Practice: Characteristics of Log Graphs

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1

What is the asymptote for the logarithmic function

 $f\left(x\right)=\log\left(x-2\right)$  

• x = 2

• x = -2

• y = 2

• y = -2

Which graph matches the function

*remember the transformation has shifted it right 3 and down 3

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What are the transformations of this graph?

• Right 1 Up 5
• Right 1 Down 5
• Left 1 Up 5
• Left 1 Down 5

This graph is _______________.

• increasing

• decreasing

The graph is ________________.

• increasing

• decreasing

What is the x-intercept of log₇(x)?

• Pizza
• -1
• 0
• 1

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

Match the graph with its equation

• y = log₅ (x + 1) + 1 
• y = log₅ (x - 1) + 1 
• y = log₅ (x²) + 1 
• y = log₅ (x)-1

Where is the asymptote?

• x = 1
• y = 1
• x = -1
• y = -1