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Popolari Functions & Graphing Problemi
inversa f(x)=x^2-1,x<= 0
inverse
f
(
x
)
=
x
2
−
1
,
x
≤
0
asintoti f(x)=-2/3 csc(2x)
asymptotes
f
(
x
)
=
−
2
3
csc
(
2
x
)
dominio f(x)=sqrt(1/x+1)
domain
f
(
x
)
=
√
1
x
+
1
simmetria 3x^2-2
symmetry
3
x
2
−
2
asintoti f(x)= 1/(x-3)+4
asymptotes
f
(
x
)
=
1
x
−
3
+
4
dominio f(x)=-10sqrt(6-11x)+10
domain
f
(
x
)
=
−
1
0
√
6
−
1
1
x
+
1
0
asintoti f(x)=2
asymptotes
f
(
x
)
=
2
critical f(x)=-6sin(-x+pi/2)
critical
f
(
x
)
=
−
6
sin
(
−
x
+
π
2
)
inversa 3x^2+2x
inverse
3
x
2
+
2
x
codominio f(x)=-4^x
range
f
(
x
)
=
−
4
x
codominio \sqrt[3]{x-8}
range
3
√
x
−
8
asintoti f(x)= 1/(x-3)+2
asymptotes
f
(
x
)
=
1
x
−
3
+
2
codominio f(x)=x^2-25,x>= 5
range
f
(
x
)
=
x
2
−
2
5
,
x
≥
5
dominio (x-8)^2
domain
(
x
−
8
)
2
inversa f(x)= 1/(x+1)
inverse
f
(
x
)
=
1
x
+
1
spostamento 3cos(5x-9)
shift
3
cos
(
5
x
−
9
)
codominio x^2+4x+7
range
x
2
+
4
x
+
7
periodicità 3cot(2pix)
periodicity
3
cot
(
2
π
x
)
inflection 2x^3-9x^2-24x+30
inflection
2
x
3
−
9
x
2
−
2
4
x
+
3
0
inversa f(x)=sqrt(2-x/(x-2))
inverse
f
(
x
)
=
√
2
−
x
x
−
2
dominio 8x^2
domain
8
x
2
parità f(x)=x^2+10
parity
f
(
x
)
=
x
2
+
1
0
inversa y/(y+2)
inverse
y
y
+
2
inversa x^2+3x-4
inverse
x
2
+
3
x
−
4
dominio x^4-x^2
domain
x
4
−
x
2
simmetria x^2+x+2
symmetry
x
2
+
x
+
2
intercettano f(x)=-8sin(10x-pi/4)
intercepts
f
(
x
)
=
−
8
sin
(
1
0
x
−
π
4
)
inversa f(x)=x^2-6x+9
inverse
f
(
x
)
=
x
2
−
6
x
+
9
inversa f(x)= 1/x+1/(x^2)
inverse
f
(
x
)
=
1
x
+
1
x
2
inversa f(x)=ln(x+6)
inverse
f
(
x
)
=
ln
(
x
+
6
)
dominio (2x)/(x^2+1)
domain
2
x
x
2
+
1
asintoti f(x)=(x^3)/(81-x^2)
asymptotes
f
(
x
)
=
x
3
8
1
−
x
2
dominio 1+x^2
domain
1
+
x
2
retta (2,-3),(4,5)
line
(
2
,
−
3
)
,
(
4
,
5
)
f(x)=cos(x)sin(x)
f
(
x
)
=
cos
(
x
)
sin
(
x
)
extreme f(x)=x^3-6x^2+9x
extreme
f
(
x
)
=
x
3
−
6
x
2
+
9
x
dominio 1/(x^{3/2)+3x}
domain
1
x
3
2
+
3
x
ampiezza tan(x)-4
amplitude
tan
(
x
)
−
4
codominio sin(t)-(cos(t)+sin(t))
range
sin
(
t
)
−
(
cos
(
t
)
+
sin
(
t
)
)
extreme 3cos(4x)
extreme
3
cos
(
4
x
)
critical f(x)=(2x-14)^4
critical
f
(
x
)
=
(
2
x
−
1
4
)
4
dominio f(x)=(x-2)^3+3
domain
f
(
x
)
=
(
x
−
2
)
3
+
3
simmetria-(x-1)^2+4
symmetry
−
(
x
−
1
)
2
+
4
extreme f(x)=2xsqrt(4-x^2)
extreme
f
(
x
)
=
2
x
√
4
−
x
2
monotone f(x)=9x^2-x^3-3
monotone
f
(
x
)
=
9
x
2
−
x
3
−
3
f(x)=-sqrt(x)
f
(
x
)
=
−
√
x
inversa y= 1/(x+5)
inverse
y
=
1
x
+
5
slopeintercept 9x-7y=-7
slopeintercept
9
x
−
7
y
=
−
7
parità sqrt(x^4-32x^3+290x^2-800x+6625)
parity
√
x
4
−
3
2
x
3
+
2
9
0
x
2
−
8
0
0
x
+
6
6
2
5
asintoti f(x)=(x^2+1)/(x^2-1)
asymptotes
f
(
x
)
=
x
2
+
1
x
2
−
1
asintoti f(x)=((x^3+1))/(x^2-1)
asymptotes
f
(
x
)
=
(
x
3
+
1
)
x
2
−
1
dominio f(x)= 1/2 x-1/3
domain
f
(
x
)
=
1
2
x
−
1
3
asintoti f(x)=(4x)/7
asymptotes
f
(
x
)
=
4
x
7
inversa f(x)=(9-x)/(x-7)
inverse
f
(
x
)
=
9
−
x
x
−
7
asintoti f(x)= 4/(x^2-4)
asymptotes
f
(
x
)
=
4
x
2
−
4
dominio (x^3)/(x^3+1)
domain
x
3
x
3
+
1
dominio f(x)=sqrt(x-2)+\sqrt[3]{x-3}
domain
f
(
x
)
=
√
x
−
2
+
3
√
x
−
3
dominio f(x)=(2x)/(x+9)
domain
f
(
x
)
=
2
x
x
+
9
spostamento 3sin(2x-pi)
shift
3
sin
(
2
x
−
π
)
slopeintercept 2x+y=-9
slopeintercept
2
x
+
y
=
−
9
slopeintercept y=4x+5
slopeintercept
y
=
4
x
+
5
distanza (5,-2),(6,4)
distance
(
5
,
−
2
)
,
(
6
,
4
)
extreme f(x)=3-4x+x^2
extreme
f
(
x
)
=
3
−
4
x
+
x
2
codominio f(x)=0.5^x
range
f
(
x
)
=
0
.
5
x
inversa f(t)=4+7t
inverse
f
(
t
)
=
4
+
7
t
retta (1,2),(3,4)
line
(
1
,
2
)
,
(
3
,
4
)
intercettano log_{4}(x-1)+1
intercepts
log
4
(
x
−
1
)
+
1
dominio f(x)= x/(sqrt(x^2-9))
domain
f
(
x
)
=
x
√
x
2
−
9
dominio f(x)=(x-2)/(2x-4)
domain
f
(
x
)
=
x
−
2
2
x
−
4
asintoti f(x)=(2x)/(x+7)
asymptotes
f
(
x
)
=
2
x
x
+
7
inversa f(x)=sqrt(x^2-4)
inverse
f
(
x
)
=
√
x
2
−
4
dominio sqrt(4-x^2)-sqrt(x+1)
domain
√
4
−
x
2
−
√
x
+
1
asintoti (2x^2+x-15)/(5x^2-28x+15)
asymptotes
2
x
2
+
x
−
1
5
5
x
2
−
2
8
x
+
1
5
slopeintercept 2x-5y=10
slopeintercept
2
x
−
5
y
=
1
0
codominio f(x)=3^{x-1}
range
f
(
x
)
=
3
x
−
1
dominio f(x)=sqrt(x^2-1)+1
domain
f
(
x
)
=
√
x
2
−
1
+
1
asintoti f(x)=((2x^2-3x+3))/(1-2x)
asymptotes
f
(
x
)
=
(
2
x
2
−
3
x
+
3
)
1
−
2
x
asintoti f(x)=((8x^2+6)/(8x^2-6))
asymptotes
f
(
x
)
=
(
8
x
2
+
6
8
x
2
−
6
)
dominio f(x)=1+sqrt((3-x)/(5-x))
domain
f
(
x
)
=
1
+
√
3
−
x
5
−
x
f(x)=(x+5)/(x^2-10x+25)
f
(
x
)
=
x
+
5
x
2
−
1
0
x
+
2
5
frequenza sec(x)
frequency
sec
(
x
)
pendenza-9
slope
−
9
intercettano x^3-17x^2+48x-32
intercepts
x
3
−
1
7
x
2
+
4
8
x
−
3
2
spostamento 2/3 cos(2(θ/3-pi))+1/2
shift
2
3
cos
(
2
(
θ
3
−
π
)
)
+
1
2
distanza (-1, 19/2),(-9,11)
distance
(
−
1
,
1
9
2
)
,
(
−
9
,
1
1
)
y=3x-1
y
=
3
x
−
1
extreme f(x)=-32t+40
extreme
f
(
x
)
=
−
3
2
t
+
4
0
retta (12,3),(3,12)
line
(
1
2
,
3
)
,
(
3
,
1
2
)
intercettano cot(x+(7pi)/(36))
intercepts
cot
(
x
+
7
π
3
6
)
punto medio (-1,-3),(4,-6)
midpoint
(
−
1
,
−
3
)
,
(
4
,
−
6
)
critical 1/4 x^4-1/3 x^3-x^2
critical
1
4
x
4
−
1
3
x
3
−
x
2
dominio f(x)=-2x^2-3x+1
domain
f
(
x
)
=
−
2
x
2
−
3
x
+
1
dominio f(x)=\sqrt[3]{x+6}+1
domain
f
(
x
)
=
3
√
x
+
6
+
1
punto medio (-10,1),(-2,-4)
midpoint
(
−
1
0
,
1
)
,
(
−
2
,
−
4
)
critical xe^{-3x}
critical
xe
−
3
x
inversa f(x)= 1/4 x^3+8
inverse
f
(
x
)
=
1
4
x
3
+
8
asintoti (x-2)e^x
asymptotes
(
x
−
2
)
e
x
inversa f(x)= 7/(5x+7)
inverse
f
(
x
)
=
7
5
x
+
7
dominio (2x^2-x-7)/(x^2+9)
domain
2
x
2
−
x
−
7
x
2
+
9
dominio log_{1/2}(-x+2)+5
domain
log
1
2
(
−
x
+
2
)
+
5
1
..
9
10
11
12
13
..
839