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Popolari Functions & Graphing Problemi
periodicità y=-4sin(6x+pi/2)
periodicity
y
=
−
4
sin
(
6
x
+
π
2
)
punto medio (-1/4 ,-1/7),(3/4 , 6/7)
midpoint
(
−
1
4
,
−
1
7
)
,
(
3
4
,
6
7
)
inversa y=-8/7 x+8
inverse
y
=
−
8
7
x
+
8
asintoti f(x)=(-x^3-5)/(x^2-4)
asymptotes
f
(
x
)
=
−
x
3
−
5
x
2
−
4
codominio x/(6x-5)
range
x
6
x
−
5
inflection x^3+2x^2+x-7
inflection
x
3
+
2
x
2
+
x
−
7
inversa f(x)= 1/5 x-2
inverse
f
(
x
)
=
1
5
x
−
2
dominio f(x)=5x^2-2x+2
domain
f
(
x
)
=
5
x
2
−
2
x
+
2
asintoti 1/(x+3)
asymptotes
1
x
+
3
pendenza-4/3 9
slope
−
4
3
9
asintoti (x-9)/(sqrt(4x^2+3x+2))
asymptotes
x
−
9
√
4
x
2
+
3
x
+
2
dominio 9x-4
domain
9
x
−
4
extreme f(x)=x^3-12x+2
extreme
f
(
x
)
=
x
3
−
1
2
x
+
2
parità f(x)= 1/(x^2+3)
parity
f
(
x
)
=
1
x
2
+
3
perpendicolare y= 1/3 x-2
perpendicular
y
=
1
3
x
−
2
dominio g(x)=(sqrt(x-2))/(x-7)
domain
g
(
x
)
=
√
x
−
2
x
−
7
periodicità f(x)=2sin(pi/2 x)
periodicity
f
(
x
)
=
2
sin
(
π
2
x
)
dominio x/(1-x)
domain
x
1
−
x
dominio x-8
domain
x
−
8
inversa f(x)=50-4x
inverse
f
(
x
)
=
5
0
−
4
x
inversa ln(x+9)
inverse
ln
(
x
+
9
)
asintoti (x^3)/(x^2-9)
asymptotes
x
3
x
2
−
9
retta (-6,-5),(-4,-4)
line
(
−
6
,
−
5
)
,
(
−
4
,
−
4
)
inversa f(x)=(5x+4)/(x+5)
inverse
f
(
x
)
=
5
x
+
4
x
+
5
dominio-1-1/(x^2-4)
domain
−
1
−
1
x
2
−
4
codominio f(x)= 1/(x+3)
range
f
(
x
)
=
1
x
+
3
slopeintercept 6x-7y-14=0
slopeintercept
6
x
−
7
y
−
1
4
=
0
inversa f(x)= 1/(x+8)
inverse
f
(
x
)
=
1
x
+
8
dominio f(x)=2x-74
domain
f
(
x
)
=
2
x
−
7
4
extreme f(x)=x^4-4x^3+9
extreme
f
(
x
)
=
x
4
−
4
x
3
+
9
inversa-x^2+1
inverse
−
x
2
+
1
critical f(x)=4x^3+7x^2-20x+9
critical
f
(
x
)
=
4
x
3
+
7
x
2
−
2
0
x
+
9
inflection f(x)= 7/(x-7)
inflection
f
(
x
)
=
7
x
−
7
dominio 2x^2-8
domain
2
x
2
−
8
codominio-x^2-5
range
−
x
2
−
5
punto medio (10,5),(4,-1)
midpoint
(
1
0
,
5
)
,
(
4
,
−
1
)
critical f(x)=1-5x
critical
f
(
x
)
=
1
−
5
x
dominio f(x)=(1-e^{x^2})/(1-e^{1-x^2)}
domain
f
(
x
)
=
1
−
e
x
2
1
−
e
1
−
x
2
y=x^2-6x+8
y
=
x
2
−
6
x
+
8
inversa 10x-10
inverse
1
0
x
−
1
0
parità f(x)=-4x^5+3x^2
parity
f
(
x
)
=
−
4
x
5
+
3
x
2
retta (330,0),(445,560)
line
(
3
3
0
,
0
)
,
(
4
4
5
,
5
6
0
)
pendenza 3x+3y=18
slope
3
x
+
3
y
=
1
8
dominio (2x+1)/(3x)
domain
2
x
+
1
3
x
intercettano f(x)=-x^2+5x+6
intercepts
f
(
x
)
=
−
x
2
+
5
x
+
6
distanza (1,3),(3,1)
distance
(
1
,
3
)
,
(
3
,
1
)
dominio 1/(x^3-x)
domain
1
x
3
−
x
asintoti f(x)=(x^2)/(2x^2-2)
asymptotes
f
(
x
)
=
x
2
2
x
2
−
2
perpendicolare 2x+5y=10
perpendicular
2
x
+
5
y
=
1
0
dominio-x^2+6x-5
domain
−
x
2
+
6
x
−
5
perpendicolare x+y=-1
perpendicular
x
+
y
=
−
1
inversa f(x)=9(x-2)
inverse
f
(
x
)
=
9
(
x
−
2
)
inversa f(x)=1+1/(x-3)
inverse
f
(
x
)
=
1
+
1
x
−
3
dominio (x+1)/(x-1)
domain
x
+
1
x
−
1
inversa f(x)=1.7sqrt(-(x-7.35))-3.6
inverse
f
(
x
)
=
1
.
7
√
−
(
x
−
7
.
3
5
)
−
3
.
6
dominio 5(x/(x+2))-2
domain
5
(
x
x
+
2
)
−
2
dominio f(x)=ln(1/x-1/(1-x))
domain
f
(
x
)
=
ln
(
1
x
−
1
1
−
x
)
slopeintercept 7x+2y=14
slopeintercept
7
x
+
2
y
=
1
4
codominio xsqrt(36-x)
range
x
√
3
6
−
x
asintoti f(x)= x/(x(x+7))
asymptotes
f
(
x
)
=
x
x
(
x
+
7
)
intercettano f(x)=x^2+22x+117
intercepts
f
(
x
)
=
x
2
+
2
2
x
+
1
1
7
retta (-4.93,0.87),(-5.55,0.9)
line
(
−
4
.
9
3
,
0
.
8
7
)
,
(
−
5
.
5
5
,
0
.
9
)
retta (2,2),(3,6)
line
(
2
,
2
)
,
(
3
,
6
)
extreme x-8/(x^2)
extreme
x
−
8
x
2
codominio f(x)=-e^{-x}
range
f
(
x
)
=
−
e
−
x
inversa f(x)=a^x
inverse
f
(
x
)
=
a
x
extreme f(x)=x+(16)/x
extreme
f
(
x
)
=
x
+
1
6
x
inversa y=ln(3x)
inverse
y
=
ln
(
3
x
)
dominio f(x)=(sqrt(2-x))/(x^2+4x)
domain
f
(
x
)
=
√
2
−
x
x
2
+
4
x
f(x)=ln(x)
f
(
x
)
=
ln
(
x
)
spostamento f(x)=6cos(3x+pi/2)
shift
f
(
x
)
=
6
cos
(
3
x
+
π
2
)
intercettano f(x)=0.55*x-2.8e^5
intercepts
f
(
x
)
=
0
.
5
5
·
x
−
2
.
8
e
5
asintoti f(x)=2^{x/2}
asymptotes
f
(
x
)
=
2
x
2
retta (0,4),(-3,0)
line
(
0
,
4
)
,
(
−
3
,
0
)
pendenza 2y=4x+5
slope
2
y
=
4
x
+
5
ampiezza 2cos(3x+pi/2)
amplitude
2
cos
(
3
x
+
π
2
)
codominio f(x)=|x|-4
range
f
(
x
)
=
|
x
|
−
4
dominio f(x)=(\sqrt[3]{x-3})/(x^3-3)
domain
f
(
x
)
=
3
√
x
−
3
x
3
−
3
monotone 9x^{(2)}-x^3-3
monotone
9
x
(
2
)
−
x
3
−
3
inversa f(x)=((4x-1))/((2x+3))
inverse
f
(
x
)
=
(
4
x
−
1
)
(
2
x
+
3
)
inversa (x-4)^3
inverse
(
x
−
4
)
3
extreme 60x^2-20x^3
extreme
6
0
x
2
−
2
0
x
3
dominio f(x)=sqrt((1+2x)/x)
domain
f
(
x
)
=
√
1
+
2
x
x
dominio sqrt(4-z^2)
domain
√
4
−
z
2
dominio (x^3+7x^2+12x)/(x^3+x^2-2x)
domain
x
3
+
7
x
2
+
1
2
x
x
3
+
x
2
−
2
x
inversa f(x)=(x+16)^3
inverse
f
(
x
)
=
(
x
+
1
6
)
3
asintoti f(x)=(x^2-4)/(x-1)
asymptotes
f
(
x
)
=
x
2
−
4
x
−
1
dominio f(x)= 1/(x+4)+1
domain
f
(
x
)
=
1
x
+
4
+
1
intercettano y=x^2+x+1
intercepts
y
=
x
2
+
x
+
1
inversa sqrt(x-1)-4
inverse
√
x
−
1
−
4
y=(1-x)^2
y
=
(
1
−
x
)
2
dominio (4x-3)/(6-3x)
domain
4
x
−
3
6
−
3
x
asintoti-1/(x-4)
asymptotes
−
1
x
−
4
inversa log_{3}(x-9)
inverse
log
3
(
x
−
9
)
asintoti f(x)=(x^2+9)/(x^2-9)
asymptotes
f
(
x
)
=
x
2
+
9
x
2
−
9
simmetria x^5
symmetry
x
5
inversa f(x)=(x+2)^{1/5}+3
inverse
f
(
x
)
=
(
x
+
2
)
1
5
+
3
asintoti f(x)=e^{x-3}+4
asymptotes
f
(
x
)
=
e
x
−
3
+
4
codominio sqrt(x^2-4)
range
√
x
2
−
4
asintoti f(x)=(x^2-x-56)/(2x-16)
asymptotes
f
(
x
)
=
x
2
−
x
−
5
6
2
x
−
1
6
1
2
3
4
5
6
7
..
839