Matching a Logarithmic Function with Its Graph In Exercises 37-40, use the graph of g x = l o g 3 x to match the given function with its graph. Then describe the relationship between the graphs of f and g . [The graphs are labelled (a), (b), (c), and (d).] (a) (b) (c) (d) f x = log 3 x + 2
Matching a Logarithmic Function with Its Graph In Exercises 37-40, use the graph of g x = l o g 3 x to match the given function with its graph. Then describe the relationship between the graphs of f and g . [The graphs are labelled (a), (b), (c), and (d).] (a) (b) (c) (d) f x = log 3 x + 2
Solution Summary: The author calculates that the matching graph of f(x)=mathrmlog_3x+2 is (a), but shifted 2 units upwards.
Matching a Logarithmic Function with Its Graph In Exercises 37-40, use the graph of
g
x
=
l
o
g
3
x
to match the given function with its graph. Then describe the relationship between the graphs of
f
and
g
.
[The graphs are labelled (a), (b), (c), and (d).]
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.
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