Exponential Functions Characteristics and Growth and Decay

Determine if the following function is an exponential function?

• 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

Determine if the following function is an exponential function?

• 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

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

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

Identify the key characteristics of the graph:

• (0,-6.75)

• y = -7

• all non real numbers

• y = 7

• (6,2)

• y < -7

Identify the key characteristics of the graph:

• (0,-0.0123)

• y = 0

• all of dem numbers

• x = 11

• (0,0)

• y > -0