f x() - highline college · 7. given the graph of f x() sketch the graph of gx f x()=(3) and ( ) 1...
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2.2.2.2.6666 –––– Transformations of FunctionsTransformations of FunctionsTransformations of FunctionsTransformations of Functions Math 141Math 141Math 141Math 141 Warnock - Class Notes
1. How will the graphs of ( ) 2 2g x x= + and ( ) 2 3h x x= − compare to
( ) 2f x x= ?
x ( )f x ( )g x ( )h x
5
-5 5
-5
2. How will the graphs of ( ) ( )23g x x= − and ( ) ( )22h x x= + compare to
( ) 2f x x= ?
x ( )f x ( )g x ( )h x
5
-5 5
-5
3. How will the graph of ( ) 3g x x= − compare to ( ) 3f x x= ?
x ( )f x ( )g x
4. How will the graph of ( )g x x= − compare to ( )f x x= ?
x ( )f x ( )g x
5
-5 5
-5
5
-5 5
-5
5. How will the graphs of ( ) 22g x x= and ( ) 21
2h x x= compare to ( ) 2f x x= ?
x ( )f x ( )g x ( )h x
5
-5 5
-5
6. Sketch the graph of ( ) ( )22 3 4f x x= − −
5
-5 5
-5
7. Given the graph of ( )f x sketch the graph of ( ) ( )3g x f x= and ( ) 1
3h x f x
= ?
5
-5 5
-5
8. Given the function ( ) 4 23 2 4h t t t= + − evaluate ( )h t− .
9. Given the function ( ) 34 7g t t t= − evaluate ( )g t− .
10. Determine whether the following functions are even, odd, or neither.
a) ( ) 5 1g x x= −
b) ( ) 6h t t t= +
c) ( ) 5 3p s s s= +