In Exercise 53-58, evaluate each piecewise function at the given values of the independent variable, g ( x ) = { x + 5 if x ≥ − 5 − ( x + 5 ) if x < − 5 a. g(0) b. g ( − 6 ) c. g ( − 5 )
In Exercise 53-58, evaluate each piecewise function at the given values of the independent variable, g ( x ) = { x + 5 if x ≥ − 5 − ( x + 5 ) if x < − 5 a. g(0) b. g ( − 6 ) c. g ( − 5 )
Solution Summary: The author calculates the value of g(0) in the piecewise function.
In Exercise 53-58, evaluate each piecewise function at the given values of the independent variable,
g
(
x
)
=
{
x
+
5
if
x
≥
−
5
−
(
x
+
5
)
if
x
<
−
5
a. g(0)
b.
g
(
−
6
)
c.
g
(
−
5
)
Definition Definition Group of one or more functions defined at different and non-overlapping domains. The rule of a piecewise function is different for different pieces or portions of the domain.
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
Precalculus, Books A La Carte Edition Plus MyLab Math with eText -- Access Card Package (6th Edition)
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