Exponential Function Parameters

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. This situation is best modeled by a(n) _________________ function.

• linear

• quadratic

• exponential

• none of the above

A tennis tournament begins with 128 players. At the end of round one, there will be 64 players. There are 32 players at the end of round 2 and 16 players remaining after round 3. Write the equation that best models this situation.

• y = 128x + 0.5

• y = 0.5x + 128

• y = 128(0.5)^x

• y = 128(0.5)^x-1

Which function increases faster? Explain. f(x) = 4x, g(x) = 3^x

• f(x): 4 > 3 which represents the rate of growth in each function

• f(x); there is no x for which g(x) is greater than f(x)

• g(x): as x approached 8, g(x) is greater than f(x) all the way to infinity

• Neither, they increase at the same rate

Write the function to best represent the values in the table.

• y = 3(3)^x

• y = 3x + 3

• y = 3x²

• Not a function

What is the equation of the horizontal asymptote for following exponential function?

• y = -4

• y > -4

• y < -4

• (0, -3)

Answer explanation

y = d

What is the horizontal asymptote for y = 2^x - 3

• y = 0

• y = -3

• x = 0

• x = -3

Answer explanation

y = d

What is the transformation?

• Vertical Translation up 1

• Vertical Translation down 1

• Horizontal Translation left 1

• Horizontal Translation right 1

What transformation best describes the function?

• stretch 

• shrink 

• reflection

• shift down

• Linear

• Quadratic

• Exponential

• Linear

• Quadratic

• Exponential