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Problemas de Functions & Graphing populares
intervalo (5x+1)/(x-3)
range
5
x
+
1
x
−
3
paralela 3y-8x=21
parallel
3
y
−
8
x
=
2
1
interceptos 98x-49x^2-45
intercepts
9
8
x
−
4
9
x
2
−
4
5
intervalo sqrt(x^2)
range
√
x
2
domínio f(x)=|y|=x
domain
f
(
x
)
=
|
y
|
=
x
intervalo (2x^2-7x-15)/(x^2-3x-10)
range
2
x
2
−
7
x
−
1
5
x
2
−
3
x
−
1
0
interceptos 4/(x-3)
intercepts
4
x
−
3
slopeintercept y-4=7(x+2)
slopeintercept
y
−
4
=
7
(
x
+
2
)
domínio f(x)=log_{3}(x+1)
domain
f
(
x
)
=
log
3
(
x
+
1
)
amplitude-3sin(2x)-2
amplitude
−
3
sin
(
2
x
)
−
2
inversa 1/5
inverse
1
5
perpendicular \at (-19),y=8
perpendicular
at
(
−
1
9
)
,
y
=
8
inflection f(x)=2sqrt(x)-x
inflection
f
(
x
)
=
2
√
x
−
x
f(z)=z
f
(
z
)
=
z
domínio f(x)= 1/(|4-x|)
domain
f
(
x
)
=
1
|
4
−
x
|
assíntotas f(x)=(x^2+x-12)/(x-4)
asymptotes
f
(
x
)
=
x
2
+
x
−
1
2
x
−
4
domínio f(x)=(3x+1)/(4x+2)
domain
f
(
x
)
=
3
x
+
1
4
x
+
2
reta (-1,2),(2,-4)
line
(
−
1
,
2
)
,
(
2
,
−
4
)
domínio \sqrt[4]{x^2-3x}
domain
4
√
x
2
−
3
x
interceptos f(x)=x^4-1
intercepts
f
(
x
)
=
x
4
−
1
inclinação y=2x-7
slope
y
=
2
x
−
7
distância (-7, 9/14),(7, 9/14)
distance
(
−
7
,
9
1
4
)
,
(
7
,
9
1
4
)
distância (6,-2),(3,-9)
distance
(
6
,
−
2
)
,
(
3
,
−
9
)
slopeintercept 2x+y=-3
slopeintercept
2
x
+
y
=
−
3
interceptos f(x)= 1/(x-2)
intercepts
f
(
x
)
=
1
x
−
2
inflection x^2
inflection
x
2
periodicidade f(θ)=13tan(θ/4)
periodicity
f
(
θ
)
=
1
3
tan
(
θ
4
)
assíntotas 2sin(2x)+3
asymptotes
2
sin
(
2
x
)
+
3
inclinação 9x+6y=36
slope
9
x
+
6
y
=
3
6
reta m=-1,(-1/2 ,-3)
line
m
=
−
1
,
(
−
1
2
,
−
3
)
assíntotas (x-8)/(x-2)
asymptotes
x
−
8
x
−
2
extreme f(x)=-5x^3-13
extreme
f
(
x
)
=
−
5
x
3
−
1
3
domínio x^3-4x^2-4x+16
domain
x
3
−
4
x
2
−
4
x
+
1
6
translação sin(2x)
shift
sin
(
2
x
)
inversa y=2
inverse
y
=
2
critical f(x)=4x^2(x-6)
critical
f
(
x
)
=
4
x
2
(
x
−
6
)
monotone f(x)=(5t)/(t^2+25)
monotone
f
(
x
)
=
5
t
t
2
+
2
5
domínio f(x)= 4/(x-5)
domain
f
(
x
)
=
4
x
−
5
intervalo y=-4x^2
range
y
=
−
4
x
2
assíntotas f(x)=(2x^3+2)/(x^2+5x+11)
asymptotes
f
(
x
)
=
2
x
3
+
2
x
2
+
5
x
+
1
1
inversa f(x)=(9x)/(x+1)
inverse
f
(
x
)
=
9
x
x
+
1
domínio f(x)=5x+1
domain
f
(
x
)
=
5
x
+
1
perpendicular y=7x-1
perpendicular
y
=
7
x
−
1
critical x^4-x^3-6x^2-2x-1
critical
x
4
−
x
3
−
6
x
2
−
2
x
−
1
critical f(x)=(x^2)/2-4x+7
critical
f
(
x
)
=
x
2
2
−
4
x
+
7
critical f(x)=3sin^2(x)
critical
f
(
x
)
=
3
sin
2
(
x
)
interceptos (2x^2+2x-12)/(x^2+x)
intercepts
2
x
2
+
2
x
−
1
2
x
2
+
x
interceptos f(x)=(0, 13/3)(-13/4 ,0)
intercepts
f
(
x
)
=
(
0
,
1
3
3
)
(
−
1
3
4
,
0
)
domínio f(x)=(x^2)/5+5
domain
f
(
x
)
=
x
2
5
+
5
inclinação x+5y=15
slope
x
+
5
y
=
1
5
perpendicular 10
perpendicular
1
0
extreme f(x)= 6/(-2x+1)
extreme
f
(
x
)
=
6
−
2
x
+
1
assíntotas f(x)=(x+3)/(e^x)
asymptotes
f
(
x
)
=
x
+
3
e
x
simetria-2(x-3)^2+8
symmetry
−
2
(
x
−
3
)
2
+
8
inclinação y=-2x-9
slope
y
=
−
2
x
−
9
domínio f(x)= 4/(x^2-3x)
domain
f
(
x
)
=
4
x
2
−
3
x
inversa f(x)= 4/3 x+8
inverse
f
(
x
)
=
4
3
x
+
8
simetria y=-3(x+2)^2+4
symmetry
y
=
−
3
(
x
+
2
)
2
+
4
inversa f(x)=10+\sqrt[3]{x}
inverse
f
(
x
)
=
1
0
+
3
√
x
x+12=0
x
+
1
2
=
0
critical 2x^2-36x+324
critical
2
x
2
−
3
6
x
+
3
2
4
perpendicular 2x+3y=12
perpendicular
2
x
+
3
y
=
1
2
perpendicular 4x-2y+5=0,(2,4)
perpendicular
4
x
−
2
y
+
5
=
0
,
(
2
,
4
)
domínio 1/(3x+12)
domain
1
3
x
+
1
2
inversa 5/9 (F-32)
inverse
5
9
(
F
−
3
2
)
slopeintercept x+9y=18
slopeintercept
x
+
9
y
=
1
8
domínio f(x)=-sqrt(16-x^2)
domain
f
(
x
)
=
−
√
1
6
−
x
2
f(x)=-sqrt(5x+2)-1
f
(
x
)
=
−
√
5
x
+
2
−
1
domínio f(x)=sin(2sin(2x))
domain
f
(
x
)
=
sin
(
2
sin
(
2
x
)
)
interceptos 3x
intercepts
3
x
critical f(x)=x+9/x
critical
f
(
x
)
=
x
+
9
x
domínio f(x)=sin((x+1)/(x-1))
domain
f
(
x
)
=
sin
(
x
+
1
x
−
1
)
interceptos (5x^2-10x+1)/(x-2)
intercepts
5
x
2
−
1
0
x
+
1
x
−
2
intervalo f(x)= 2/(2x-5)
range
f
(
x
)
=
2
2
x
−
5
punto médio (-2,-2),(4,8)
midpoint
(
−
2
,
−
2
)
,
(
4
,
8
)
critical (x^2-9)/(x^2+3x)
critical
x
2
−
9
x
2
+
3
x
domínio 3x^2+5x-4
domain
3
x
2
+
5
x
−
4
domínio (x-3)^2+24
domain
(
x
−
3
)
2
+
2
4
perpendicular y=-7/2 x-2,(7,-5)
perpendicular
y
=
−
7
2
x
−
2
,
(
7
,
−
5
)
domínio x+8
domain
x
+
8
inclinação 4/5 (-15.5)
slope
4
5
(
−
1
5
.
5
)
assíntotas f(x)=(x^2+4x)/(-4x^2+36)
asymptotes
f
(
x
)
=
x
2
+
4
x
−
4
x
2
+
3
6
inversa f(c)= 9/5 c+32
inverse
f
(
c
)
=
9
5
c
+
3
2
punto médio (3,8),(2,-1)
midpoint
(
3
,
8
)
,
(
2
,
−
1
)
extreme f(x)=(2x^2)/((x-1)^2)
extreme
f
(
x
)
=
2
x
2
(
x
−
1
)
2
domínio log_{4}(x+2)-2log_{4}(1-x)+1
domain
log
4
(
x
+
2
)
−
2
log
4
(
1
−
x
)
+
1
domínio f(x)=sqrt((9-7x)/(6+9x))
domain
f
(
x
)
=
√
9
−
7
x
6
+
9
x
paralela 4x+5y=6
parallel
4
x
+
5
y
=
6
domínio f(x)=-5(x+4)^2+2
domain
f
(
x
)
=
−
5
(
x
+
4
)
2
+
2
domínio Y(x)=(2x-9)/(x-3)
domain
Y
(
x
)
=
2
x
−
9
x
−
3
interceptos f(x)=2*3^x
intercepts
f
(
x
)
=
2
·
3
x
intervalo sin(x)+cos(x)
range
sin
(
x
)
+
cos
(
x
)
inversa f(x)=(x-3)^2,x>= 3
inverse
f
(
x
)
=
(
x
−
3
)
2
,
x
≥
3
domínio sin(3x+1)
domain
sin
(
3
x
+
1
)
domínio y=2x+2
domain
y
=
2
x
+
2
intervalo ln(1-x^2)
range
ln
(
1
−
x
2
)
domínio y=(x-2)/(x-81)
domain
y
=
x
−
2
x
−
8
1
domínio x^3-9
domain
x
3
−
9
inversa f(x)=5(x+10)
inverse
f
(
x
)
=
5
(
x
+
1
0
)
critical (e^x-e^{-x})/5
critical
e
x
−
e
−
x
5
1
..
233
234
235
236
237
..
839