Use the graph of y = f ( x ) to solve this exercise. a. What are the zeros of f ? b. Find the value(s) of x for which f ( x ) = -1. c. Find the value(s) of x for which f ( x ) = -2. d. Is f even, odd, or neither? e. Does f have an inverse function? f. Is f (0) a relative maximum , a relative minimum, or neither? g. Graph g ( x ) = f ( x + 1 ) − 1. h. Graph h ( x ) = 1 2 f ( 1 2 x ) . . i. Graph r ( x ) = − f ( − x ) + 1. j. Find the average rate of change of f from x 1 = − 2 t o x 2 = 1.
Use the graph of y = f ( x ) to solve this exercise. a. What are the zeros of f ? b. Find the value(s) of x for which f ( x ) = -1. c. Find the value(s) of x for which f ( x ) = -2. d. Is f even, odd, or neither? e. Does f have an inverse function? f. Is f (0) a relative maximum , a relative minimum, or neither? g. Graph g ( x ) = f ( x + 1 ) − 1. h. Graph h ( x ) = 1 2 f ( 1 2 x ) . . i. Graph r ( x ) = − f ( − x ) + 1. j. Find the average rate of change of f from x 1 = − 2 t o x 2 = 1.
Solution Summary: The author explains that the zero of a function is where the graph of function crosses the x -axis.
f. Is f(0) a relative maximum, a relative minimum, or neither?
g. Graph
g
(
x
)
=
f
(
x
+
1
)
−
1.
h. Graph
h
(
x
)
=
1
2
f
(
1
2
x
)
.
.
i. Graph
r
(
x
)
=
−
f
(
−
x
)
+
1.
j. Find the average rate of change of f from
x
1
=
−
2
t
o
x
2
=
1.
Formula Formula A function f(x) attains a local maximum at x=a , if there exists a neighborhood (a−δ,a+δ) of a such that, f(x)<f(a), ∀ x∈(a−δ,a+δ),x≠a f(x)−f(a)<0, ∀ x∈(a−δ,a+δ),x≠a In such case, f(a) attains a local maximum value f(x) at x=a .
1. For the following subsets of R3, explain whether or not they are a subspace of R³.
(a)
(b)
1.1
0.65
U
= span
-3.4
0.23
0.4
-0.44
0
(})}
a
V
{(2) | ER
(c) Z= the points in the z-axis
Solve the following equation forx.
leave
answer in
Simplified radical form.
5x²-4x-3=6
MATCHING LIST
Question 6
Listen
Use the given equations and their discriminants to match them to the type and
number of solutions.
00
ed
two irrational solutions
a. x²+10x-2=-24
two rational solutions
b. 8x²+11x-3=7
one rational solution
c. 3x²+2x+7=2
two non-real solutions
d. x²+12x+45 = 9
DELL
FLOWER
CHILD
10/20
All Changes S
$681 22991
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