Use the graph of \(f(x) = 1 - x\) to sketch the graph of \(y = |1 - x|\).
Refer to the worked solutions for sketch of graph
Use the graph of \(f(x) = {\log _2}x\) to sketch the graph of \(y = |{\log _2}x|\).
Use the graph of \(f(x) = {2^x} - 1\) to sketch the graph of \(y = |{2^x} - 1|\).
Use the graph of \(f(x) = {2^x} - 1\) to sketch the graph of \(y = {2^{|x|}} - 1\).
Sketch the function \(f(x) = |x|\) and from your sketch discuss the gradient function at \(x = 0\)
Refer to worked solution
Given that \(f(x) = x - 2\) then \(g(x) = \left| {f(x)} \right|\) is?
\(A\)
Given that \(f(x) = x(x - 2)\) then \(g(x) = \left| {f(x)} \right|\) is?
\(C\)
Given that \(f(x) = x(x - 2)\) then \(g(x) = \left| x \right|{\rm{(}}\left| x \right| - 2)\) is?
Given that \(f(x) = x{(x - 2)^2}\) then \(g(x) = \left| x \right|{{\rm{(}}\left| x \right| - 2)^2}\) is?
\(D\)
Use the graph of \(f(x)=1-x\) to sketch the graph of \(y=1-|x|\)
Use the graph of \(f(x)=3 x^2-x^3\) to sketch the graph of \(y=3\left|x^2\right|-\left|x^3\right|\)
Use the graph of \(f(x)=\log _2 x\) to sketch the graph of \(y=\log _2|x|\)
Use the graph of \(f(x)=3 x^2-x^3\) to sketch the graph of \(y=|f(x)|\)
