Quiz: 4.12: Step Functions
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#4 How does the graph of g(x)=2⌈x⌉ differ from the graph of f(x)=⌈x⌉?


Multiplying by 2 compresses the graph of ​ g(x)=2⌈x⌉ ​vertically by a factor of 2.

Multiplying by 2 shifts the graph of​ ​ g(x)=2⌈x⌉ ​ up 2 units.

Multiplying by 2 shifts the graph of ​ g(x)=2⌈x⌉ ​ ​down 2 units.

Multiplying by 2 stretches the graph of ​ g(x)=2⌈x⌉ vertically by a factor of 2.


#5 How does the graph of g(x)=⌊x⌋−3 differ from the graph of f(x)=⌊x⌋?


The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted down 3 units.

The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted right 3 units.

The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted left 3 units.

The graph of g(x)=⌊x⌋−3 is the graph of f(x)=⌊x⌋ shifted up 3 units.