GP3-CA-HW6 Name:_________________________________________Period: _____Quiz on Friday 1/15/16

1.)Identify the intervals where the function is increasing, decreasing, and constant. (Express your answer using interval notation)

Increasing on ____________________________________

Decreasing on ____________________________________

Constant on ____________________________________

2 thru 4. Identify each function as even, odd, or neither.

2.) _____________ 3.) _____________ 4.) _____________

5 thru 7. Identify each function as even, odd, or neither. f ( x )=x4−2 x2+1

5.) __________________

g ( x )=x7−x

6.) __________________

h ( x )=x3+1

7.) __________________

8.) If f (−4 )=3 and g ( x )=−2 f (x+2), then determine the coordinates of a point on the graph of g.

9.) If f (6 )=1and g ( x )=3 f (−2x )+1, then determine the coordinates of a point on the graph of g.

10.) Let f ( x )=√x . Write the function obtained from a horizontal shrink by a factor of 12 , followed by a

reflection across the y-axis, and then finally shifted down 1 unit.

11.) Let f (x )=ex .Write the function obtained from shifting the graph of f to the right 2 units, followedby vertical stretch by a factor of 2, and then finally shifted 5 units up.

Use the word bank and equation bank above to answer 12 thru 13.12.) 13.) 14.)

15.) 16.) 17.)

18.) _____

g1 ( x )=f ( x+4 )

_____

g2 ( x )=f ( x+5 )−4

_____

g3 ( x )=f ( x−5 )+5

_____

g4 ( x )=f (−x+5 )−4

_____

g5 ( x )=−f ( x )+7

19.) Determine the equation for g.