Year 12 Methods (Unit 3 & 4)
Exponential and logarithmic functions
Graphing logarithmic functions
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Questions
Question 1
194082
Consider the logarithmic function \(y=\log_{2} x\).
(i) Write the equation of the vertical asymptote.(ii) State the \(x\)-value where the graph crosses the \(x\)-axis.
(iii) State whether the function is increasing or decreasing.
(iv) State the domain.
Part a:
\(x=0\)
Correct
\(y=0\)
\(x=1\)
\(x=2\)
Part b:
1
1 mark
Part c:
Decreasing
Increasing
Correct
Constant
Neither
Part d:
\(x<0\)
all real \(x\)
\(x>0\)
Correct
\(x\ge 0\)
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