In Exercises 3 7 − 4 0 , give the domain and range. Then, use each graph to find (a) f ( − 2 ) , (b) f ( 0 ) , (c) f ( 1 / 2 ) , and (d) any values of x such that f ( x ) = 1 .
In Exercises 3 7 − 4 0 , give the domain and range. Then, use each graph to find (a) f ( − 2 ) , (b) f ( 0 ) , (c) f ( 1 / 2 ) , and (d) any values of x such that f ( x ) = 1 .
Solution Summary: The author calculates the value of f(-2) from the graph.
In Exercises
3
7
−
4
0
, give the domain and range. Then, use each graph to find (a)
f
(
−
2
)
, (b)
f
(
0
)
, (c)
f
(
1
/
2
)
, and (d) any values of
x
such that
f
(
x
)
=
1
.
Consider the following system of equations, Ax=b :
x+2y+3z - w = 2
2x4z2w = 3
-x+6y+17z7w = 0
-9x-2y+13z7w = -14
a. Find the solution to the system. Write it as a parametric equation. You can use a
computer to do the row reduction.
b. What is a geometric description of the solution? Explain how you know.
c. Write the solution in vector form?
d. What is the solution to the homogeneous system, Ax=0?
2. Find a matrix A with the following qualities
a. A is 3 x 3.
b. The matrix A is not lower triangular and is not upper triangular.
c. At least one value in each row is not a 1, 2,-1, -2, or 0
d. A is invertible.
Chapter 1 Solutions
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