Domains
Properties of Functions (Chapter 2)
Quadratic Functions
Polynomial & Rational Functions
Logs/Exponentials
100

The domain of f(x)=(x+1)/(x-4)

What is: (-infinity, 4)U(4, infinity) 

100

A function is odd if: f(-x)=____.

What is  -f(x).

100

The vertex of: q(x)=34x2-54x+65

What is (27/34, 1481/34)?


(.79 , 43.56)

100

Determine the end behavior of:

g(x)= -x(x2+3)(x-2)2

As x approaches infinity, f(x) approaches

As x approaches - infinity, f(x) approaches

As x approaches infinity, f(x) approaches - infinity.

As x approaches - infinity, f(x) approaches infinity.


like -x3

100

Complete the definition of logs:

Logax=y iff

ay=x

200

Domain of f(x)=(3x+4)/(x2+9)

What is (-infinity, infinity)

200

Find fog(x) if:

f(x)=3x-5

g(x)=2-x2

What is   -3x2+1

200

The maximum value of the graph of the following:

              -(x-3)2+7    for    x>0

f(x) = { 

              -lx+3l          for   x<=0

What is 7      

alternative answer: What is (3,7)

200

The multiplicity of the largest zero from the following function:

g(x)= -x(x2+3)(x-2)5

Also indicate if that multiplicity is going to cross at the x-axis or bounce off.

The zero is x=2.  The multiplicity is 5.

It will cross at x=2 because the multiplicity is odd.

300

The domain of h(x)=log6(55-x)

What is (-infinity, 55)

300

The inverse function of f(x)=x/(3x+2)

What is f-1(x)=(2x)/(1-3x)
300

The graph of the following is increasing from___:

              -(x-3)2+7    for    x>0

f(x) = { 

              -lx+3l          for   x<=0

What is (-infinity,-3) & (0,3)
300

The horizontal or oblique asymptote of:

f(x)=(-x3+2x2)/ [5x(x2+1)]

What is a HA at y=-1/5

400

Domain of g-1(x) when g(x)=x/(x+3)

What is (-infinity, -1)U(1,infinity)

400
The average rate of change from -4 to 10 of 


r(x)=-2x2+1

What is -12

400

x2-3x-28>0

What is (-infinity, -4) U (7,infinity)

400

The horizontal/oblique asymptote of: 

f(x)=(-2x2+1)/(x-2)

What is the OA y=-2x-4

400

Solution of: 

log5(3x+7)+log5(x-5)=2

What is x=6

500

Domain of (fog)(x). 

f(x)=1/(x+2)

g(x)=4/(x-1)

What is (-infinity, -1)U(-1,1)U(1,infinity)

500

Find the difference quotient for f(x)=x2-2

What is   2x+h

500

Equation of a quadratic function with vertex (3,4) and going through point (-1,6)

What is f(x)=(1/8)(x-3)2+4

500
The Vertical Asymptotes/Holes of the following function:


h(x)=[(x-3)(x+2)]/[(x+2)(x-9)]

VA: x=9

Hole at x=-2

500

Solution to:

3x^2-6x+8=1

What is x=2,4

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