Unit 1 · General Functions · 1.1 · Change in Tandem
The function \(f\) is defined by \(f(x)=(x-1)^2-2\). As the input changes from \(x=-1\) to \(x=2\), what is the change in the output value?
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Unit 1 · General Functions · 1.1 · Change in Tandem
The function \(f\) is defined by \(f(x)=2(x-2)^2-1\). As the input changes from \(x=0\) to \(x=4\), what is the change in the output value?
Unit 1 · General Functions · 1.1 · Change in Tandem
The function \(f\) is defined by \(f(x)=3(x-3)^2\). As the input changes from \(x=1\) to \(x=4\), what is the change in the output value?
Unit 1 · General Functions · 1.1 · Change in Tandem
The function \(f\) is defined by \(f(x)=(x-4)^2+1\). As the input changes from \(x=2\) to \(x=6\), what is the change in the output value?
Unit 1 · General Functions · 1.1 · Change in Tandem
The function \(f\) is defined by \(f(x)=2(x-5)^2+2\). As the input changes from \(x=3\) to \(x=6\), what is the change in the output value?
Unit 1 · General Functions · 1.12 · Transformations of Functions
The graph of \(g\) is defined from the graph of \(f\) by \(g(x)=f(x-1)+2\). Which translation maps the graph of \(f\) to the graph of \(g\)?
Unit 1 · General Functions · 1.12 · Transformations of Functions
The graph of \(g\) is defined from the graph of \(f\) by \(g(x)=f(x+2)-3\). Which translation maps the graph of \(f\) to the graph of \(g\)?
Unit 1 · General Functions · 1.12 · Transformations of Functions
The graph of \(g\) is defined from the graph of \(f\) by \(g(x)=f(x-3)+4\). Which translation maps the graph of \(f\) to the graph of \(g\)?
Unit 1 · General Functions · 1.12 · Transformations of Functions
The graph of \(g\) is defined from the graph of \(f\) by \(g(x)=f(x+4)-5\). Which translation maps the graph of \(f\) to the graph of \(g\)?
Unit 1 · General Functions · 1.13 · Function Model Selection and Assumption Articulation
For inputs \(x=0,1,2,3\), a data set has outputs \(2, 4, 6, 8\), respectively. Which function type best models these data?