Exponential Functions Comparing

Which variable controls how fast the function grows or decays

• a or the initial value

• b or the growth/decay factor

Tags

CCSS.HSF-IF.C.8B

What is the growth factor in the following function?

y = 2(3)^x

• 2

• 3

• y

• x

Tags

CCSS.HSF-IF.C.8B

Which function is growing the fastest?

• y = 2^x

• y = 3^x

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Which function is growing the fastest

• y = 3(5)^x

• y = 2(6)^x

• y = 20(1/2)^x

Which statement below describes the comparison of the linear function f(x) and the exponential function g(x)?

• The value of g(x) is always greater than the value of f(x).

• The value of g(x) is never greater than the value of f(x).

• The value of g(x) will eventually exceed the value of f(x).

• There is not enough information to compare the value of f(x) to the value of g(x).

Function A is linear and starts with $1000 and increases by $100 each day y=100x+1000. Function B is exponential and begins with $20 but doubles each day y = 20(2)^x. On which interval (domain) does Function B exceed Function A?

• (0,1635.34)

• (0,6.353)

Which statement is true?

• A

• B

• C

• D

Tags

CCSS.8.F.A.2

CCSS.HSF.IF.C.9

Dana and Dona made model rockets. Dana has Rocket 1 and Dona has Rocket 2. Both launch their rockets at the same time. If both rockets continue to increase in height at their same rates, which rocket will be the highest at 40 seconds. Rocket ​ (a)   will be higher, because it is a(n) ​ (b)   function. Rocket ​ (c)   is a(n) ​ ​ (d)   function.

• 1
• Exponential
• 2
• Polynomial
• Linear
• Absolute Value
• Piecewise

Which statement below describes the comparison of rate of change between the linear function f(x) and the exponential function g(x).

• g(x) rate of change is ALWAYS greater than f(x) rate of change.

• g(x) is NEVER greater than f(x) rate of change.

• g(x) will eventually exceed the rate of change of f(x).

• There is not enough information to compare the rate of change of f(x) to g(x).

Tags

TEKS.MATH.8.5C

• 5

• 3

• 4

• 8