Introduction to Graphing Logarithmic Functions

Explain the behavior of the asymptote in a logarithmic function graph.

• The asymptote in a logarithmic function graph is a vertical line that the graph approaches but never touches.

• The asymptote in a logarithmic function graph is a horizontal line

• The asymptote in a logarithmic function graph is a point where the graph intersects

• The asymptote in a logarithmic function graph is a curve that the graph follows

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What is the general shape of a basic logarithmic function graph?

• Square

• Curve

• Circle

• Straight line

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How does changing the base of a logarithmic function affect its graph?

• Changing the base of a logarithmic function affects its graph by rotating it vertically.

• Changing the base of a logarithmic function affects its graph by changing the color of the graph.

• Changing the base of a logarithmic function affects its graph by shifting it horizontally.

• Changing the base of a logarithmic function affects its graph by stretching or compressing it horizontally.

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How can you determine the vertical asymptote of a logarithmic function graph?

• Look for the horizontal line where the argument of the logarithm is less than or equal to zero.

• Check if the function is continuous at x=0.

• Count the number of x-intercepts on the graph.

• Find the vertical line where the argument of the logarithm is less than or equal to zero.

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Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1 

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

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Which graph matches the equation

• 
• 
• 
• 

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Graph

• A

• B

• C

• D

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Match the graph with its equation

• y = log₆(-x) + 1

• y = log₆(x − 2) + 1

• y = log₆(x + 2) - 1

• y = log(x-8) + 1

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Match the graph with its equation

• y = log₄ (x)+2

• y = log₄ (x + 2) + 1

• y = log₄ (x - 1) + 2

• y = log₄ (-x + 2)

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CCSS.HSF-IF.C.7E

What happens to the graph of a logarithmic function when the base is greater than 1?

• The graph shifts to the right and is reflected over the line y = x.

• The graph remains unchanged.

• The graph shifts to the left and is reflected over the line y = x.

• The graph becomes a straight line.

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