Properties of Exponents and Exponential Functions

Simplify the expression

• x²/2

• 2/x¹⁴

• 2x¹⁴

• 2/x²

According to exponent rules, when we multiply two power with the same base we _______ the exponents.
Example: c⁶ ⋅ c⁴

• add

• subtract

• multiply

• divide

According to exponent rules, when we divide two powers with the same base we _______ the exponents.
Example: h⁸ / h³

• add

• subtract

• multiply

• divide

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 + 0.35)^x

• y = 15(0.35)^x

• y = 35(1+ 0.15)^x

What type of function is y = 7(5/4)^x?

• Exponential Growth

• Exponential Decay

• Linear

• None of the above

What is the asymptote of the function?

• x = 1

• y = 1

• x = 0

• y = 0

Does the graph show an example of exponential growth or decay?

• Growth

• Decay

• The first part of the graph is growth and the second part is decay

• The graph shows neither growth, nor decay.

Which graph best represents the function

f(x) = 5(2)^x?

• 
• 

Is this exponential growth or decay?

• Growth

• Decay

• The graph shows decay, then growth

• Neither

Look at the graph and answer each question.

Does the graph show growth or decay?

What is the y-intercept?

What is the asymptote?

• Growth

  y-intercept: (0, 5)

  asymptote: y = 0

• Decay

  y-intercept: (0, 5)

  asymptote: y = 0

• Growth

  y-intercept: (0, 5)

  asymptote: y = 5

• Decay

  y-intercept: (0, 5)

  asymptote: x = 0