1001 Algebra Problems.PDF

• ELEMENTARY FUNCTIONS–

Which of the following statements is true?

a.fhas an inverse on the interval (0, 5).

b.fhas an inverse on the interval (–5, 2).

c.gdoes not have an inverse on the interval

(–5, –1).

d.All of the above statements are false.

y

y = g(x)

(5,–4)

(–5,4)

x

1

–5–4 –3–2–1 1 2 345

2

3

4

–4

–3

–2

–1

5

–5

y

y = f(x)

(2,–1)

(5,–2)

(2,2)

(–5,3)

x

1

–5–4 –3–2–1 (^12345)
2
3
4
–4
–3
–2
–1
5
–5
723.On what intervals is the graph of the following fourth degree polynomial function y= p(x) increasing?
a.(–3,0)∪(2,∞)
b.(–3,0)∪(3,∞)
c.(–∞,–3)∪(0,1)
d.(–∞,–3)∪(0,2)
y
y = p(x)
(2,–1)
x
1
–4 –3 –2 –1 1 2 34
2
3
4
–4
–3
–2
–1
724.Consider the functions fand g,both defined on [–5, 5], whose graphs are shown here.