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Popolari Functions & Graphing Problemi
dominio f(x)= 7/x-9/(x+9)
domain
f
(
x
)
=
7
x
−
9
x
+
9
spostamento 1.5cos(6x-3.2)
shift
1
.
5
cos
(
6
x
−
3
.
2
)
asintoti (4x^2)/(x^2-9)
asymptotes
4
x
2
x
2
−
9
dominio f(x)=sqrt(x)+sqrt(7-x)
domain
f
(
x
)
=
√
x
+
√
7
−
x
dominio 6x^2-54x+120
domain
6
x
2
−
5
4
x
+
1
2
0
inversa f(x)= 1/(sqrt(2x+3))
inverse
f
(
x
)
=
1
√
2
x
+
3
parità f(x)= 1/x+2x
parity
f
(
x
)
=
1
x
+
2
x
vertici y=7(x+3)^2-1
vertices
y
=
7
(
x
+
3
)
2
−
1
inversa f(x)=(x-1)^2-2
inverse
f
(
x
)
=
(
x
−
1
)
2
−
2
retta y= 3/2 x+1
line
y
=
3
2
x
+
1
f(x)= 2/((x-1))
f
(
x
)
=
2
(
x
−
1
)
codominio e^{-x}-1
range
e
−
x
−
1
dominio sin(sqrt(1-x^2))
domain
sin
(
√
1
−
x
2
)
dominio f(x)=(3/2)
domain
f
(
x
)
=
(
3
2
)
inversa f(x)=(3x)/(2x+3)
inverse
f
(
x
)
=
3
x
2
x
+
3
slopeintercept x+y=8
slopeintercept
x
+
y
=
8
asintoti 6/((x-1)^3)
asymptotes
6
(
x
−
1
)
3
dominio f(x)=(sqrt(x+1))/(x-3)
domain
f
(
x
)
=
√
x
+
1
x
−
3
critical f(x)=(x^2-4)^{2/3}
critical
f
(
x
)
=
(
x
2
−
4
)
2
3
inflection 2x^3-24x-5
inflection
2
x
3
−
2
4
x
−
5
dominio f(x)= x/4
domain
f
(
x
)
=
x
4
inflection f(x)=(x-3)^2
inflection
f
(
x
)
=
(
x
−
3
)
2
asintoti f(x)=-1/(x^2)
asymptotes
f
(
x
)
=
−
1
x
2
simmetria 3y=5x^2-4
symmetry
3
y
=
5
x
2
−
4
inversa 2sin(x)
inverse
2
sin
(
x
)
retta (0.01,0.2),(0.025,0.8)
line
(
0
.
0
1
,
0
.
2
)
,
(
0
.
0
2
5
,
0
.
8
)
inversa g(x)= 1/x-2
inverse
g
(
x
)
=
1
x
−
2
parità f(x)=sqrt(cos(x^2))
parity
f
(
x
)
=
√
cos
(
x
2
)
dominio ((x^3-x))/(1+x^2)
domain
(
x
3
−
x
)
1
+
x
2
dominio f(x)= 4/(t^2-1)
domain
f
(
x
)
=
4
t
2
−
1
inversa F(C)= 9/5 C+32
inverse
F
(
C
)
=
9
5
C
+
3
2
dominio f(x)=sqrt(x^2-6x-7)
domain
f
(
x
)
=
√
x
2
−
6
x
−
7
dominio f(x)=-sqrt(x)-2
domain
f
(
x
)
=
−
√
x
−
2
retta (4,7),(0,3)
line
(
4
,
7
)
,
(
0
,
3
)
asintoti f(x)=(3x)/(x^2-16)
asymptotes
f
(
x
)
=
3
x
x
2
−
1
6
pendenza f(x)=5x+2
slope
f
(
x
)
=
5
x
+
2
intercettano 5
intercepts
5
codominio-sqrt(x+3)-1
range
−
√
x
+
3
−
1
extreme f(x)= 1/(x^2+2x+2)
extreme
f
(
x
)
=
1
x
2
+
2
x
+
2
simmetria 2x^2+4x-1
symmetry
2
x
2
+
4
x
−
1
extreme f(x)=(x^2+4)/(8x)
extreme
f
(
x
)
=
x
2
+
4
8
x
punto medio (89,43),(73,-66)
midpoint
(
8
9
,
4
3
)
,
(
7
3
,
−
6
6
)
monotone f(x)=x^2+6x+9
monotone
f
(
x
)
=
x
2
+
6
x
+
9
intercettano f(x)=-3(x-4)^2(x^2-1)
intercepts
f
(
x
)
=
−
3
(
x
−
4
)
2
(
x
2
−
1
)
dominio y=log_{10}(1-x^2)
domain
y
=
log
1
0
(
1
−
x
2
)
vertici y=6x^2-12x+1
vertices
y
=
6
x
2
−
1
2
x
+
1
monotone 4/x
monotone
4
x
codominio x-1/x
range
x
−
1
x
intercettano-2x^5+3x^3+2x^2-x-3
intercepts
−
2
x
5
+
3
x
3
+
2
x
2
−
x
−
3
punto medio (-2,5),(6,-9)
midpoint
(
−
2
,
5
)
,
(
6
,
−
9
)
inflection (x^3)/(x^2+5)
inflection
x
3
x
2
+
5
dominio (10)/(sqrt(1-x))
domain
1
0
√
1
−
x
inversa f(x)=x^{11}
inverse
f
(
x
)
=
x
1
1
critical ((3e^x))/(3e^x+7)
critical
(
3
e
x
)
3
e
x
+
7
inversa f(x)=log_{4}(x)
inverse
f
(
x
)
=
log
4
(
x
)
codominio f(x)=(4x^2-5)/(2x^2+8)
range
f
(
x
)
=
4
x
2
−
5
2
x
2
+
8
asintoti-tan(x)
asymptotes
−
tan
(
x
)
simmetria 4x^2-14x+8
symmetry
4
x
2
−
1
4
x
+
8
f(x)=sqrt(x-2)
f
(
x
)
=
√
x
−
2
extreme f(x)=6x^4+24x^3
extreme
f
(
x
)
=
6
x
4
+
2
4
x
3
inversa f(x)=1+e^{-x}
inverse
f
(
x
)
=
1
+
e
−
x
inversa f(x)=6-x^3
inverse
f
(
x
)
=
6
−
x
3
inflection f(x)=x^3-4x^2-16x+5
inflection
f
(
x
)
=
x
3
−
4
x
2
−
1
6
x
+
5
perpendicolare y=x-3,(2,1)
perpendicular
y
=
x
−
3
,
(
2
,
1
)
codominio f(x)=(x-2)/((x-2)^2)
range
f
(
x
)
=
x
−
2
(
x
−
2
)
2
monotone f(x)= 1/(x-4)+1
monotone
f
(
x
)
=
1
x
−
4
+
1
retta (0,0),(r,h)
line
(
0
,
0
)
,
(
r
,
h
)
dominio y=ln(x+3)
domain
y
=
ln
(
x
+
3
)
perpendicolare 3x+6y=5
perpendicular
3
x
+
6
y
=
5
pendenza 4x+4y=4
slope
4
x
+
4
y
=
4
extreme x^3-3x+2
extreme
x
3
−
3
x
+
2
dominio f(x)=-x+1
domain
f
(
x
)
=
−
x
+
1
perpendicolare y=4x+5
perpendicular
y
=
4
x
+
5
slopeintercept 20x+9y=8
slopeintercept
2
0
x
+
9
y
=
8
periodicità f(x)=sin(-4x)
periodicity
f
(
x
)
=
sin
(
−
4
x
)
codominio f(x)=-x^2+4x
range
f
(
x
)
=
−
x
2
+
4
x
codominio ln((-x+2)/(x+2))
range
ln
(
−
x
+
2
x
+
2
)
critical f(x)=24x-2x^2
critical
f
(
x
)
=
2
4
x
−
2
x
2
intercettano f(x)=2x^2+x-15
intercepts
f
(
x
)
=
2
x
2
+
x
−
1
5
spostamento 4-3sin(2/5 (x+1))
shift
4
−
3
sin
(
2
5
(
x
+
1
)
)
parità f(x)=-4
parity
f
(
x
)
=
−
4
extreme x^2+1
extreme
x
2
+
1
distanza (2,1),(4,-4)
distance
(
2
,
1
)
,
(
4
,
−
4
)
inversa y=-10x
inverse
y
=
−
1
0
x
dominio (2x^2+14x+29)/(x^2+7x+10)
domain
2
x
2
+
1
4
x
+
2
9
x
2
+
7
x
+
1
0
spostamento csc(x)
shift
csc
(
x
)
retta (-2pi,0),(-(3pi)/2 ,-A/2)
line
(
−
2
π
,
0
)
,
(
−
3
π
2
,
−
A
2
)
inversa f(x)=x^2+9
inverse
f
(
x
)
=
x
2
+
9
inversa f(x)=(4-x)^{1/4}
inverse
f
(
x
)
=
(
4
−
x
)
1
4
asintoti f(x)=(x^2+1)/(x-1)
asymptotes
f
(
x
)
=
x
2
+
1
x
−
1
intercettano f(x)=(x^2-4)/(x^2)
intercepts
f
(
x
)
=
x
2
−
4
x
2
retta m=2,(1,4)
line
m
=
2
,
(
1
,
4
)
inversa f(x)=sqrt(3x+9)
inverse
f
(
x
)
=
√
3
x
+
9
punto medio (-2,-7),(0,4)
midpoint
(
−
2
,
−
7
)
,
(
0
,
4
)
codominio f(x)=-e^{x+7}
range
f
(
x
)
=
−
e
x
+
7
critical xsqrt(8-x^2)
critical
x
√
8
−
x
2
retta (-1,3),(1,-5)
line
(
−
1
,
3
)
,
(
1
,
−
5
)
inversa h(x)= 3/2 (x-11)
inverse
h
(
x
)
=
3
2
(
x
−
1
1
)
asintoti f(x)=-2(5)^x
asymptotes
f
(
x
)
=
−
2
(
5
)
x
dominio g(x)=(3-x)/(x^2-2x-24)
domain
g
(
x
)
=
3
−
x
x
2
−
2
x
−
2
4
1
..
236
237
238
239
240
..
839