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Popolari Functions & Graphing Problemi
codominio (x+6)/(4-sqrt(x^2-9))
range
x
+
6
4
−
√
x
2
−
9
dominio f(x)=sqrt(x^4-4x^2+4)
domain
f
(
x
)
=
√
x
4
−
4
x
2
+
4
asintoti f(x)=(x+5)/(x+1)
asymptotes
f
(
x
)
=
x
+
5
x
+
1
dominio x^2-9x
domain
x
2
−
9
x
critical x^4-6x^3
critical
x
4
−
6
x
3
dominio (x+5)^2+3
domain
(
x
+
5
)
2
+
3
codominio y=1
range
y
=
1
dominio f(x)= 8/(x-6)
domain
f
(
x
)
=
8
x
−
6
critical y=sqrt(4-x^2)
critical
y
=
√
4
−
x
2
inversa f(x)=((x+4))/((2x-7))
inverse
f
(
x
)
=
(
x
+
4
)
(
2
x
−
7
)
inversa x/(3x+6)
inverse
x
3
x
+
6
dominio f(x)=(-1)/((x+1)^2)-2
domain
f
(
x
)
=
−
1
(
x
+
1
)
2
−
2
slopeintercept x=3
slopeintercept
x
=
3
inversa f(x)=((x+5))/((x+7))
inverse
f
(
x
)
=
(
x
+
5
)
(
x
+
7
)
codominio sqrt(4x-2)
range
√
4
x
−
2
inversa y= 2/3 x-5
inverse
y
=
2
3
x
−
5
pendenza y= 3/2 x-6
slope
y
=
3
2
x
−
6
parità f(x)=(2x^4+5x+5)/(5x^4+3x-4)
parity
f
(
x
)
=
2
x
4
+
5
x
+
5
5
x
4
+
3
x
−
4
periodicità f(x)=4sin(1/4 pix-pi)-3
periodicity
f
(
x
)
=
4
sin
(
1
4
π
x
−
π
)
−
3
inversa f(x)=\sqrt[3]{x+27}
inverse
f
(
x
)
=
3
√
x
+
2
7
spostamento 3sin(pix+5)-4
shift
3
sin
(
π
x
+
5
)
−
4
inversa f(x)=e^x-1
inverse
f
(
x
)
=
e
x
−
1
slopeintercept y=2x-3
slopeintercept
y
=
2
x
−
3
extreme 3x^3-2x^2-5x+4
extreme
3
x
3
−
2
x
2
−
5
x
+
4
codominio f(x)=(5x^2+20x+23)/(x^2+4x+5)
range
f
(
x
)
=
5
x
2
+
2
0
x
+
2
3
x
2
+
4
x
+
5
dominio (3-x^2)/(x^2-4)
domain
3
−
x
2
x
2
−
4
simmetria y=(x+1)^2-9
symmetry
y
=
(
x
+
1
)
2
−
9
intercettano f(x)=3
intercepts
f
(
x
)
=
3
inversa 3-e^x
inverse
3
−
e
x
inversa log_{8}(x)
inverse
log
8
(
x
)
asintoti f(x)=(x+3)/(x^2+7x+12)
asymptotes
f
(
x
)
=
x
+
3
x
2
+
7
x
+
1
2
retta (x,2xe^x),(0,0)
line
(
x
,
2
xe
x
)
,
(
0
,
0
)
inversa f(x)=x^3-64
inverse
f
(
x
)
=
x
3
−
6
4
dominio f(x)=x^2+2x+2
domain
f
(
x
)
=
x
2
+
2
x
+
2
dominio y=2
domain
y
=
2
perpendicolare 2x-3y=9
perpendicular
2
x
−
3
y
=
9
asintoti f(x)=0.4(1/(4x))
asymptotes
f
(
x
)
=
0
.
4
(
1
4
x
)
inversa f(x)=3(x+7)^{1/4}
inverse
f
(
x
)
=
3
(
x
+
7
)
1
4
inversa f(x)=3+3/(3-x)
inverse
f
(
x
)
=
3
+
3
3
−
x
distanza (-2,5),(0,1)
distance
(
−
2
,
5
)
,
(
0
,
1
)
inversa f(x)=(e^x)/(1+2e^x)
inverse
f
(
x
)
=
e
x
1
+
2
e
x
intercettano f(x)=(8x)/(0.3x^2+4.1)-0.1
intercepts
f
(
x
)
=
8
x
0
.
3
x
2
+
4
.
1
−
0
.
1
inversa f(x)=-x^2+1
inverse
f
(
x
)
=
−
x
2
+
1
dominio f(x)=sqrt(x^2+4)
domain
f
(
x
)
=
√
x
2
+
4
codominio sqrt(5-x)
range
√
5
−
x
dominio f(x)=3x^2
domain
f
(
x
)
=
3
x
2
inversa f(x)=3x^2+2x-1
inverse
f
(
x
)
=
3
x
2
+
2
x
−
1
asintoti f(x)=(2x+4)/(x^2+2x-8)
asymptotes
f
(
x
)
=
2
x
+
4
x
2
+
2
x
−
8
ampiezza f(x)=2cos(3x-pi)
amplitude
f
(
x
)
=
2
cos
(
3
x
−
π
)
dominio f(x)=(37)/((1-6x)^2)
domain
f
(
x
)
=
3
7
(
1
−
6
x
)
2
retta y=3x+4
line
y
=
3
x
+
4
intercettano f(x)=(x+1)^2+9
intercepts
f
(
x
)
=
(
x
+
1
)
2
+
9
pendenza 9/8
slope
9
8
inversa f(x)= 5/9
inverse
f
(
x
)
=
5
9
dominio f(x)=-9/(2x^{2/3)}
domain
f
(
x
)
=
−
9
2
x
2
3
distanza (5,-1),(6,-6)
distance
(
5
,
−
1
)
,
(
6
,
−
6
)
asintoti x-1/x
asymptotes
x
−
1
x
simmetria y=-x^2-2x+1
symmetry
y
=
−
x
2
−
2
x
+
1
inversa sqrt(2-x)
inverse
√
2
−
x
dominio f(x)=sqrt(x^2)-4x+7
domain
f
(
x
)
=
√
x
2
−
4
x
+
7
dominio-3*2^{x-5}+5
domain
−
3
·
2
x
−
5
+
5
dominio x/(x^2-64)
domain
x
x
2
−
6
4
asintoti f(x)=((x+1))/((x-3)^2)
asymptotes
f
(
x
)
=
(
x
+
1
)
(
x
−
3
)
2
intercettano f(x)=-x^2+8x
intercepts
f
(
x
)
=
−
x
2
+
8
x
intercettano f(x)=2x^2-7x-4
intercepts
f
(
x
)
=
2
x
2
−
7
x
−
4
pendenza y=10
slope
y
=
1
0
dominio f(x)= 1/(2sqrt(4-x))
domain
f
(
x
)
=
1
2
√
4
−
x
dominio (2x+1)/(x-3)
domain
2
x
+
1
x
−
3
f(x)=x^2+4x+3
f
(
x
)
=
x
2
+
4
x
+
3
periodicità 7sin(pix)
periodicity
7
sin
(
π
x
)
dominio f(x)=sqrt(x^2)-2x-24
domain
f
(
x
)
=
√
x
2
−
2
x
−
2
4
extreme f(x)=(x^2-7)/(x-4)
extreme
f
(
x
)
=
x
2
−
7
x
−
4
intercettano ((3x-15))/(-x^2+5x)
intercepts
(
3
x
−
1
5
)
−
x
2
+
5
x
pendenza-x+3
slope
−
x
+
3
inversa f(x)=-1/2 x+15
inverse
f
(
x
)
=
−
1
2
x
+
1
5
retta (-3,7),(1,-1)
line
(
−
3
,
7
)
,
(
1
,
−
1
)
monotone f(x)=x^2-3x
monotone
f
(
x
)
=
x
2
−
3
x
dominio (x-8)/(2x+9)
domain
x
−
8
2
x
+
9
extreme f(x)=100x^{1/2}-10x
extreme
f
(
x
)
=
1
0
0
x
1
2
−
1
0
x
asintoti f(x)=(x^2)/(x-2)
asymptotes
f
(
x
)
=
x
2
x
−
2
inflection x^3-5x^2-8x+4
inflection
x
3
−
5
x
2
−
8
x
+
4
ampiezza 2cos(3x-pi/4)
amplitude
2
cos
(
3
x
−
π
4
)
dominio f(x)=|1+cos(3x)|
domain
f
(
x
)
=
|
1
+
cos
(
3
x
)
|
asintoti f(x)=(5x)/(x^3-8x^2)
asymptotes
f
(
x
)
=
5
x
x
3
−
8
x
2
inversa log_{3}(x)
inverse
log
3
(
x
)
dominio f(x)=(x-1)^3
domain
f
(
x
)
=
(
x
−
1
)
3
intercettano 1/(x-4)
intercepts
1
x
−
4
ampiezza 300sin(7t+pi)
amplitude
3
0
0
sin
(
7
t
+
π
)
critical 5x^2+210x-34775
critical
5
x
2
+
2
1
0
x
−
3
4
7
7
5
inversa f(x)= x/(2x+3)
inverse
f
(
x
)
=
x
2
x
+
3
codominio f(x)= 1/3 (x-2)^2+5
range
f
(
x
)
=
1
3
(
x
−
2
)
2
+
5
intercettano f(x)=(4x)/(2x-6)
intercepts
f
(
x
)
=
4
x
2
x
−
6
critical (x^3(x-5)^2)/(54)
critical
x
3
(
x
−
5
)
2
5
4
dominio f(x)=(x+1)/(x-3)
domain
f
(
x
)
=
x
+
1
x
−
3
intercettano f(x)=(x^2-2x-8)/(x-6)
intercepts
f
(
x
)
=
x
2
−
2
x
−
8
x
−
6
punto medio (-5,-4),(9,2)
midpoint
(
−
5
,
−
4
)
,
(
9
,
2
)
distanza (-5,-6),(-3,-8)
distance
(
−
5
,
−
6
)
,
(
−
3
,
−
8
)
extreme f(x)=(98)/(x^3)
extreme
f
(
x
)
=
9
8
x
3
dominio y=sqrt(x^2+4x+5)
domain
y
=
√
x
2
+
4
x
+
5
dominio y= 2/(x^2-3)
domain
y
=
2
x
2
−
3
1
..
5
6
7
8
9
..
839