Square Root/Inverse Variation Functions Review 2

Square Root Functions

100

Graph the function and state the domain and range.

y=sqrt(x-3)+5

Domain: x≥ 3

Range: y≥ 5

200

TRIVIA QUESTION!

Which chemical element has the symbol "Pt" on the periodic table?

Platinum

300

Solve

sqrt(x-3)+5=7

x=7

400

Graph the function and state the domain and range.

y=2sqrt(x)-2

Domain: x≥0

Range: y≥ -2 

500

Solve

sqrt(4x+5)=sqrt(2x-17)

x=-11

Inverse Variation Functions

100

What are the horizontal and vertical asymptotes of the function:

y=1/(x-7)+3

HA: y=3

VA: x=7

200

Solve for x.

4/(x+2)=3/x

x=6

300

What is the domain and range for the following function?

y=1/(x+1)-2

x≠ -1

y≠ -2

400

TRIVIA QUESTION! 

In "The Wizard of Oz", what was the lion in search of?

Courage

500

Find the vertical and horizontal asymptotes AND the domain and range of the function.

y=1/x-4

VA:  x=0, HA: y= -4

Domain x≠0, Range y ≠ -4

Inverse/Direct Variation

100

Y varies inversely with x. If y = 40 when x = 16, find x when y = -5.

x = -128

200

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

TRIVIA QUESTION!

Which American road runs from Chicago to Los Angeles?

Route 66

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

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

Transformations

100

Write the equation of the graph. 

sqrt(x-2)+3

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

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

400

TRIVIA QUESTION!

How many legs does a crab have?

10

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