9.1.3 Transforming Functions − Practice
2. Identify the intercepts of f ( x ) and g ( x ).
1. Identify the intercepts of f ( x ) and g ( x ).
f x x g x f x ( ) 4 ( ) (2 ) 2 = − =
2 = −
f x x g x ( ) ( ) =
9
1 3
f x
( )
4. Graph the functions.
3. Graph the functions.
f x x h x f x ( ) 6 2 ( ) 2 − 2 = − =
f x f x ( ) 6 2 ( ) x 2 = − + h x ( ) 3 + =
1 2
3
5. The cost to download data for a certain mobile phone plan is modeled by C ( x ), where x represents the total number of gigabytes downloaded.
6. An academic scholarship awarded by a university is modeled by the function below, where x denotes the final average grade obtained by the student.
x 12 if 0
x ≤ < ≥ 2
2
x x ≤ ≤ < ≤
90
$1000 if 80 $2000 if 90
C x
( )
f x
( )
=
=
x x
18 if
100
The mobile phone company plans to raise the rate per gigabyte by $2.50, and charge 20% more if the number of gigabytes downloaded is 5 or more. Write a function for the new rates.
The university plans to raise the scholarship by $500, and provide an additional 20% for the students with a final grade of more than 95. Write a function for the new scholarship plan.
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