Writing and interpreting exponential functions

What type of function is the inverse of a logarithm?

• Logarithmic

• Square Root

• Quadratic

• Exponential

The breakdown of a sample of a chemical compound is represented by the function p(t) = 300(0.5)^t , where p(t) represents the number of milligrams of the substance and t represents the time, in years. In the function p(t), explain what 0.5 and 300 represent.

• 300 is the initial amount and 0.5 is the growth factor

• 300 is the initial amount and 0.5 is the decay factor

• 0.5 is the initial amount and 300 is the growth factor

• 0.5 is the initial amount and 300 is the decay factor

What is a, the initial amount, for the function: f(x) = 300(1.16)^x?

• 300

• 1.16

• .16

• x

In an exponential function, what does the 'a' represent?

• Slope

• Rate of change

• Y-intercept

• Multiplier

• 1.5

• 0.98

• 1.47

• 0.02

The 'x' in an exponential function represents the (a)   .

• Slope
• Rate of Change
• Time Interval
• Common Ratio

The equation f(x) = 9000 ⋅ (0.985)^t models the population of Blueville, where x represents the number of years since 2012. What is the population of Blueville in 2012?

• 135

• 985

• 8865

• 9000

 $f\left(x\right)\ =\ 250\left(\frac{1}{4}\right)^t$  
Initial Value?