Math 120 Intermediate Algebra Page 2
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Math 120 Intermediate Algebra
10. Graph each function using the method established in class.
One square = one unit.
(
)
a)
d)
|
|
√
b)
e)
(
)
c)
f)
11.
Give an example of each of the following.
a)
radical expression
e)
quadratic equation
b)
quadratic function
f)
rational equation
c)
rational expression
g)
radical function
d)
linear function
12.
Graph the function and solve the equation.
( )
a)
b)
Given the function ( )
13.
, answer the following.
List the domain and range of ( ) .
a)
Use interval notation.
(
)
( )
b)
Simplify completely.
14. Suppose that a flare is launched upward with an initial velocity of
from a height of
. Its height
in feet, ( ) after seconds is given by:
( )
.
a)
Find the height of the object after seconds.
b)
How many seconds will it take the object to hit the ground?
c)
When will it reach its maximum height? How high will the flare go?
List 4 methods of solving a quadratic equation. (Know the order in which the methods should be tried.)
Be able to differentiate between linear, quadratic, rational, or radical AND also functions, expressions, or
equations.
Know the Distance Formula, Vertex Form, Vertex Formula, how to CTS, Quadratic Formula
Know how to “read off” vertex, axis of symmetry, and extremum when the quadratic is in Vertex Form
Study Graphs (similar to last page of exam 3). You will be asked to find the function that describes the given
graph.
Let ( )
. Find all intercepts of the graph of and its vertex. Find the extremum. Use the
intercepts and vertex to graph the function. Label these points along with the axis of symmetry.
Study Sec 8.3 Notes examples 8 & 9
Use the discriminant to determine whether the following equations have solutions that are: two different
rational solutions; two different irrational solutions; exactly one rational solution; or two different imaginary
solutions.
and
Study Sec 8.4 example 11
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