Exponential and Logarithmic Functions
If the population of a certain species of fish decreases by 12% each year, which function type best models this situation?
Exponential decay function
Quadratic function
Logarithmic function
Linear function
When modeling data with a logarithmic trend, which equation would you use to predict the value of y when x is increased tenfold?
In modeling population growth using an exponential function , with being initial population and being growth rate, what logarithmic equation would you use to find how long it takes for population to double?
t=\frac{\ln(2)}{r}
t=\frac{\ln(P_0/2)}{r}
t=\frac{\ln(P_0)}{r}
t=\frac{r}{\ln(2)}
If you have an equation involving logarithms where you need to solve for x that looks like , what is the value of x?
9
15
-9
-11
What does it mean if a function is continuous at a point x = c?
The function has an asymptote at x = c
The function reaches its maximum value at x = c
The derivative of the function does not exist at x = c
The function has no breaks, jumps, or holes at x = c
What is the base of the common logarithm?
1
10
π
2
Given , for which domain value does occur?
-8
-7
.7
8

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Which term best describes a logarithmic graph that appears to get infinitely close to an axis but never touches it?
Vertex
Intercept
Discontinuity
Asymptote
If the population of a certain bacteria culture doubles every 3 hours, which logarithmic function represents the time in hours it takes for the population to reach if the initial population is ?
t = 3\log_{10}\left(\frac{P}{P_0}\right)
t = \frac{1}{3}\log_{2}\left(\frac{P}{P_0}\right)
t = \log_{2}\left(\frac{3P}{P_0}\right)
t = 3\log_{2}\left(\frac{P}{P_0}\right)
If Represents General Form For Set Transformed Functions Where Greater Than Zero Not Equal To One How Will Parameter Effect Graph?
Vertical translation determined Either Upwards Downwards Depending Sign 's Value
Horizontal Stretch Shrinkage Occurs As Increases Decreases Relative Original Curve
Rotation Around Origin Whose Angle Depends Magnitude Direction Sense Given 's Value
Alteration Pitch Steepness Slope Generated Through Adjustment Size Value