Exponential Functions

Does the graph represent an exponential growth or an exponential decay function?

• Exponential Growth
• Exponential Decay

Tags

CCSS.HSF-IF.C.7E

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.
• The amount of grams the material is losing.
• The amount of grams remaining after so many years.
• The initial amount of grams.

Tags

CCSS.HSF.LE.B.5

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

Tags

CCSS.HSF.LE.A.2

The amount of ants in a colony, f, that is decaying can be modeled by                      f(x) = 800(.87)^x, where x is the number of days since the decay started. By what percentage is the colony decaying?

• 87%
• 13%
• 800%
• 8.7%

Tags

CCSS.HSF-IF.C.8B

Which of the following functions shows an initial amount of $15 and an increase of 35% each year?

• y = 15(35)^x
• y = 15(1.35)^x
• y = 15(0.35)^x
• y = 35(1.15)^x

Tags

CCSS.HSF.LE.A.2

Identify the initial value:

y = 6.87 (4)^x

• a = 4

• a = 6.87

• a = 3

• a = 1

What does the y-intercept of the graph represent?

• The amount of grams the material is gaining.
• The amount of grams the material is losing.
• The amount of grams remaining after so many years.
• The initial amount of grams.

Tags

CCSS.HSF.LE.B.5

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x
• y = 50x - 4
• y = (2)^x + 50
• y = 50(1.4)^x

Tags

CCSS.HSF.LE.A.2

What type of pattern do exponential functions have?

• Adds or subtracts by the same number every time

• Multiplies or divides by the same number every time

• Square roots all the inputs

Tags

CCSS.HSF-IF.C.8B

What type of pattern do linear functions have?

• Adds or subtracts by the same number every time

• Multiplies or divides by the same number every time

• Square roots all the inputs

Tags

CCSS.HSF.LE.A.2

CCSS.8.F.B.4