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مسائل مشهورة

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مسائل Functions & Graphing مشهورة

parity f(x)= 1/(x^2+8)	`parity` `f`(`x`)=1`x`²+8
extreme x/(x^2+4)	`extreme` `xx`²+4
inverse g(x)=8e^{x^2+1}	`inverse` `g`(`x`)=8`e`^x²+1
extreme f(x)=x^3-12x^2-27x+9	`extreme` `f`(`x`)=`x`³−12`x`²−27`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
inverse f(x)=(x-9)/4	`inverse` `f`(`x`)=`x`−94
amplitude f(x)=5sin(x)	`amplitude` `f`(`x`)=5sin(`x`)
parity f(x)=x^2+3x-4	`parity` `f`(`x`)=`x`²+3`x`−4
inverse f(x)=2x^3-1	`inverse` `f`(`x`)=2`x`³−1
domain-\sqrt[4]{x}+5	`domain` −⁴√`x`+5
line (-3,-2),(2,4)	`line` (−3,−2),(2,4)
domain 7x	`domain` 7`x`
inverse y=x^3	`inverse` `y`=`x`³
extreme f(x)=(e^x)/(8+e^x)	`extreme` `f`(`x`)=`e`^x8+`e`^x
range 4x-3	`range` 4`x`−3
domain f(x)=(sqrt(3+x))/(5-x)	`domain` `f`(`x`)=√3+`x`5−`x`
intercepts (3x^2-27)/(x^2+x-6)	`intercepts` 3`x`²−27`x`²+`x`−6
inverse 3x^2+5	`inverse` 3`x`²+5
extreme f(x)=-36w^2+240w	`extreme` `f`(`x`)=−36`w`²+240`w`
critical (-2)/(x+2)	`critical` −2`x`+2
inverse g(x)=(x+6)^2+16	`inverse` `g`(`x`)=(`x`+6)²+16
inverse f(x)=8-3x	`inverse` `f`(`x`)=8−3`x`
asymptotes (3x)/(x^2-4)	`asymptotes` 3`xx`²−4
slopeintercept y=5x+2	`slopeintercept` `y`=5`x`+2
perpendicular-6x+y=46,(-6,9)	`perpendicular` −6`x`+`y`=46,(−6,9)
asymptotes csc(x)	`asymptotes` csc(`x`)
perpendicular 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
inverse y=-x^6	`inverse` `y`=−`x`⁶
inverse log_{10}(x^2)	`inverse` log₁₀(`x`²)
extreme x^4-8x^3	`extreme` `x`⁴−8`x`³
domain f(x)=x^4+6	`domain` `f`(`x`)=`x`⁴+6
domain 2/((2/x))	`domain` 2(2`x` )
domain f(x)=(x-2)/(x^3-49x)	`domain` `f`(`x`)=`x`−2`x`³−49`x`
parallel-x-2y=4,(2,3)	`parallel` −`x`−2`y`=4,(2,3)
inverse f(x)=(e^x)/(1+6e^x)	`inverse` `f`(`x`)=`e`^x1+6`e`^x
inverse 2sqrt(x+3)+1	`inverse` 2√`x`+3+1
midpoint (1,0),(1,-3)	`midpoint` (1,0),(1,−3)
inverse f(x)=4(x+1)	`inverse` `f`(`x`)=4(`x`+1)
asymptotes (x^2-x-3)/(x+1)	`asymptotes` `x`²−`x`−3`x`+1
intercepts (5x)/(x+3)	`intercepts` 5`xx`+3
intercepts f(x)=(x-3)(x+2)(x-7)	`intercepts` `f`(`x`)=(`x`−3)(`x`+2)(`x`−7)
inverse 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
inverse f(x)= 1/2 x^3+2	`inverse` `f`(`x`)=12 `x`³+2
shift-2sin(-4x+pi/2)	`shift` −2sin(−4`x`+π2 )
inverse f(x)=7(x-1)^3	`inverse` `f`(`x`)=7(`x`−1)³
inverse f(x)=-1+(x+2)^3	`inverse` `f`(`x`)=−1+(`x`+2)³
domain f(x)=(x-3)/(9x-x^3)	`domain` `f`(`x`)=`x`−39`x`−`x`³
inverse ((5x-4))/(7x+3)	`inverse` (5`x`−4)7`x`+3
periodicity tan(2x-5)	`periodicity` tan(2`x`−5)
domain f(x)=-sqrt(9-x^2)	`domain` `f`(`x`)=−√9−`x`²
domain f(x)= 1/(x-1)	`domain` `f`(`x`)=1`x`−1
extreme f(x)=x^2ln(x/6)	`extreme` `f`(`x`)=`x`²ln(`x`6 )
inverse f(x)=sqrt(x)+sqrt(3-x)	`inverse` `f`(`x`)=√`x`+√3−`x`
domain e^{3x}cos(2x)	`domain` `e`^3xcos(2`x`)
domain (x+4)/(20)	`domain` `x`+420
slopeintercept 2x+3y=12	`slopeintercept` 2`x`+3`y`=12
distance (-3,2),(2,-5)	`distance` (−3,2),(2,−5)
parallel y=3x,(-3,-5)	`parallel` `y`=3`x`,(−3,−5)
domain f(x)=(-1)/(2sqrt(6-x))	`domain` `f`(`x`)=−12√6−`x`
monotone f(x)=x^2-2x-3	`monotone` `f`(`x`)=`x`²−2`x`−3
domain (x-7)^2+8	`domain` (`x`−7)²+8
inverse 6x-2	`inverse` 6`x`−2
line m=7,(-3,4)	`line` `m`=7,(−3,4)
f(x)=2(x+1)^2	`f`(`x`)=2(`x`+1)²
asymptotes f(x)=(3x)/((7x+14))	`asymptotes` `f`(`x`)=3`x`(7`x`+14)
domain f(x)=sqrt((16-x^2)(x+2))	`domain` `f`(`x`)=√(16−`x`²)(`x`+2)
asymptotes f(x)=(x^2-2x-15)/(x+3)	`asymptotes` `f`(`x`)=`x`²−2`x`−15`x`+3
extreme f(x)=(4x)/(x^2+1)	`extreme` `f`(`x`)=4`xx`²+1
asymptotes f(x)=(x^3-27)/(x^2-8x+15)	`asymptotes` `f`(`x`)=`x`³−27`x`²−8`x`+15
inverse e^{sqrt(x+2)}	`inverse` `e`^√x+2
inverse x^2+4	`inverse` `x`²+4
domain y=f(x)=ln(2x+1)	`domain` `y`=`f`(`x`)=ln(2`x`+1)
distance (2,-2),(-4,4)	`distance` (2,−2),(−4,4)
perpendicular y= 4/3 x+6,(-4,-1)	`perpendicular` `y`=43 `x`+6,(−4,−1)
domain f(x)=(x^2-3x-4)/(x-4)	`domain` `f`(`x`)=`x`²−3`x`−4`x`−4
symmetry x^3+2x^2-x-2	`symmetry` `x`³+2`x`²−`x`−2
domain f(x)=sqrt(x^2-49)	`domain` `f`(`x`)=√`x`²−49
domain (1/(x-4))(1/(6-x))	`domain` (1`x`−4 )(16−`x` )
critical f(x)=xe^{-x}	`critical` `f`(`x`)=`xe`^−x
asymptotes f(x)=(x-2)/x	`asymptotes` `f`(`x`)=`x`−2`x`
asymptotes 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
parity f(x)=3x^4+5x^2+1	`parity` `f`(`x`)=3`x`⁴+5`x`²+1
domain f(x)=(sqrt(x+1))/(x-7)	`domain` `f`(`x`)=√`x`+1`x`−7
inverse f(x)=(x+4)^3-2	`inverse` `f`(`x`)=(`x`+4)³−2
f(x)=2sin(x)	`f`(`x`)=2sin(`x`)
symmetry xy=7	`symmetry` `xy`=7
asymptotes f(x)=(3x-4)/(4x+9)	`asymptotes` `f`(`x`)=3`x`−44`x`+9
extreme f(x)=x^3-6x^2+5	`extreme` `f`(`x`)=`x`³−6`x`²+5
asymptotes (2x^2-7x+3)/(x^2-3x-2)	`asymptotes` 2`x`²−7`x`+3`x`²−3`x`−2
domain f(x)=(4y^2+16y+64)/(y^3-6y^2)	`domain` `f`(`x`)=4`y`²+16`y`+64`y`³−6`y`²
domain f(x)= 1/(\frac{20){x-5}-2}	`domain` `f`(`x`)=120`x`−5 −2
inflection f(x)=x^3-3x^2	`inflection` `f`(`x`)=`x`³−3`x`²
range-(x-7)^2+4	`range` −(`x`−7)²+4
simplify (8.5)(0.3)	`simplify` (8.5)(0.3)
intercepts f(x)=-1/4 x^2+2x-1	`intercepts` `f`(`x`)=−14 `x`²+2`x`−1
domain y=((x+9)(x-9))/(x^2+81)	`domain` `y`=(`x`+9)(`x`−9)`x`²+81

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