# Lesson Worksheet: Graphs of Logarithmic Functions Mathematics • 10th Grade

In this worksheet, we will practice sketching logarithmic functions with different bases and their transformations and studying their different characteristics.

Q1:

Which curve is ? • A(b)
• B(d)
• C(a)
• D(c)

Q2:

Which graph represents the function ?

• A • B • C • D • E Q3:

Which function represents the following graph? • A
• B
• C
• D
• E

Q4:

Find the missing table values for .

 𝑥 ℎ(𝑥) −2 1 2 ⋯ ⋯ ⋯
• Aundefined,
• B
• C
• Dundefined, 0, 1

Q5:

Fill in the blank: All the curves of logarithmic functions, , for any positive base pass through the point .

• A
• B
• C
• D
• E

Q6:

Consider the function .

Which graph represents this function?

• A • B • C • D • E Which of the following is an approximated value of ?

• A1.15
• B
• C2.32
• D0.87
• EUndefined

Q7:

If the graph of passes through the point , find the value of .

Q8:

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

Q9:

For which values of is the function decreasing?

• A
• B
• C
• D

Q10:

Given that the figure shows the graph of the function , which of the following correctly expresses in terms of . • A
• B
• C
• D