Unit 6 Illuminate Test Review

Everett is making a concrete path x feet wide around a rectangular fish pond that measures 6 feet by 12 feet.

Which function represents the total area, A(x), of the path and the fish pond?

• 0

  54

  76

  66

  24

• 24

  76

  66

  54

  0

• 0

  66

  76

  54

  24

• 24

  66

  76

  54

  0

• The domain consists of all real numbers from 0 to 36. The range consists of all real numbers from 0 to 3.

• The domain consists of all whole numbers from 0 to 3. The range consists of all whole numbers from 16 to 48.

• The domain consists of all real numbers from 0 to 3. The range consists of all real numbers from 0 to 36.

• The domain consists of all rational numbers from 16 to 48. The range consists of all real numbers from 0 to 36

The coordinate plane shows the graphs of three functions.

Which of the functions, if any, eventually exceeds f(x) as x approaches infinity?

• h(x) only

• both g(x) and h(x)

• g(x) only

• neither g(x) nor h(x)

• 8

  48

  0.64

  12

• 4

  12

  0.32

  8

• 8

  12

  0.32

  4

• 12

  48

  0.64

  8

What is the completely factored form of the expression below?

qs - qtv + rs - rtv

• (q - r)(s + tv)

• (s + r)(q - tv)

• (q + r)(s - tv)

• (qt + r)(s + v)

A company analyzes the relationship between advertising expenses and the revenue generated from product sales. The manager created the following graph to model this relationship.

Choose the numbers to make the statements about the graph correct.

The revenue, in dollars, of the product is $0 when the advertising cost is approximately  $____

The revenue, in dollars, of the product is approximately $____ when the advertising cost is $8.

The revenue, in dollars, of the product is at a maximum when the advertising cost is approximately $____

• 10

  30,000

  5

• 6

  3,000

  10

• 20

  30

  50

• 2

  45,000

  0

• x = 4

  x = -2

• x = -4

  x = 2

• x = -48

  x = 6

• x = 48

  x = -6

Select all equations that could be defined by the graph.  (hint, there are 3)

• y = (x+1)(x+7)   

• y = (x-1)(x-7)

• Shifts up 4

• Quadratic is compressed

• Shifts left 3

• Quadratic is stretched.

• Quadratic is reflected