# Worksheet: Graphs of Logarithmic Functions

In this lesson, we will learn how to sketch logarithmic functions with different bases and their transformations and we will study their 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

**Q5: **

Given that the figure shows the graph of the function , express in terms of .

- A
- B
- C
- D

**Q6: **

The graph of the function passes through the point . What is the value of ?

**Q7: **

Which graph represents the function ?

- A
- B
- C
- D
- E

**Q8: **

Which function represents the following graph?

- A
- B
- C
- D
- E

**Q9: **

Which of the following functions is increasing?

- A
- B
- C
- D
- E

**Q10: **

Specify the behavior of the function .

- AIncreasing
- BUndefined
- CDecreasing

**Q11: **

Find the missing table values for .

1 | 2 | ||

- Aundefined,
- B
- C
- Dundefined, 0, 1