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مسائل مشهورة

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مسائل Functions & Graphing مشهورة

slope 10x-5y=-30	`slope` 10`x`−5`y`=−30
slopeintercept-6x-2y=10	`slopeintercept` −6`x`−2`y`=10
shift y=sin(x)	`shift` `y`=sin(`x`)
transform g(x)=(x-7.5)^2	`transform` `g`(`x`)=(`x`−7.5)²
avgchangerate f(x)=x,-4<= x<= 4	`avgchangerate` `f`(`x`)=`x`,−4≤ `x`≤ 4
f(x)(g(x))f(x)=x-2,g(x)= 1/x	`f`(`x`)(`g`(`x`))`f`(`x`)=`x`−2,`g`(`x`)=1`x`
yintercepts y-4=2(x-3)	`yintercepts` `y`−4=2(`x`−3)
inverse f(x)=12x-10	`inverse` `f`(`x`)=12`x`−10
y=6x^2+36x+54	`y`=6`x`²+36`x`+54
slopeintercept 4x-3y=18	`slopeintercept` 4`x`−3`y`=18
extreme f(x)=x^2-x+5	`extreme` `f`(`x`)=`x`²−`x`+5
domain\&range y=arctan(x)	`domain`\
slope-3y=-12	`slope` −3`y`=−12
slopeintercept 3x-4y=-8	`slopeintercept` 3`x`−4`y`=−8
symmetry y-4x=7-x^2	`symmetry` `y`−4`x`=7−`x`²
parity f(x)=x^3+7	`parity` `f`(`x`)=`x`³+7
slope y= 3/2	`slope` `y`=32
endbehavior 2x^7+5x^4-6x^3+8x	`endbehavior` 2`x`⁷+5`x`⁴−6`x`³+8`x`
symmetry y+3x-6=-3(x-2)^2+4	`symmetry` `y`+3`x`−6=−3(`x`−2)²+4
f(x)=-3(x+1)^2-3	`f`(`x`)=−3(`x`+1)²−3
inverse f(x)= 1/(2x+10)	`inverse` `f`(`x`)=12`x`+10
slopeintercept x-8y=40	`slopeintercept` `x`−8`y`=40
intercepts 7x-5=4y-6	`intercepts` 7`x`−5=4`y`−6
slopeintercept x-5y=5	`slopeintercept` `x`−5`y`=5
domain\&range f(x)=((5x-7))/x	`domain`\
f(x)=9x^2-54x-19	`f`(`x`)=9`x`²−54`x`−19
f(c)=1.1c	`f`(`c`)=1.1`c`
transform y=3*7^{-x}+2	`transform` `y`=3· 7^−x+2
f(x)=(x-6)(2x+10)	`f`(`x`)=(`x`−6)(2`x`+10)
slopeintercept 3x+2y=2	`slopeintercept` 3`x`+2`y`=2
inverse ((2x-2))/4	`inverse` (2`x`−2)4
domain ((2x+5))/((2x-6))	`domain` (2`x`+5)(2`x`−6)
slopeintercept-2x+2y=8	`slopeintercept` −2`x`+2`y`=8
domain 4/((x-7))	`domain` 4(`x`−7)
g(x)=5x-12x^2+3	`g`(`x`)=5`x`−12`x`²+3
domain\&range y=\sqrt[3]{x}	`domain`\
domain y=2sqrt(x)-5	`domain` `y`=2√`x`−5
slopeintercept y=3x-9	`slopeintercept` `y`=3`x`−9
f(x)=(1.25^{x/4})^{16}	`f`(`x`)=(1.25^x4)¹⁶
yintercepts y=6x-8	`yintercepts` `y`=6`x`−8
domain\&range f(x)=2x+1	`domain`\
slope 3x-4y=20	`slope` 3`x`−4`y`=20
distance (2,3),(14,8)	`distance` (2,3),(14,8)
shift y=csc(x)	`shift` `y`=csc(`x`)
slope y= 3/4	`slope` `y`=34
(-0.4(3x-2)+(2x+4))/3 ,x=4	−0.4(3`x`−2)+(2`x`+4)3 ,`x`=4
parallel 8x-2y=3,(4,1)	`parallel` 8`x`−2`y`=3,(4,1)
intercepts y=7x-3	`intercepts` `y`=7`x`−3
domain\&range f(x)=0	`domain`\
slopeintercept 6x+4y=8	`slopeintercept` 6`x`+4`y`=8
f(x)(g(x))f(x)=4x-8,g(x)=6x-4	`f`(`x`)(`g`(`x`))`f`(`x`)=4`x`−8,`g`(`x`)=6`x`−4
intercepts 4x-3y=24	`intercepts` 4`x`−3`y`=24
extreme f(x)=3x^2-30x-8	`extreme` `f`(`x`)=3`x`²−30`x`−8
f(x)=3x-6,(0,4)	`f`(`x`)=3`x`−6,(0,4)
line (4,6),(-1,-14)	`line` (4,6),(−1,−14)
x=1f(x)=-2x^2-3x,x=1	`x`=1`f`(`x`)=−2`x`²−3`x`,`x`=1
line (-4,-2),(4,12)	`line` (−4,−2),(4,12)
f(c)=-13c	`f`(`c`)=−13`c`
line (2,-9),(-1,6)	`line` (2,−9),(−1,6)
g(f)=-47f	`g`(`f`)=−47`f`
x=3+t,y=-t^2	`x`=3+`t`,`y`=−`t`²
slope y=6	`slope` `y`=6
slope y=5	`slope` `y`=5
slope x=3	`slope` `x`=3
slopeintercept 5x-4y=8	`slopeintercept` 5`x`−4`y`=8
slope y=7	`slope` `y`=7
transform f(x)=log_{10}(x)	`transform` `f`(`x`)=log₁₀(`x`)
domain\&range y=log_{10}(x)	`domain`\
intercepts f(x)=log_{10}(x)-4	`intercepts` `f`(`x`)=log₁₀(`x`)−4
simplify log_{3}(a/3)	`simplify` log₃(`a`3 )
line m= 1/3 ,(-3,7)	`line` `m`=13 ,(−3,7)
y+1=(-1)/(2x),(-8,7)	`y`+1=−12`x` ,(−8,7)
avgchangerate g(x)=-x^2+4x+9,-2<= x<= 4	`avgchangerate` `g`(`x`)=−`x`²+4`x`+9,−2≤ `x`≤ 4

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