Worksheet: Graphs of Logarithmic Functions
In this worksheet, we will practice sketching the logarithmic function and its transformation and studying its different characteristics.
Q2:
For which values of is the function decreasing?
- A
- B
- C
- D
Q3:
Use technology to plot the graphs of and . Find the coordinates where if the curves intersect, giving your answer to two decimal places.
- A ,
- B ,
- C ,
- D ,
- E ,
Q4:
Use the graph of to list the values of for to two decimal places. For example, we see that .
- A0.20, 0.30, 0.60, 0.70, 0.78
- B0.30, 0.35, 0.60, 0.70, 0.75
- C0.30, 0.40, 0.60, 0.80, 0.90
- D0.18, 0.30, 0.40, 0.477, 0.544
- E0.30, 0.48, 0.60, 0.70, 0.78
Q6:
Given that the figure shows the graph of the function , express in terms of .
- A
- B
- C
- D
Q7:
The graph of the function passes through the point . What is the value of ?
Q8:
Which graph represents the function ?
- A
- B
- C
- D
- E
Q9:
Which function represents the following graph?
- A
- B
- C
- D
- E
Q10:
Which of the following functions is increasing?
- A
- B
- C
- D
- E
Q11:
Specify the behavior of the function .
- AIncreasing
- BUndefined
- CDecreasing