4.1
Does the table of values represent an inverse variation?
x 14 -2 6 -28
y 3 3 -21 -15
It is a inverse variation
State end behavior
y= (x+9)/(3x-4)
x→ -∞ ,f(x)→1/3
x→ ∞ ,f(x)→ 1/3
Simplify
(x2+4-12)/(x2+5x+6)
(x-9)/(x+3)
Simplify
(2x+23)/(x+7) + (2x-9)/(x+7)
2(2x+7)/(x+7)
Solve for x
(5x)/5 = 855/5
X=171
In a direct variation, x=8 and y=12
what is the equation that represents the direct variation?
y=kx
y=1.5x
write into translated form
f(x)= (8x-3)/(x+7)
f(x)= 18/(x+7) +18
Simplify
(x2+4-12)/(x2-36)
(x+2)/(x+6)
Simplify
(x+9)/2 + (x+13)/4
(3x+31)/4
Solve for x
x/(2x+6) = 2/(4x+12)
X=2, -1.5
In a direct variation, x=27 and y=9,
when y=kx what is the value of y when x=4?
y=12
write into translated form
f(x)= (7x+4)/(x-5)
f(x)= -31/(x-5) +7
multiply
(x2+12+35)/(x2-3-28) × (x2-16)/(x2+1-20)
(x+7)/(x-7)
Simply
(x+22)/(x+4) + (7x-2)/(x+4)
2(4x+10)/(x+4)
Solve for x
9/(3x) = 8/(x-15)
X=-7
In a inverse variation, x=7 and y=-28
when y=kx what id the value of y when x=-5?
y=20
Write into translated form
f(x)= (3x+5)/(x-2)
f(x)= 11/(x-2) +6
Divide
(x2-2-15)/x2-16) ÷ (x2+13+40)/(x2-7+12)
(x-3)/(x+4)(x+8)
Simplify
(x2-6x)/(x-8) - 16/(x-8)
(x+2)
Solve for x
(8x)/(x-3) = 10+ (6)/(x-3)
X=12