For Exercises 53–58, a. Identify the power function of the form y = x n that is the parent function to the given graph. b. In order, outline the transformations that would be required on the graph of y = x n to make the graph of the given function. See Section 2.6, page 236. c. Match the function with the graph of i–vi. k ( x ) = − ( x + 2 ) 3 + 3
For Exercises 53–58, a. Identify the power function of the form y = x n that is the parent function to the given graph. b. In order, outline the transformations that would be required on the graph of y = x n to make the graph of the given function. See Section 2.6, page 236. c. Match the function with the graph of i–vi. k ( x ) = − ( x + 2 ) 3 + 3
Solution Summary: The author explains the power function of the form y=xn that is the parent function to the graph.
a. Identify the power function of the form
y
=
x
n
that is the parent function to the given graph.
b. In order, outline the transformations that would be required on the graph of
y
=
x
n
to make the graph of the given function. See Section 2.6, page 236.
Chapter 4 Quiz 2 As always, show your work. 1) FindΘgivencscΘ=1.045.
2) Find Θ given sec Θ = 4.213.
3) Find Θ given cot Θ = 0.579. Solve the following three right triangles.
B
21.0
34.6° ca
52.5
4)c
26°
5)
A
b
6) B 84.0 a
42°
b
Q1: A: Let M and N be two subspace of finite dimension linear space X, show that if M = N
then dim M = dim N but the converse need not to be true.
B: Let A and B two balanced subsets of a linear space X, show that whether An B and
AUB are balanced sets or nor.
Q2: Answer only two
A:Let M be a subset of a linear space X, show that M is a hyperplane of X iff there exists
ƒ€ X'/{0} and a € F such that M = (x = x/f&x) = x}.
fe
B:Show that every two norms on finite dimension linear space are equivalent
C: Let f be a linear function from a normed space X in to a normed space Y, show that
continuous at x, E X iff for any sequence (x) in X converge to Xo then the sequence
(f(x)) converge to (f(x)) in Y.
Q3: A:Let M be a closed subspace of a normed space X, constract a linear space X/M as
normed space
B: Let A be a finite dimension subspace of a Banach space X, show that A is closed.
C: Show that every finite dimension normed space is Banach space.
• Plane II is spanned by the vectors:
P12
P2 = 1
• Subspace W is spanned by the vectors:
W₁ =
-- () ·
2
1
W2 =
0
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, algebra and related others by exploring similar questions and additional content below.