Graphing Logarithmic Functions-Algebra1-Solved Examples

Solved Examples and Worksheet for Graphing Logarithmic Functions

Q1Identify the graph of the function y = - ln(7x) + 4.

A. Graph 4
B. Graph 1
C. Graph 3
D. Graph 2

Step: 1

y = - ln(7x) + 4

[Write the function.]

Step: 2

x	1	2	3	4
y = -ln(7x) + 4	2.05	1.36	0.96	0.67

[Make a table of values.]

Step: 3

The graph of y = - ln(7x) + 4 is as shown.

[Plot the points from the table of values of y = - In(7x) + 4 and join them with a smooth curve.]

Correct Answer is : Graph 2

Q2Identify the graph of the function y = ln(6x).

A. Graph 3
B. Graph 1
C. Graph 4
D. Graph 2

Step: 1

y = ln(6x)

[Write the function.]

Step: 2

x	1	2	3	4
y = ln 6x	1.79	2.48	2.89	3.18

[Make a table of values.]

Step: 3

The graph of y = ln 6x is as shown.

[Plot the points from the table of values of y = ln 6x and join them with a smooth curve.]

Correct Answer is : Graph 1

Q3Identify the graph of the function y = ln(7x).

A. Graph 2
B. Graph 3
C. Graph 4
D. Graph 1

Step: 1

y = ln(7x)

[Write the function.]

Step: 2

x	1	2	3	4
y = ln 7x	1.95	2.64	3.04	3.33

[Make a table of values.]

Step: 3

The graph of y = ln7x is as shown.

[Plot the points from the table of values of y = ln 7x and join them with a smooth curve.]

Correct Answer is : Graph 1

Q4Identify the graph of the function y = ln(8x).

A. Graph 3
B. Graph 4
C. Graph 1
D. Graph 2

Step: 1

y =ln(8x)

[Write the function.]

Step: 2

x	1	2	3	4
y = ln 8x	2.08	2.77	3.18	3.47

[Make a table of values.]

Step: 3

The graph of y = ln8x is as shown.

[Plot the points from the table of values of y = In8x and join them with a smooth curve.]

Correct Answer is : Graph 1

Q5Identify the graph of the function y = ln(9x).

A. Graph 2
B. Graph 1
C. Graph 4
D. Graph 3

Step: 1

y = ln(9x)

[Write the function.]

Step: 2

x	1	2	3	4
y = ln 9x	2.20	2.89	3.30	3.58

[Make a table of values.]

Step: 3

The graph of y = ln 9x is as shown.

[Plot the points from the table of values of y = ln 9x and join them with a smooth curve.]

Correct Answer is : Graph 1

Q6Identify the graph of the function y = - ln (6x).

A. Graph 2
B. Graph 3
C. Graph 4
D. Graph 1

Step: 1

y = - ln (6x)

[Write the function.]

Step: 2

x	1	2	3	4
y = -ln 6x	-1.79	-2.48	-2.89	-3.18

[Make a table of values.]

Step: 3

The graph of y = - ln 6x is as shown.

[Plot the points from the table of values of y = - ln6x and join them with a smooth curve.]

Correct Answer is : Graph 2

Q7Identify the graph of the function y = - ln(9x) + 5.

A. Graph 2
B. Graph 3
C. Graph 4
D. Graph 1

Step: 1

y = - ln(9x) + 5

[Write the function.]

Step: 2

x	1	2	3	4
y = -ln(9x) + 5	2.80	2.11	1.70	1.42

[Make a table of values.]

Step: 3

The graph of y = - ln(9x) + 5 is as shown.

[Plot the points from the table of values of y = - ln(9x) + 5 and join them with a smooth curve.]

Correct Answer is : Graph 2

Related Worksheet

Related Topic

Graph