# Given the following quadratic equation, Y=x^2+6x+5, find

1. Given the following quadratic equation, **Y=x^2+6x+5, **find

a. the vertex

b. the axis of symmetry

c. the intercepts

d. the domain

e. the range

f. the interval where the function is increasing, and

g. the interval where the function is decreasing

h. Graph the function.

SHOW ALL WORK.

2. Given the following polynomial, **f(x)=(x+5)(x-3)(x+3),**find

a. the zeros and the multiplicity of each

b. where the graph crosses or touches the x‐axis

c. number of turning points

d. end behavior

SHOW ALL WORK.

3. Using the 7 steps outlined in Section 4.3 of your book, analyze the graph of the following function:

R(x) = x+1/x

SHOW ALL WORK.

4. Solve the following inequality. Write your solution in interval notation.

X^3 + 81x > 0

SHOW ALL WORK.

5. Find the domain of the composite function* f* °*g*

F(x) = x^2 + 5 ; g(x) = √x-8

6. Find the inverse of the following function. Find the domain, range, and asymptotes of each function.

Graph both functions on the same coordinate plane.

F(x) = 12e^-x

### Sponsored

### Recently Posted

#### Metaphors and other types of ambiguous language are useful when:

McShane, S. L., & Von Glinow, M. A. (2008)....#### Play the role of a consultant in presenting a case to a medium to large technology firm. A representative from the company, Sonic Technologies has contacted you and

Play the role of a consultant in presenting a c...#### The Self-managing Team Organizational Paradigm (SMTOP) is a leadership and organizational structure that embraces emotional intelligence and individuals’ work preferences. The model was developed with a combination of

The Self-managing Team Organizational Paradigm ...

### Categories

- Anatomy
- Art
- Biology
- Business
- Chemistry
- Communications
- Criminal Justice
- Economics
- Education
- English
- Finance
- Gender Studies
- General
- General Questions
- Geography
- Geology
- Health Care
- History
- Languages
- Law
- Maths
- Philosophy
- Political Science
- Politics
- Psychology
- Religion
- Religious Studies
- Sociology
- Uncategorized