# 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