Algebra II

Graph the function

y = 3(4)^x

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Tags

CCSS.HSF-IF.C.7E

Graph the function

f(x) = 6(1/2)^x - 5

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Tags

CCSS.HSF-IF.C.7E

Describe the transformation, Domain & Range of the function:
g(x) = (1/6)^x-3 + 5

• Decay; 3 Right, 5 Up
  D: ℜ
  R: y > 5
• Decay; 5 Left, 3 Up
  D: ℜ
  R:y > 3
• Growth; 3 Left 5 Up
  D: ℜ
  R: y < 5
• Decay; 5 Right, 3 Up
  D: ℜ
  R: y > 3

Describe the transformation, Domain & Range:
f(x) = (1/3) ^x+2

• Growth; Up 2
  D: ℜ
  R: y > 2
• Decay; 2 Left
  D: ℜ
  R: y > 0
• Decay; Right 2
  D: ℜ
  R: y > 0
• Decay; Up 3
  D: ℜ
  R: y > 2

Describe Domain & Range:
f(x)= - (3/4)^x+1 - 7

• D: ℜ
  R: y > -7
• D: ℜ
  R: y > 7
• D: ℜ
  R: y < -7
• D: ℜ
  R: y < 7

Describe the transformation:
g(x) = 2^x-4 + 1

• Growth; Right 4
  Up 1
• Decay; Right 4
  Up 1
• Growth; Left 4
  Up 1
• Decay; Left 4 
  Up 1

Every ten years, the Bureau of the Census counts the number of people living in the US. In 1830, the population of the US was 12.87 million. By 1840, this number had grown to 17.07 million. Write the equation in terms of x, the number of decades x since 1830. 

• 12.87(1.33)^x
• 12.87(0.76)^x
• 17.07(1.33)^x
• 17.07(0.76)^x

Tags

CCSS.HSF.LE.A.2

If the function p(x) = 13.85(1.42)^x represents the the population (in millions) of the US, as taken by the Census Bureau every ten years since 1850, What will be the population in 2020?

• 334.34 million
• 5374.67 million
• 5.8063 million
• 16507.2 million

The production of a new car model in the year 2000 was 1.35 million units. In the year 2010, it rose to 3.7 million. Write an exponential function to model the cars y produced after x years.

• 1.35(2.74)^x
• 1.35(1.106)^x
• 3.7(2.74)^x
• 3.7(0.36)^x

Tags

CCSS.HSF.LE.A.2

If the function c(x) = 1.35(1.106)^x represents the production of cars each year, x,  since 2000, estimate the difference in the increase of car production between 2010 and 2025.

• 13.06 million
• 16.76 million
• 3.7 million
• 20.46 million