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Popolari Functions & Graphing Problemi
concavità f(x)= x/((x^2+1))
concavity
f
(
x
)
=
x
(
x
2
+
1
)
f(c)=-44c
f
(
c
)
=
−
4
4
c
extreme f(x)=8-x,(-3,5)
extreme
f
(
x
)
=
8
−
x
,
(
−
3
,
5
)
trasformazione f(x)=x^2-4
transform
f
(
x
)
=
x
2
−
4
dominio\&range y=x
domain
\
spostamento y=tan((x-pi)/2)
shift
y
=
tan
(
x
−
π
2
)
dominio\&range y=tan(x)
domain
\
fori ((x-3))/((x^2-4))
holes
(
x
−
3
)
(
x
2
−
4
)
f(x)=2x,5,x^2,x<1,x=1,x>1
f
(
x
)
=
2
x
,
5
,
x
2
,
x
<
1
,
x
=
1
,
x
>
1
f(c)=37c
f
(
c
)
=
3
7
c
dominio\&range f(x)=|x|
domain
\
f(c)=200c
f
(
c
)
=
2
0
0
c
punto medio (sqrt(32),3),(sqrt(2),-3)
midpoint
(
√
3
2
,
3
)
,
(
√
2
,
−
3
)
continuità f(x)=sqrt(x/((x-2)))
continuity
f
(
x
)
=
√
x
(
x
−
2
)
trasformazione y=3(x-2)^2+1
transform
y
=
3
(
x
−
2
)
2
+
1
inversa F(x)=2x-1
inverse
F
(
x
)
=
2
x
−
1
g(x)(f(x))f(x)=3-2x,g(x)=3x^2+2
g
(
x
)
(
f
(
x
)
)
f
(
x
)
=
3
−
2
x
,
g
(
x
)
=
3
x
2
+
2
f(c)=85c
f
(
c
)
=
8
5
c
dominio f(x)=((x^2-9))/((x-3))
domain
f
(
x
)
=
(
x
2
−
9
)
(
x
−
3
)
simmetria y=7-4x+x^2
symmetry
y
=
7
−
4
x
+
x
2
avgchangerate f(x)=x^2+2x,x=1
avgchangerate
f
(
x
)
=
x
2
+
2
x
,
x
=
1
g(f)=32f
g
(
f
)
=
3
2
f
parità (x,1,(x-1))/((x^2-4))
parity
x
,
1
,
(
x
−
1
)
(
x
2
−
4
)
g(f)=21f
g
(
f
)
=
2
1
f
simmetria y=5x^2+40x+64
symmetry
y
=
5
x
2
+
4
0
x
+
6
4
trasformazione f(x)=x^2
transform
f
(
x
)
=
x
2
avgchangerate f(x)=(-1)/x ,(1,2)
avgchangerate
f
(
x
)
=
−
1
x
,
(
1
,
2
)
dominio\&range y=sec(x)
domain
\
a=0f(x)=sqrt(1)-x,a=0
a
=
0
f
(
x
)
=
√
1
−
x
,
a
=
0
f(c)=50c
f
(
c
)
=
5
0
c
16-x,x=5
1
6
−
x
,
x
=
5
inversa (18)/x
inverse
1
8
x
g(f)=20f
g
(
f
)
=
2
0
f
dominio y=((2x+10))/((3x-9))
domain
y
=
(
2
x
+
1
0
)
(
3
x
−
9
)
f(x)(g(x))f(x)=4x-9,g(x)=((x+4))/9
f
(
x
)
(
g
(
x
)
)
f
(
x
)
=
4
x
−
9
,
g
(
x
)
=
(
x
+
4
)
9
g(f)=101.5f
g
(
f
)
=
1
0
1
.
5
f
parità f(x)=(x+12)/x
parity
f
(
x
)
=
x
+
1
2
x
f(c)=98c
f
(
c
)
=
9
8
c
intercettano y-3=5(x-2)
intercepts
y
−
3
=
5
(
x
−
2
)
slopeintercept 2x-8y=32
slopeintercept
2
x
−
8
y
=
3
2
slopeintercept 3x-3y=18
slopeintercept
3
x
−
3
y
=
1
8
inversa f(x)= 1/(9x+2)
inverse
f
(
x
)
=
1
9
x
+
2
simmetria y=-2x^2+12x-3
symmetry
y
=
−
2
x
2
+
1
2
x
−
3
pendenza y= 2/3
slope
y
=
2
3
a=1f(x)=x^4+3x^2,a=1
a
=
1
f
(
x
)
=
x
4
+
3
x
2
,
a
=
1
horizontal f(x)=-0.1x^2+0.7x+6
horizontal
f
(
x
)
=
−
0
.
1
x
2
+
0
.
7
x
+
6
pendenza 5x-6y=6
slope
5
x
−
6
y
=
6
intercettano y=2x-10
intercepts
y
=
2
x
−
1
0
dominio\&range y=cos(x)
domain
\
pendenza y=3x-7
slope
y
=
3
x
−
7
slopeintercept 15=-3y+21x
slopeintercept
1
5
=
−
3
y
+
2
1
x
slopeintercept 6x-2y=-4
slopeintercept
6
x
−
2
y
=
−
4
yintercepts 4x-3y=21
yintercepts
4
x
−
3
y
=
2
1
pendenza y=(-1)/2
slope
y
=
−
1
2
perpendicolare (5,2),y=x-5
perpendicular
(
5
,
2
)
,
y
=
x
−
5
pendenza 8x-6y=6
slope
8
x
−
6
y
=
6
slopeintercept y-3=2(x-1)
slopeintercept
y
−
3
=
2
(
x
−
1
)
intercettano 4x-6y=36
intercepts
4
x
−
6
y
=
3
6
pendenza 5x-2y=8
slope
5
x
−
2
y
=
8
inversa g(x)=5x^3-14
inverse
g
(
x
)
=
5
x
3
−
1
4
dominio\&range y= 1/x
domain
\
pendenza 4x-4y=16
slope
4
x
−
4
y
=
1
6
monotone f(x)=x-1
monotone
f
(
x
)
=
x
−
1
pendenza 5x-12y=24
slope
5
x
−
1
2
y
=
2
4
pendenza 4x-4y=32
slope
4
x
−
4
y
=
3
2
simmetria y=(x+6)^2-9
symmetry
y
=
(
x
+
6
)
2
−
9
g(f)=-4f
g
(
f
)
=
−
4
f
slopeintercept 6x+4y=16
slopeintercept
6
x
+
4
y
=
1
6
f(g)=113g
f
(
g
)
=
1
1
3
g
endbehavior f(x)=x^3-3x-2
endbehavior
f
(
x
)
=
x
3
−
3
x
−
2
pendenza y-x=-8
slope
y
−
x
=
−
8
dominio\&range y=csc(x)
domain
\
dominio y=((x+6))/7
domain
y
=
(
x
+
6
)
7
yintercepts 3y=9x+6
yintercepts
3
y
=
9
x
+
6
spostamento y=sec(x)
shift
y
=
sec
(
x
)
dominio\&range y=2^x
domain
\
dominio\&range-9x^2
domain
\
dominio\&range y=5x^2-2x+2
domain
\
intercettano 4x-1=3y+5
intercepts
4
x
−
1
=
3
y
+
5
slopeintercept y=3x-7
slopeintercept
y
=
3
x
−
7
endbehavior 2x^3-26x-24
endbehavior
2
x
3
−
2
6
x
−
2
4
pendenza 3y=6
slope
3
y
=
6
yintercepts 6x+3y=36
yintercepts
6
x
+
3
y
=
3
6
dominio\&range y=e^x
domain
\
endbehavior f(x)=2x^6-2x^2-5
endbehavior
f
(
x
)
=
2
x
6
−
2
x
2
−
5
slopeintercept 12x+2y=-60
slopeintercept
1
2
x
+
2
y
=
−
6
0
inversa 5y+4=((x+3)^2+1)/2
inverse
5
y
+
4
=
(
x
+
3
)
2
+
1
2
dominio\&range y=cot(x)
domain
\
pendenza 3x-4y=8
slope
3
x
−
4
y
=
8
pendenza 2y-3x=8
slope
2
y
−
3
x
=
8
pendenza 6x-4y=8
slope
6
x
−
4
y
=
8
dominio\&range f(x)=sqrt(x-3)
domain
\
dominio\&range f(x)=5x-7
domain
\
slopeintercept 12y+2x=24
slopeintercept
1
2
y
+
2
x
=
2
4
codominio f(x)=|3x-9|
range
f
(
x
)
=
|
3
x
−
9
|
pendenza 4x-2y=5
slope
4
x
−
2
y
=
5
trasformazione f(x)=sqrt(x)
transform
f
(
x
)
=
√
x
intercettano y-4=7(x-6)
intercepts
y
−
4
=
7
(
x
−
6
)
pendenza 6x-4y=12
slope
6
x
−
4
y
=
1
2
simmetria y=(x+9)(x-21)
symmetry
y
=
(
x
+
9
)
(
x
−
2
1
)
1
..
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