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Function Transformations (Domain/Range) - Double Transformation (Variables) to Transformed Domain/Range

Level 1

The topics in this unit focus on understanding how transformations change functions and the effects of stretch, compression, reflection, and moving the vertex. Work on practice problems directly here, or download the printable pdf worksheet to practice offline.

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Function Transformations (Domain/Range) - Double Transformation (Variables) to Transformed Domain/Range Worksheet

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Function Transformations (Domain/Range) - Double Transformation (Vari...
1
If the range of f(x) is [a,b], what is the range of g(x)?
A LaTex expression showing g(x) = m times f(x)- t
a A LaTex expression showing [m times a-t,m times b-t]
b A LaTex expression showing [a over m , b over m ]
c A LaTex expression showing [a,b]
2
If the domain of f(x) is [a,b], what is the domain of g(x)?
A LaTex expression showing g(x) = w times f(p times x)
a A LaTex expression showing [
b A LaTex expression showing [a over p , b over p ]
3
A LaTex expression showing g(x) = f(-r times x)
If the domain of f(x) is [a,b], what is the domain of g(x)?
a A LaTex expression showing [-b over r , -a over r ]
b A LaTex expression showing [
4
A LaTex expression showing g(x) = - f(t times x)
If the domain of f(x) is [a,b], what is the domain of g(x)?
a A LaTex expression showing [
b A LaTex expression showing [a over t , b over t ]
5
A LaTex expression showing g(x) = - f(p times x)
If the domain of f(x) is [a,b], what is the domain of g(x)?
a A LaTex expression showing [a over p , b over p ]
b A LaTex expression showing [
6
If the domain of f(x) is [a,b], what is the domain of g(x)?
A LaTex expression showing g(x) = f(x+ r)- t
a A LaTex expression showing [a-r,b-r]
b A LaTex expression showing [
7
If the range of f(x) is [a,b], what is the range of g(x)?
A LaTex expression showing g(x) = r times f(-x)
a A LaTex expression showing [-b,-a]
b A LaTex expression showing [-b over r , -a over r ]
c A LaTex expression showing [r times a,r times b]
8
If the range of f(x) is [a,b], what is the range of g(x)?
A LaTex expression showing g(x) = z times f(x+ t)
a A LaTex expression showing [a-t,b-t]
b A LaTex expression showing [z times a,z times b]
c A LaTex expression showing [a-t over z , b-t over z ]