Whoa. Ok... I can only help you with so much of this:

1- For the given function f defined by the equation , find

A)

B) I don't understand your notation, what's the c? I'm assuming it's a typo for an x (multiplication)

Expand brackets and group like terms, I trust that you know how to do that. Otherwise, you're in big trouble for this exam.

2- Given f(x) = -3x+1, find:

So

3- Find the domain of each function

a)

The only restriction is that

That is: , is the domain restriction

b)

Once again the only restriction is that

That is: , as anyway

c)

The only restriction is you can square root a negative number so , therefore

4- Given f(x) = x+1/x-1 and g(x) = 1/x, find the following and state the domain of the functions, be sure to simplify

A (f-g)(x) -Sorry... I don't think I've ever seen notation like that...

B (f/g) (x) -Sorry... I don't think I've ever seen notation like that...

5- In this point they give me a graph, I don’t know how to put graphs on here, so I’d say its points, (-3,2) (-1,2) ( 0,½) (3,1) (½,0) (1,-1) and (2,-1) and having this graph as model they ask me, to find

The points make no sense unless you put it up as a graph

6- Determine (algebraically) Wheter the given function is even, odd or neither

For a function to be odd F(x) = -F(-x), for a function to be even, F(x) = F(-x). And if it's neither cases, then it's neither.

, therefore this function is odd.

7- Find the average rate of change from 2 to x, for the given function f, be sure to simplify,

At x = 2, f(x) = -10

My best guess at this question (cos I have no idea what the question is asking, unless they're asking for an integral?) would be...

8- They give me the function [tex]f(x) = \frac{x + 2}{x - 6} and ask me

-Is the point (3,14) on the graph of f?

Is ? And the answer is no, so no, (3, 14) doesn't lie on the graph f.

-if x = 4, what’s f(x)?f(4) = -3; what point on the graph of F(x)?Therefore the point is (4, -3)

-if x = 2, what’s f(x)?f(2) = -1what point on the graph of F(x)?Therefore the point is (2, -1)

-What is the domain of F?

Domaing is restricted by (denominator of a fraction cannot be 0, therefore

- List the x-intercepts, if any, of the graph of F.

x-intercept occurs when f(x) = 0 and it occurs when x = -2, so (-2, 0) is the x-intercept

- List the y intercept, if there is one, of the graph of f

y-intercept occurs when x = 0, and gives f(x) = -1/3, therefore (0, -1/3) is the y-intercept

9- Find the function that is finally graphed after the following transformation are applied to the graph

- Shifted upward by a factor of 4 and to the right by a factor of 2

To shift a graph f(x) up by a factors, it's f(x) + a, likewise with downwards, it's f(x) - a, to shift the graph left a factors, its f(x + a), and to shift to the right, it's f(x -a).

- Reflected about the x axis

Replacing f(x) with -f(x)... so when reflected about the x-axis will become

- Shift down 3 units

10- Graph the given function using the techniques of shifting. Label at least three points

a) F(x) = |x+1| - 2

Graph G(x) = |x| which is just a V shape, origin at (0, 0), then shift this to the left a space and own two spaces (so move the origina to (-1, -2))

b)You didn't type a function...

11- the price p and the quantity x sold of a certain product obey the demand equation

I haven't touched on Revenues and stuff in High School so I'm afraid I can't help you here, sorry. I could only guess a way of doing it... So I'll leave it for someone who knows.

A) Express the revenue R as the function of x

B) what is the revenue if 20 units are sold?