Square Root Functions
Inverse Variation Functions
Inverse/Direct Variation
Systems
Transformations
100
Solve
x^2/3=27
±9
100
What are the horizontal and vertical asymptotes of the function:
y=1/(x-7)+3
HA: y=3
VA: x=7
100
Y varies directly with x. If y = -4 when x = 2, find y when x = -6.
y = 12
100
Find the solution of the following system:
g(x)=sqrt(x-2)-5
f(x)=sqrt(x-4)
No solutions
100
Write the equation of the graph.
sqrt(x-2)+3
200
+100 points for whoever chose this!! :)
Graph the function and state the domain and range.
y=sqrt(x-3)+5
Domain: x≥ 3
Range: y≥ 5
200
Solve for x.
4/(x+2)=3/x
x=6
200
Y varies inversely with x. If y = 40 when x = 16, find x when y = -5.
x = -128
200
Find the solution of the following system:
f(x)=-1/(x+1)-2
g(x)=2/(x+3)
(-1.314, 1.186) and (-4.186, -1.686)
200
When comparing
f(x)=sqrtx
to
f(x)= 3sqrt(-x-4)-6
, what sort of transformation took place?
Stretch by 3, reflection over the y-axis, right 4, down 6
300
Solve
sqrt(x-3)+5=7
x=7
300
What is the domain and range for the following function?
y=1/(x+1)-2
x≠ -1
y≠ -2
300
The number of kilograms of water in a person’s body varies directly as the person’s mass. A person with a mass of 90 kg contains 60 kg of water. How many kilograms of water are in a person with a mass of 50 kg?
33.3 kilograms
300
Find the solution of the following system:
f(x)=2/(x+3)
g(x)=sqrt(x+1)
(-0.4057, 0.771)
300
In which quadrant of the coordinate plane is the graph of
y=-sqrt(-x)
Quadrant 3
400
Graph the function and state the domain and range.
y=2sqrt(x)-2
Domain: x≥0
Range: y≥ -2
400
Solve
54/(2x)=3x
x=± 3
400
The amount of acreage of a field varies directly with the number of bushels of wheat it can produce. If a 20-acre field produces 300 bushels of wheat, find the amount of bushels produced from a 50-acre field.
750 bushels
400
The price of a stock, A(x), over a 12-month period decreased and then increased according to the equation
a(x)=0.75x^2-6x+20
where x equals the number of months. The price of another stock, B(x), increased according to the equation
b(x)=2.75x+1.50
over the same 12-month period. Graph both equations and state all prices, to the nearest dollar, when both stock values were the same.
Remember, x values represent "when", y values represent "what" or "where"
$9.13 after 2.7 months and $25.96 after 8.9 months.
400
When comparing
f(x)=sqrtx
to
f(x)= -sqrt(x+2)+1
, what sort of transformation took place?
Reflection over the x-axis, left 2, and up 1
500
Solve
sqrt(4x+5)=sqrt(2x-17)
x=-11
500
Find the vertical and horizontal asymptotes AND the domain and range of the function.
y=2/x-4
VA: x=0, HA: y= -4
Domain x≠0, Range y ≠ -4
500
The pressure P of a compressed gas varies inversely with the volume of the gas V. If there is a pressure of 25 pounds per square inch when the volume of gas is 400 cubic inches, find the pressure when the gas is compressed to 200 cubic inches.
50 lbs per square inch
500
A punter kicks a football. Its height (h) in meters, t seconds after the kick is given by the equation:
h=-4.9t^2+18.24t+.8
. The height of an approaching blocker’s hands is modeled by the equation:
h=-1.43t+4.26
using the same time. Can the blocker knock down the punt? If so, at what time does this happen?
Yes, at .18 seconds
500
Write a square root function matching the description: stretched vertically by a factor of 10, translated 5 units down, and reflected over the y-axis.
10sqrt(-x)-5