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مسائل مشهورة

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مسائل Functions & Graphing مشهورة

domain f(x)=9^x	`domain` `f`(`x`)=9^x
intercepts sqrt(x+3)	`intercepts` √`x`+3
domain f(x)= 1/((x+2)^3)	`domain` `f`(`x`)=1(`x`+2)³
monotone x^{2/3}(x-5)	`monotone` `x`²³(`x`−5)
asymptotes (x+1)/(x^2-1)	`asymptotes` `x`+1`x`²−1
perpendicular 6	`perpendicular` 6
parity (9x-21)/(15x+35)	`parity` 9`x`−2115`x`+35
critical f(x)=-x^2-8x-8	`critical` `f`(`x`)=−`x`²−8`x`−8
range f(x)=x^3+4	`range` `f`(`x`)=`x`³+4
intercepts y=x^2-3	`intercepts` `y`=`x`²−3
range 6sin(1/6 x)	`range` 6sin(16 `x`)
intercepts f(x)=-10cos(10x+pi/3)	`intercepts` `f`(`x`)=−10cos(10`x`+π3 )
range y=3x-6	`range` `y`=3`x`−6
inverse cos^3(x)	`inverse` cos³(`x`)
inflection-8/(x^2)	`inflection` −8`x`²
range (cos(x))/(2+sin(x))	`range` cos(`x`)2+sin(`x`)
inverse f(x)=(x+4)/4	`inverse` `f`(`x`)=`x`+44
monotone 1/(2x+4)	`monotone` 12`x`+4
intercepts f(x)=x^2+6x+8	`intercepts` `f`(`x`)=`x`²+6`x`+8
line (-2/3 ,-1/3),(2, 1/2)	`line` (−23 ,−13 ),(2,12 )
simplify (4.1)(8.4)	`simplify` (4.1)(8.4)
domain 2/(-x+26)	`domain` 2−`x`+26
perpendicular y=4x+8,(4,8)	`perpendicular` `y`=4`x`+8,(4,8)
symmetry y=x^3-1	`symmetry` `y`=`x`³−1
domain f(x)=(t-1)/(t+1)	`domain` `f`(`x`)=`t`−1`t`+1
domain (x^2)/(x-2)	`domain` `x`²`x`−2
parity (tan(4x))/x	`parity` tan(4`x`)`x`
perpendicular 9x+12y+13=0	`perpendicular` 9`x`+12`y`+13=0
inverse f(x)= 1/3 x	`inverse` `f`(`x`)=13 `x`
y=4x-x^2	`y`=4`x`−`x`²
domain sqrt((x+5)/(x^2-4))	`domain` √`x`+5`x`²−4
domain (2-x)e^{-x}-1	`domain` (2−`x`)`e`^−x−1
slopeintercept-x+4y=0	`slopeintercept` −`x`+4`y`=0
slope y=-2x+6y	`slope` `y`=−2`x`+6`y`
inverse y=4x-8	`inverse` `y`=4`x`−8
inverse f(x)=-5x^2	`inverse` `f`(`x`)=−5`x`²
inverse f(x)=-1/3 x+1	`inverse` `f`(`x`)=−13 `x`+1
inverse f(x)=(x-1)^2+2	`inverse` `f`(`x`)=(`x`−1)²+2
asymptotes f(x)=2(1/2)^x	`asymptotes` `f`(`x`)=2(12 )^x
line (4,2),(3,5)	`line` (4,2),(3,5)
extreme f(x)=x^2ln(x/8)	`extreme` `f`(`x`)=`x`²ln(`x`8 )
asymptotes x^2-1	`asymptotes` `x`²−1
inverse f(x)= 1/2 x+16	`inverse` `f`(`x`)=12 `x`+16
inverse f(x)=(7-3x)/(x-2)	`inverse` `f`(`x`)=7−3`xx`−2
inverse f(x)=-(0.4)^{x-6}	`inverse` `f`(`x`)=−(0.4)^x−6
asymptotes f(x)= 2/(x^2-2x-3)	`asymptotes` `f`(`x`)=2`x`²−2`x`−3
domain f(x)=3x-3x^2	`domain` `f`(`x`)=3`x`−3`x`²
inverse f(x)=x^2=6x	`inverse` `f`(`x`)=`x`²=6`x`
simplify (5.8)(5.3)	`simplify` (5.8)(5.3)
range f(x)=1+sqrt(4-x)	`range` `f`(`x`)=1+√4−`x`
inverse f(x)=4-(2x)/3	`inverse` `f`(`x`)=4−2`x`3
inverse f(x)= 1/x	`inverse` `f`(`x`)=1`x`
domain f(x)=(\sqrt[3]{x-2})/(x^3-2)	`domain` `f`(`x`)=³√`x`−2`x`³−2
slopeintercept 4x-24y=72	`slopeintercept` 4`x`−24`y`=72
parallel (-9.3)y=-8x+5	`parallel` (−9.3)`y`=−8`x`+5
domain f(x)=sqrt((10)/(4+x))	`domain` `f`(`x`)=√104+`x`
domain f(x)=(2x)/(x-3)	`domain` `f`(`x`)=2`xx`−3
domain f(x)=(sqrt(x-1))/(sqrt(x+5))	`domain` `f`(`x`)=√`x`−1√`x`+5
inflection 11x^4-66x^2	`inflection` 11`x`⁴−66`x`²
extreme f(x)=-x^3+9x^2-15x+1	`extreme` `f`(`x`)=−`x`³+9`x`²−15`x`+1
range f(x)=e^{-x^2}	`range` `f`(`x`)=`e`^−x²
intercepts-4/(x^3-9x)	`intercepts` −4`x`³−9`x`
asymptotes f(x)=(3x)/(x+3)	`asymptotes` `f`(`x`)=3`xx`+3
distance (-1,-2),(2,2)	`distance` (−1,−2),(2,2)
line (-4,-3),(3,0)	`line` (−4,−3),(3,0)
domain y=sqrt(x^2-5x-14)	`domain` `y`=√`x`²−5`x`−14
domain 1/2 x^2-2	`domain` 12 `x`²−2
domain sqrt((4x)/(x^2+1))	`domain` √4`xx`²+1
inverse f(x)=3x+9	`inverse` `f`(`x`)=3`x`+9
inverse y=x^{2/3}	`inverse` `y`=`x`²³
domain f(x)= x/(2x^2-5)*sqrt(x)	`domain` `f`(`x`)=`x`2`x`²−5 · √`x`
parallel (4.2)5x+5y=8	`parallel` (4.2)5`x`+5`y`=8
line (3,2.5),(750,625)	`line` (3,2.5),(750,625)
asymptotes f(x)= x/(x-5)	`asymptotes` `f`(`x`)=`xx`−5
parity (3x^2)/(1-x-x^5)	`parity` 3`x`²1−`x`−`x`⁵
critical f(x)=(x-5)^{2/3}	`critical` `f`(`x`)=(`x`−5)²³
asymptotes f(x)=(x^3)/(x^4-16)	`asymptotes` `f`(`x`)=`x`³`x`⁴−16
inverse 304.8e^{0.853k}	`inverse` 304.8`e`^0.853k
domain f(x)= 1/(sqrt(1-x^2))	`domain` `f`(`x`)=1√1−`x`²
domain-3sec(pi-2x)+5,0<= x<= 2pi	`domain` −3sec(π−2`x`)+5,0≤ `x`≤ 2π
domain 1/(x+2)-3	`domain` 1`x`+2 −3
asymptotes (x+2)/(x-1)	`asymptotes` `x`+2`x`−1
asymptotes y=(x+8)/(x^2-9)	`asymptotes` `y`=`x`+8`x`²−9
inverse f(x)=(8-x)/3	`inverse` `f`(`x`)=8−`x`3
inverse 1/x-1	`inverse` 1`x` −1
asymptotes (3(x^2-x-6))/(x^2-9)	`asymptotes` 3(`x`²−`x`−6)`x`²−9
symmetry (y^2}{25}-\frac{x^2)/9 =1	`symmetry` `y`²25 −`x`²9 =1
domain (2+x)/(x^2(1-x))	`domain` 2+`xx`²(1−`x`)
inverse 2x^2-1	`inverse` 2`x`²−1
asymptotes f(x)=x^2*e^{-x}	`asymptotes` `f`(`x`)=`x`²· `e`^−x
parity x^2-5\|x\|	`parity` `x`²−5\|`x`\|
domain \sqrt[3]{x-1}-1	`domain` ³√`x`−1−1
distance (6,7),(-4,7)	`distance` (6,7),(−4,7)
slope-6y=-10	`slope` −6`y`=−10
intercepts 24x^6-2x^3-7	`intercepts` 24`x`⁶−2`x`³−7
extreme f(x)=x^3-3x^2+5	`extreme` `f`(`x`)=`x`³−3`x`²+5
domain g(x)=sqrt(9-x)	`domain` `g`(`x`)=√9−`x`
extreme f(x)=x^2+2x-5	`extreme` `f`(`x`)=`x`²+2`x`−5
critical f(x)=e^{-x}	`critical` `f`(`x`)=`e`^−x
f(x)=ln(1+x)	`f`(`x`)=ln(1+`x`)

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