Math 161 Review for Exam 4
1. Use the graph of the function y = f(x) to draw the graph of its inverse if possible.
(a) (b) (c)
2. Find the inverse function and its domain if possible.
(a) {(2, 4), (3, 5), (3, 7)} (b)
4,3,6,2,9,1
3. Find the inverse function and its domain if possible.
(a)
2
1
x
xf
(b)
xxf
(c)
9/325 xxc
(d)
2
xxf
(e)
xxxf
(f)
0
0
2
xifx
xifx
xf
(g)
xxf
(h)
1
3
xxf
(i)
23
3xxxf
4. Find a formula for the quadratic function satisfying:
(a) vertex (3, 2), point (1, 6) (b) vertex (1, 2), intercept (0, 3)
5. Identify the vertex, and intercepts of the following quadratic functions.
(a)
94
2
xxxf
(b)
2
9xxf
(c)
156
2
xxxf
6. Find the zeros of the following polynomials and indicate the multiplicity.
(a)
23
4xxxf
(b)
3613
24
xxxf
(c)
1243
23
xxxxf
(d)
42
2
xxxf
(e)
82
2
xxxf
(f)
12
2
xxxf
7. Sketch the graphs of the above polynomials.
8. Divide using long division.
(a)
12513136
23
xxxx
(b)
231031196
23
xxxx
9. Divide using synthetic division.
(a)
41131142
23
xxxx
(b)
385
3
xxx
10. Re-do problem 9 above using long division.
