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مسائل مشهورة

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مسائل Functions & Graphing مشهورة

range (5x+1)/(x-3)	`range` 5`x`+1`x`−3
parallel 3y-8x=21	`parallel` 3`y`−8`x`=21
intercepts 98x-49x^2-45	`intercepts` 98`x`−49`x`²−45
range sqrt(x^2)	`range` √`x`²
domain f(x)=\|y\|=x	`domain` `f`(`x`)=\|`y`\|=`x`
range (2x^2-7x-15)/(x^2-3x-10)	`range` 2`x`²−7`x`−15`x`²−3`x`−10
intercepts 4/(x-3)	`intercepts` 4`x`−3
slopeintercept y-4=7(x+2)	`slopeintercept` `y`−4=7(`x`+2)
domain f(x)=log_{3}(x+1)	`domain` `f`(`x`)=log₃(`x`+1)
amplitude-3sin(2x)-2	`amplitude` −3sin(2`x`)−2
inverse 1/5	`inverse` 15
perpendicular \at (-19),y=8	`perpendicular` at (−19),`y`=8
inflection f(x)=2sqrt(x)-x	`inflection` `f`(`x`)=2√`x`−`x`
f(z)=z	`f`(`z`)=`z`
domain f(x)= 1/(\|4-x\|)	`domain` `f`(`x`)=1\|4−`x`\|
asymptotes f(x)=(x^2+x-12)/(x-4)	`asymptotes` `f`(`x`)=`x`²+`x`−12`x`−4
domain f(x)=(3x+1)/(4x+2)	`domain` `f`(`x`)=3`x`+14`x`+2
line (-1,2),(2,-4)	`line` (−1,2),(2,−4)
domain \sqrt[4]{x^2-3x}	`domain` ⁴√`x`²−3`x`
intercepts f(x)=x^4-1	`intercepts` `f`(`x`)=`x`⁴−1
slope y=2x-7	`slope` `y`=2`x`−7
distance (-7, 9/14),(7, 9/14)	`distance` (−7,914 ),(7,914 )
distance (6,-2),(3,-9)	`distance` (6,−2),(3,−9)
slopeintercept 2x+y=-3	`slopeintercept` 2`x`+`y`=−3
intercepts f(x)= 1/(x-2)	`intercepts` `f`(`x`)=1`x`−2
inflection x^2	`inflection` `x`²
periodicity f(θ)=13tan(θ/4)	`periodicity` `f`(θ)=13tan(θ4 )
asymptotes 2sin(2x)+3	`asymptotes` 2sin(2`x`)+3
slope 9x+6y=36	`slope` 9`x`+6`y`=36
line m=-1,(-1/2 ,-3)	`line` `m`=−1,(−12 ,−3)
asymptotes (x-8)/(x-2)	`asymptotes` `x`−8`x`−2
extreme f(x)=-5x^3-13	`extreme` `f`(`x`)=−5`x`³−13
domain x^3-4x^2-4x+16	`domain` `x`³−4`x`²−4`x`+16
shift sin(2x)	`shift` sin(2`x`)
inverse 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`tt`²+25
domain f(x)= 4/(x-5)	`domain` `f`(`x`)=4`x`−5
range y=-4x^2	`range` `y`=−4`x`²
asymptotes f(x)=(2x^3+2)/(x^2+5x+11)	`asymptotes` `f`(`x`)=2`x`³+2`x`²+5`x`+11
inverse f(x)=(9x)/(x+1)	`inverse` `f`(`x`)=9`xx`+1
domain 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`²2 −4`x`+7
critical f(x)=3sin^2(x)	`critical` `f`(`x`)=3sin²(`x`)
intercepts (2x^2+2x-12)/(x^2+x)	`intercepts` 2`x`²+2`x`−12`x`²+`x`
intercepts f(x)=(0, 13/3)(-13/4 ,0)	`intercepts` `f`(`x`)=(0,133 )(−134 ,0)
domain f(x)=(x^2)/5+5	`domain` `f`(`x`)=`x`²5 +5
slope x+5y=15	`slope` `x`+5`y`=15
perpendicular 10	`perpendicular` 10
extreme f(x)= 6/(-2x+1)	`extreme` `f`(`x`)=6−2`x`+1
asymptotes f(x)=(x+3)/(e^x)	`asymptotes` `f`(`x`)=`x`+3`e`^x
symmetry-2(x-3)^2+8	`symmetry` −2(`x`−3)²+8
slope y=-2x-9	`slope` `y`=−2`x`−9
domain f(x)= 4/(x^2-3x)	`domain` `f`(`x`)=4`x`²−3`x`
inverse f(x)= 4/3 x+8	`inverse` `f`(`x`)=43 `x`+8
symmetry y=-3(x+2)^2+4	`symmetry` `y`=−3(`x`+2)²+4
inverse f(x)=10+\sqrt[3]{x}	`inverse` `f`(`x`)=10+³√`x`
x+12=0	`x`+12=0
critical 2x^2-36x+324	`critical` 2`x`²−36`x`+324
perpendicular 2x+3y=12	`perpendicular` 2`x`+3`y`=12
perpendicular 4x-2y+5=0,(2,4)	`perpendicular` 4`x`−2`y`+5=0,(2,4)
domain 1/(3x+12)	`domain` 13`x`+12
inverse 5/9 (F-32)	`inverse` 59 (`F`−32)
slopeintercept x+9y=18	`slopeintercept` `x`+9`y`=18
domain f(x)=-sqrt(16-x^2)	`domain` `f`(`x`)=−√16−`x`²
f(x)=-sqrt(5x+2)-1	`f`(`x`)=−√5`x`+2−1
domain f(x)=sin(2sin(2x))	`domain` `f`(`x`)=sin(2sin(2`x`))
intercepts 3x	`intercepts` 3`x`
critical f(x)=x+9/x	`critical` `f`(`x`)=`x`+9`x`
domain f(x)=sin((x+1)/(x-1))	`domain` `f`(`x`)=sin(`x`+1`x`−1 )
intercepts (5x^2-10x+1)/(x-2)	`intercepts` 5`x`²−10`x`+1`x`−2
range f(x)= 2/(2x-5)	`range` `f`(`x`)=22`x`−5
midpoint (-2,-2),(4,8)	`midpoint` (−2,−2),(4,8)
critical (x^2-9)/(x^2+3x)	`critical` `x`²−9`x`²+3`x`
domain 3x^2+5x-4	`domain` 3`x`²+5`x`−4
domain (x-3)^2+24	`domain` (`x`−3)²+24
perpendicular y=-7/2 x-2,(7,-5)	`perpendicular` `y`=−72 `x`−2,(7,−5)
domain x+8	`domain` `x`+8
slope 4/5 (-15.5)	`slope` 45 (−15.5)
asymptotes f(x)=(x^2+4x)/(-4x^2+36)	`asymptotes` `f`(`x`)=`x`²+4`x`−4`x`²+36
inverse f(c)= 9/5 c+32	`inverse` `f`(`c`)=95 `c`+32
midpoint (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
domain log_{4}(x+2)-2log_{4}(1-x)+1	`domain` log₄(`x`+2)−2log₄(1−`x`)+1
domain f(x)=sqrt((9-7x)/(6+9x))	`domain` `f`(`x`)=√9−7`x`6+9`x`
parallel 4x+5y=6	`parallel` 4`x`+5`y`=6
domain f(x)=-5(x+4)^2+2	`domain` `f`(`x`)=−5(`x`+4)²+2
domain Y(x)=(2x-9)/(x-3)	`domain` `Y`(`x`)=2`x`−9`x`−3
intercepts f(x)=2*3^x	`intercepts` `f`(`x`)=2· 3^x
range sin(x)+cos(x)	`range` sin(`x`)+cos(`x`)
inverse f(x)=(x-3)^2,x>= 3	`inverse` `f`(`x`)=(`x`−3)²,`x`≥ 3
domain sin(3x+1)	`domain` sin(3`x`+1)
domain y=2x+2	`domain` `y`=2`x`+2
range ln(1-x^2)	`range` ln(1−`x`²)
domain y=(x-2)/(x-81)	`domain` `y`=`x`−2`x`−81
domain x^3-9	`domain` `x`³−9
inverse f(x)=5(x+10)	`inverse` `f`(`x`)=5(`x`+10)
critical (e^x-e^{-x})/5	`critical` `e`^x−`e`^−x5

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