Pre-Calculus Quiz - Section 3.1 Exponential Functions

• yes, the following function is an exponential function with the following characteristics:

  1. a = constant factor

  2. b > 0

  3. c is a constant

• yes, the following function is an exponential function with the following characteristics:

  1. a = constant factor

  2. b < 0

  3. c is a constant

• no, the following function is an exponential function with the following characteristics because b < 0

• no, the following function is an exponential function with the following characteristics because b > 0 and a = positive number

• yes, the following function is an exponential function with the following characteristics:

  1. a = constant factor

  2. b = 1

  3. c is a constant

• yes, the following function is an exponential function with the following characteristics:

  1. a = constant factor

  2. b < 0

  3. c is a constant

• no, the following function is an exponential function with the following characteristics because b = 1

• no, the following function is an exponential function with the following characteristics because b > 0 and a = positive number

• 1. H.A: y = 4

  2. y-intercept: (0, 4.03)

  3. Behavior: as x approaches +infinity then the function exponentially grows, as x approaches -infinity then the function approaches the H.A. where y = 4

• 1. H.A: y = 4

  2. y-intercept: (0, -4.03)

  3. Behavior: as x approaches +infinity then the function exponentially grows, as x approaches -infinity then the function approaches the H.A. where y = 4

• 1. H.A: y = -4

  2. y-intercept: (0, 4.03)

  3. Behavior: as x approaches +infinity then the function exponentially grows, as x approaches -infinity then the function approaches the H.A. where y = -4

• 1. H.A: y = 4

  2. y-intercept: (0, 4.03)

  3. Behavior: as x approaches +infinity then the function approaches the H.A. where y = 4, as x approaches -infinity then the function exponentially increases

find the exponential function that passes through the given points (1, 16) (2, 144)

• 1. Horizontal Shift = 3 units right

  2. Vertical Compression by 1/4

  3. Vertical shift by 4 units upward

  4. b = 1/2 = exponential decay

• 1. Horizontal Shift = 3 units left

  2. Vertical Compression by 1/2

  3. Vertical shift by 4 units upward

  4. b = 1/4 = exponential decay

• 1. Horizontal Shift = 3 units right

  2. Vertical stretch by 1/4

  3. Vertical shift by 4 units upward

  4. b = 1/2 = exponential decay

• 1. Horizontal Shift = 3 units right

  2. Vertical Compression by 1/4

  3. Vertical shift by 4 units downward

  4. b = 1/2 = exponential growth

• x = 2

• x = -2

• x = 0

• x = 4

If b > 1 in an exponential function, then the function represents:

• exponential growth

• exponential decay

• exponential growth

• exponential decay

• a = initial value of the equation

  b = represents the growth and decay of the function

• a = represents the growth and decay of the function

  b = initial value of the equation

is the following graph representing exponential growth or exponential decay?

• Exponential Growth

• Exponential Decay