Download 6 - Garnet Valley School District

6.6 Practice WS
Algebra IIB
Name: ___________
Date: ___________
Use the horizontal line test to determine whether the inverse of each
relation is a function.
1.
2.
Find the inverse of each function. State whether the inverse is a
function.
3. f (x) = 2x – 6
a. Substitute y for f (x).
________________________________
b. Switch x and y.
________________________________
c. Solve for y. This is the inverse.
________________________________
d. Is the inverse a function?
________________________________
4.g(x) = x + 9
6. p(x) = x2 + 1
5. h x  
x
1
2
7. b x   x  7
Determine by composition whether each pair of functions are inverses.
8. g  x   x  4 and r(x) = x2 +4
9. s x   3 x 1 and t  x  
1 x
3
Old Skills:
10)
Padma rented a bike for x hours and a kayak for y hours while she was on vacation.
a.
She rented the bike and kayak for a total of 7 hours. Write an equation to represent
the solution.
b. The bike cost $6 an hour and the kayak cost $10 an hour. Padma spent a total of $60
for the bike and kayak rentals. Write an equation to represent the solution.
c. How many hours did Padma rent the kayak? Show or explain your work.
Graph each function.
4 if x  2

11. f  x    1
x if  2  x

2
18  x if x  5
12. g  x   
2 x  3 if x>5