Sketch the graph of a function g for which g ( 0 ) = g ( 2 ) = g ( 4 ) = 0 , g ′ ( 1 ) = g ′ ( 3 ) = 0 , g ′ ( 0 ) = g ′ ( 4 ) = 1 , g ′ ( 2 ) = − 1 , lim x → 5 − g ( x ) = ∞ , and lim x → − 1 + g ( x ) = − ∞ .
Sketch the graph of a function g for which g ( 0 ) = g ( 2 ) = g ( 4 ) = 0 , g ′ ( 1 ) = g ′ ( 3 ) = 0 , g ′ ( 0 ) = g ′ ( 4 ) = 1 , g ′ ( 2 ) = − 1 , lim x → 5 − g ( x ) = ∞ , and lim x → − 1 + g ( x ) = − ∞ .
Sketch the graph of a function g for which
g
(
0
)
=
g
(
2
)
=
g
(
4
)
=
0
,
g
′
(
1
)
=
g
′
(
3
)
=
0
,
g
′
(
0
)
=
g
′
(
4
)
=
1
,
g
′
(
2
)
=
−
1
,
lim
x
→
5
−
g
(
x
)
=
∞
, and
lim
x
→
−
1
+
g
(
x
)
=
−
∞
.
1. Evaluate lim (2x-5) given its graph below.
x →2
a.0 b. -1 c. 2 d. 1
2. Given the graph of f(x) below, evaluate its limit as x approaches 3.
a.2 b. 3 c. 1 d. 0
Sketch a graph with the following characteristics:
f'(x)>0, -inf<x<-1, 1<x<3
f'(x)<0, -1<x<0, 0<x<1, x>3
f"(x)>0, 0<x<2, 4<x<inf
f"(x)<0, -inf<x<0, 2<x<4
f'(-1)=f'(-1)=f'(3)=0
f"(2)=f"(4)=0
lim x approaches inf f(x)=0
lim x approaches 0^- f(x)=-inf
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