifts the function below left 5 spaces, down 3 spaces and vertically stretches it by 2

f(x) = abs(x)

g(x) = 2abs(x+5)-3

400

Write the explicit definition for a sequence with 

a= 35 and a18 = 57

an = 23 + 2(n-1) 

400

Solve the inequality 

2x^2-3x>=x^2+x-3

x<=1 or x>=3

400

Solve the system of equations: 

(-8,-36) and (4,-12) 

500

Where is the function negative and positive? 

Pos: (-oo,-4), (2,oo)

Neg: (-4,2)

500

The domain of my function f(x) is [-6,6]. What is the domain of

f(x/3)

 

[-2,2]

500

Graph the piecewise function: 

500

Solve the inequality 

-x^2-x+12>=x^2+7x+12

-4<=x<=0

500

Solve the system of equations: 

(4,-2) and (12,0) 

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