# 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

#### 1- I remember in the 1990′s my company at the time paid two thirds of our insurance premium. Today, my wife’s employer pays zero. In addition, the ten percent deductible is now gone and

1- I remember in the 1990′s my company at...#### Identify how a business course you took has made you a better business leader.

Identify how a business course you took has mad...#### An office manager is concerned with declining productivity. Despite the fact that regularly monitors her clerical staff four times each day – at 9:00am, 11:00am, 1:00pm, and

An office manager is concerned with declining p...

### 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