5.3.1: Graphs and Properties of Exponential Growth and Decay Functions (Exercises)
 Page ID
 39446
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SECTION 5.3 PROBLEM SET: GRAPHS AND PROPERTIES OF EXPONENTIAL GROWTH AND DECAY FUNCTIONS
In questions 14, let \(t\) = time in years and \(y\) = the value at time \(t\) or \(y\) = the size of the population at time \(t\). The domain is the set of nonnegative values for \(t\); \(t ≥ 0\), because \(y\) represents a physical quantity and negative values for time may not make sense. For each question:
 Write the formula for the function in the form \(y = ab^t\)
 Sketch the graph of the function and mark the coordinates of the yintercept.




In questions 58, let \(t\) = time in years and \(y\) = the value at time \(t\) or \(y\) = the size of the population at time \(t\). The domain is the set of nonnegative values for \(t\); \(t ≥ 0\), because \(y\) represents a physical quantity and negative values for time may not make sense. For each question:
 Write the formula for the function in the form \(y = ae^{kt}\)
 Sketch the graph of the function and mark the coordinates of the yintercept.




For questions 912
 Sketch a graph of exponential function.
 List the coordinates of the y intercept.
 State the equation of any asymptotes and state the whether the function approaches the asymptote as x →∞ or as x→ −∞ .
 State the domain and range.



