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Popolari Functions & Graphing Problemi
parità f(x)= 1/(x^2+8)
parity
f
(
x
)
=
1
x
2
+
8
extreme x/(x^2+4)
extreme
x
x
2
+
4
inversa g(x)=8e^{x^2+1}
inverse
g
(
x
)
=
8
e
x
2
+
1
extreme f(x)=x^3-12x^2-27x+9
extreme
f
(
x
)
=
x
3
−
1
2
x
2
−
2
7
x
+
9
inflection f(x)=-x^4-4x^3+8x-1
inflection
f
(
x
)
=
−
x
4
−
4
x
3
+
8
x
−
1
inflection f(x)=2x^3-3x^2+5x-5
inflection
f
(
x
)
=
2
x
3
−
3
x
2
+
5
x
−
5
inversa f(x)=(x-9)/4
inverse
f
(
x
)
=
x
−
9
4
ampiezza f(x)=5sin(x)
amplitude
f
(
x
)
=
5
sin
(
x
)
parità f(x)=x^2+3x-4
parity
f
(
x
)
=
x
2
+
3
x
−
4
inversa f(x)=2x^3-1
inverse
f
(
x
)
=
2
x
3
−
1
dominio-\sqrt[4]{x}+5
domain
−
4
√
x
+
5
retta (-3,-2),(2,4)
line
(
−
3
,
−
2
)
,
(
2
,
4
)
dominio 7x
domain
7
x
inversa y=x^3
inverse
y
=
x
3
extreme f(x)=(e^x)/(8+e^x)
extreme
f
(
x
)
=
e
x
8
+
e
x
codominio 4x-3
range
4
x
−
3
dominio f(x)=(sqrt(3+x))/(5-x)
domain
f
(
x
)
=
√
3
+
x
5
−
x
intercettano (3x^2-27)/(x^2+x-6)
intercepts
3
x
2
−
2
7
x
2
+
x
−
6
inversa 3x^2+5
inverse
3
x
2
+
5
extreme f(x)=-36w^2+240w
extreme
f
(
x
)
=
−
3
6
w
2
+
2
4
0
w
critical (-2)/(x+2)
critical
−
2
x
+
2
inversa g(x)=(x+6)^2+16
inverse
g
(
x
)
=
(
x
+
6
)
2
+
1
6
inversa f(x)=8-3x
inverse
f
(
x
)
=
8
−
3
x
asintoti (3x)/(x^2-4)
asymptotes
3
x
x
2
−
4
slopeintercept y=5x+2
slopeintercept
y
=
5
x
+
2
perpendicolare-6x+y=46,(-6,9)
perpendicular
−
6
x
+
y
=
4
6
,
(
−
6
,
9
)
asintoti csc(x)
asymptotes
csc
(
x
)
perpendicolare y=2.5x,(2,5)
perpendicular
y
=
2
.
5
x
,
(
2
,
5
)
extreme f(x)=xsqrt(4-x^2)
extreme
f
(
x
)
=
x
√
4
−
x
2
inversa y=-x^6
inverse
y
=
−
x
6
inversa log_{10}(x^2)
inverse
log
1
0
(
x
2
)
extreme x^4-8x^3
extreme
x
4
−
8
x
3
dominio f(x)=x^4+6
domain
f
(
x
)
=
x
4
+
6
dominio 2/((2/x))
domain
2
(
2
x
)
dominio f(x)=(x-2)/(x^3-49x)
domain
f
(
x
)
=
x
−
2
x
3
−
4
9
x
parallela-x-2y=4,(2,3)
parallel
−
x
−
2
y
=
4
,
(
2
,
3
)
inversa f(x)=(e^x)/(1+6e^x)
inverse
f
(
x
)
=
e
x
1
+
6
e
x
inversa 2sqrt(x+3)+1
inverse
2
√
x
+
3
+
1
punto medio (1,0),(1,-3)
midpoint
(
1
,
0
)
,
(
1
,
−
3
)
inversa f(x)=4(x+1)
inverse
f
(
x
)
=
4
(
x
+
1
)
asintoti (x^2-x-3)/(x+1)
asymptotes
x
2
−
x
−
3
x
+
1
intercettano (5x)/(x+3)
intercepts
5
x
x
+
3
intercettano f(x)=(x-3)(x+2)(x-7)
intercepts
f
(
x
)
=
(
x
−
3
)
(
x
+
2
)
(
x
−
7
)
inversa f(x)=2x+3y=6
inverse
f
(
x
)
=
2
x
+
3
y
=
6
extreme f(x)=x^3-3x^2
extreme
f
(
x
)
=
x
3
−
3
x
2
inversa f(x)= 1/2 x^3+2
inverse
f
(
x
)
=
1
2
x
3
+
2
spostamento-2sin(-4x+pi/2)
shift
−
2
sin
(
−
4
x
+
π
2
)
inversa f(x)=7(x-1)^3
inverse
f
(
x
)
=
7
(
x
−
1
)
3
inversa f(x)=-1+(x+2)^3
inverse
f
(
x
)
=
−
1
+
(
x
+
2
)
3
dominio f(x)=(x-3)/(9x-x^3)
domain
f
(
x
)
=
x
−
3
9
x
−
x
3
inversa ((5x-4))/(7x+3)
inverse
(
5
x
−
4
)
7
x
+
3
periodicità tan(2x-5)
periodicity
tan
(
2
x
−
5
)
dominio f(x)=-sqrt(9-x^2)
domain
f
(
x
)
=
−
√
9
−
x
2
dominio f(x)= 1/(x-1)
domain
f
(
x
)
=
1
x
−
1
extreme f(x)=x^2ln(x/6)
extreme
f
(
x
)
=
x
2
ln
(
x
6
)
inversa f(x)=sqrt(x)+sqrt(3-x)
inverse
f
(
x
)
=
√
x
+
√
3
−
x
dominio e^{3x}cos(2x)
domain
e
3
x
cos
(
2
x
)
dominio (x+4)/(20)
domain
x
+
4
2
0
slopeintercept 2x+3y=12
slopeintercept
2
x
+
3
y
=
1
2
distanza (-3,2),(2,-5)
distance
(
−
3
,
2
)
,
(
2
,
−
5
)
parallela y=3x,(-3,-5)
parallel
y
=
3
x
,
(
−
3
,
−
5
)
dominio f(x)=(-1)/(2sqrt(6-x))
domain
f
(
x
)
=
−
1
2
√
6
−
x
monotone f(x)=x^2-2x-3
monotone
f
(
x
)
=
x
2
−
2
x
−
3
dominio (x-7)^2+8
domain
(
x
−
7
)
2
+
8
inversa 6x-2
inverse
6
x
−
2
retta m=7,(-3,4)
line
m
=
7
,
(
−
3
,
4
)
f(x)=2(x+1)^2
f
(
x
)
=
2
(
x
+
1
)
2
asintoti f(x)=(3x)/((7x+14))
asymptotes
f
(
x
)
=
3
x
(
7
x
+
1
4
)
dominio f(x)=sqrt((16-x^2)(x+2))
domain
f
(
x
)
=
√
(
1
6
−
x
2
)
(
x
+
2
)
asintoti f(x)=(x^2-2x-15)/(x+3)
asymptotes
f
(
x
)
=
x
2
−
2
x
−
1
5
x
+
3
extreme f(x)=(4x)/(x^2+1)
extreme
f
(
x
)
=
4
x
x
2
+
1
asintoti f(x)=(x^3-27)/(x^2-8x+15)
asymptotes
f
(
x
)
=
x
3
−
2
7
x
2
−
8
x
+
1
5
inversa e^{sqrt(x+2)}
inverse
e
√
x
+
2
inversa x^2+4
inverse
x
2
+
4
dominio y=f(x)=ln(2x+1)
domain
y
=
f
(
x
)
=
ln
(
2
x
+
1
)
distanza (2,-2),(-4,4)
distance
(
2
,
−
2
)
,
(
−
4
,
4
)
perpendicolare y= 4/3 x+6,(-4,-1)
perpendicular
y
=
4
3
x
+
6
,
(
−
4
,
−
1
)
dominio f(x)=(x^2-3x-4)/(x-4)
domain
f
(
x
)
=
x
2
−
3
x
−
4
x
−
4
simmetria x^3+2x^2-x-2
symmetry
x
3
+
2
x
2
−
x
−
2
dominio f(x)=sqrt(x^2-49)
domain
f
(
x
)
=
√
x
2
−
4
9
dominio (1/(x-4))(1/(6-x))
domain
(
1
x
−
4
)
(
1
6
−
x
)
critical f(x)=xe^{-x}
critical
f
(
x
)
=
xe
−
x
asintoti f(x)=(x-2)/x
asymptotes
f
(
x
)
=
x
−
2
x
asintoti f(x)=tan(2x)
asymptotes
f
(
x
)
=
tan
(
2
x
)
inflection f(x)=x^4-4x^3-2x^2
inflection
f
(
x
)
=
x
4
−
4
x
3
−
2
x
2
parità f(x)=3x^4+5x^2+1
parity
f
(
x
)
=
3
x
4
+
5
x
2
+
1
dominio f(x)=(sqrt(x+1))/(x-7)
domain
f
(
x
)
=
√
x
+
1
x
−
7
inversa f(x)=(x+4)^3-2
inverse
f
(
x
)
=
(
x
+
4
)
3
−
2
f(x)=2sin(x)
f
(
x
)
=
2
sin
(
x
)
simmetria xy=7
symmetry
xy
=
7
asintoti f(x)=(3x-4)/(4x+9)
asymptotes
f
(
x
)
=
3
x
−
4
4
x
+
9
extreme f(x)=x^3-6x^2+5
extreme
f
(
x
)
=
x
3
−
6
x
2
+
5
asintoti (2x^2-7x+3)/(x^2-3x-2)
asymptotes
2
x
2
−
7
x
+
3
x
2
−
3
x
−
2
dominio f(x)=(4y^2+16y+64)/(y^3-6y^2)
domain
f
(
x
)
=
4
y
2
+
1
6
y
+
6
4
y
3
−
6
y
2
dominio f(x)= 1/(\frac{20){x-5}-2}
domain
f
(
x
)
=
1
2
0
x
−
5
−
2
inflection f(x)=x^3-3x^2
inflection
f
(
x
)
=
x
3
−
3
x
2
codominio-(x-7)^2+4
range
−
(
x
−
7
)
2
+
4
semplificare (8.5)(0.3)
simplify
(
8
.
5
)
(
0
.
3
)
intercettano f(x)=-1/4 x^2+2x-1
intercepts
f
(
x
)
=
−
1
4
x
2
+
2
x
−
1
dominio y=((x+9)(x-9))/(x^2+81)
domain
y
=
(
x
+
9
)
(
x
−
9
)
x
2
+
8
1
1
..
4
5
6
7
8
..
839