Asymptote
Vertex
Applications
Polynomial
Inequality
100
Find the domain of the following rational function.

-4x2/(x-9)(x+4)

9,-4
100
Use the vertex and intercepts to sketch the graph of the quadratic function. Determine the domain.

f(x)=(x+4)2-9

(-∞,∞)
100
A rain Gutter Is made from sheets of aluminum that are 14 inches wide by turning up the edges to form aright angles. Determine the depth of the gutter that will maximize its cross-sectional area and allow the greatest amount of water to flow. What is the maximum cross-sectional area?
100
Use the Leading Coefficient Test to determine the end behavior of the graph of the given polynomial function.

-4x7-7x5+5x2+6

The graph of f(x) rises left and falls right.
100
Solve the polynomial inequality and write the solution set. Express the solution set in interval notation.

x2-6x>0

(-∞,0)∪(6,∞)
200
Find the horizontal asymptote, if any, of the graph of the rational function.

17x/9x2+2

0
200
Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry.

f(x)=(x+4)2-9

x=-4
200
Use the following steps to graph the polynomial function F(x)

-x2(x-3)(x+5)

Find the x-intercepts. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each intercept.

What are the x-intercepts

What does the graph do at x=0?

what does the graph do at the rightmost zero?

What does the graph do at the leftmost zero?

Find the y-intercept

Determine whether the graph has y-axis symmetry, origin symmetry, or neither

What is the graph of the function?

A
0,3,-5
The graph touches the x-axis and turns around
The graph crosses the x-axis
The graph crosses the x-axis
0
C
B
200
Solve the rational inequality. Express the solution set in interval notation.

x-4/x+5 > 0

(-∞,-5)∪(4,∞)
300
Find the horizontal asymptote, if any, of the graph of the rational function.

21x2/7x2+6

y=3
300
Use the vertex and intercepts to sketch the graph of the quadratic function. Determine the range.

f(x)=(x+4)2-9

[-9,∞)
300
Farmer Ed has 850 meters of fencing, and wants to enclose a rectangular plot that borders on a river, if Farmer Ed does not fence the side along the river, find the length and width of the plot that will maximize the area.
212.5
425
300
Find the zeros for the given polynomial function and give the multiplicity for each zero. State whether the graph crosses the x-axis, or touches the x-axis and turns around, at each zero.

x3-14x2+49x

The set of zeros is

At the leftmost zero

At the rightmost zero.

0,7
1
2
The graph crosses the x-axis
The graph touches the x-axis and turns around
400
Use the vertex and intercepts to sketch the graph of the quadratic function. Give the equation of the parabola's axis of symmetry.

4x-x2-5

2
500
Determine the range of the function.

4x-x2-5

(-∞,-1)
M
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