Can you arrange the functions \(f(x)=x^2\), \(f(x)=-1\), \(f(x)=x\) and \(f(x)=x^3\) in the table below so that they have the properties stated in each cell?
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Graph is straight \(y\)-axis is a line of symmetry \[f(x)= \cdots\] |
Graph is straight \(y\)-axis is not a line of symmetry \[f(x)= \cdots\] |
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Graph is not straight \(y\)-axis is a line of symmetry \[f(x)= \cdots\] |
Graph is not straight \(y\)-axis is not a line of symmetry \[f(x)= \cdots\] |
Can you explain why each function is in each cell?
Which other functions could fit in the cells of this table?
