Unit 1 Test Review Name: _____________________________
This review will be turned in day of test. Please show all work and complete in an organized fashion.
1. Describe the transformations following the order of operations… f ( x )=(−x−3)2 +5. Sketch graph
and state the domain & range of the new function.
2. If A(-5, 3) is a point on a graph what would be a point on the inverse of that function?
3. Graph and state the domain and range of the function f ( x )=2|x|+2 .
4. Find the slope-intercept form of the line that is parallel to y=−2 x +5 passing through (1, 4).
5. Sketch the graph of f ( x )= {−4√ xx−1 ; x< 0
+2; x ≥ 0
f ( x+ h )−f (x )
6. Given f ( x )=2 x 2−3 x +4 , find
h
7. Find the domain & range of the inverse of f ( x )= √ x−2+ 4 .
8. Find the inverse of f ( x )= √ x +3+ 4 then verify algebraically and graphically.
9. Given f ( x )=−4 x 2−3 x +4 find f ( 2 ), f ( 12 ), f ( x−3 )
10. Multiple Choice: Which of the following functions f ¿ ) and g(x ) could be used to
find h ( x )=( x+ 2)3−4 given that h ( x )=f ( g ( x ) ) .
a) f ( x )=x +2 b) f ( x )=x 3−4 c) f ( x )=x 3 +2 d) f ( x )=x 3 3
g ( x )=x −4
g ( x )=x+ 2 g ( x )=x−4 g ( x )=x+ 2
11. Given the graphs of f, sketch f ( x ) below, sketch f ( 2 x )−3
f(x)
12. Find the average rate of change given f ( x )=3 x 2−x from x 1=2 to x 2=4 ?
13. A climber is on a hike. After 2 hours he is at an altitude of 400 feet. After 6 hours he is at an altitude
of 700 feet. What is the average rate of change he made between hours 2 and 6?
