worksheet - 3. Precalculus Honors

Addendum Question for Precalculus Honors Final Exam 2013
Restructure each basic shape so that the coefficient of x is positive one. Then determine the basic shape and
if there are any reflections. Discuss any compressions or stretches.
1. y 4 3x
2
y 1 2
5 x 4
2. 3
3.
y
5
10
x 2
1
4.
y
1
4 3 x 2
5. y x
log 40 10 3
6. Find the inverse of:
2x
3
y
4x
5
7. Show that f(x) and g(x) are inverses.
6
5 20
f ( x) x 4
and gx ( ) x
5
6
8. A function and its inverse exhibit what type of symmetry
9. Follow the procedure:
a. sketch y x
2
2 3
b. limit the domain so that the function is 1-to-1
c. find the domain and range of the resulting sketch that has been limited
d. determine the inverse and sketch only the portion that coincides with (limited) original
e. find the domain and range of the inverse
f. sketch the axis of symmetry

10. Given: f ( x) x 3
and
a. f g 2
b. g f 12
c. f g x
d. g f 2
2
g( x) x 1, find the following:
11. Write the equation of the piecewise function.
y
x
(-6, -2)
(5, -3)
12. Write the equation of the piecewise function.
y
parabola w/ v.s. = 2
absolute value w/ v.c. = 2/3
(2, (4/3))
x
(-1, -2)
wing w/ h.c. = 2/3