Investing Exponential Functions

Which does y = (2)^x represent?

• Exponential Growth

• Exponential Decay

The horizontal line that a exponential function approaches but never touches

• Asymptote

• Growth Factor

• Axis of Symmetry

What is it about the equation y = 2(9/7)^x that indicates that it is a model for exponential growth?

• The equation is growth because 2 is positive.

• The equation is growth because the factor is positive.

• The equation is growth because the factor is greater than one.

• The equation is growth because the exponent is always positive.

Consider the equation y=200(1.08)^x which models the increase in value of an autographed Annie program. Let y = the value of the item, let x = the number of years since the performance. What does the 1.08 in the equation indicate?

• The value of the item is increasing by $1.08 each year.

• The value of the item is increasing by 1.08% each year.

• The value of the item will increase to $200 1.08 years after purchase.

• The value of the item is increasing by 8% each year.

Consider the equation 70(0.8)^x + 2. What is the end behavior of the function as x approaches infinity?

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Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

• (.27)^x
• .27
• 13
• 3.51

Which of the following is an increasing exponential function whose y-intercept is 50?

• y = 50(.05)^x

• y = 50x - 4

• y = (2)^x + 50

• y = 50(1.4)^x

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

Is the pictured graph growth, decay, or linear or none?  

• Growth

• Decay

• Linear

• None

Classify the function, f(x) = 6.5(0.85)^x.

• exponential growth

• exponential decay

• positive linear

• negative linear