Hello people, next week I have my first ever calculus exam, and I’m so confused, I’m having a hard time trying to understand everything, my professor gave us a review sheet, but I don’t know how to solve those exercises, could somebody please be that nice to give me a hand and explain me easily how to solve them.

This is the review sheet

1-For the given function f defined by the equation f(x) =3x^2+2x-4, find

A f(x+1)

B f (-x) c -f(x)

2-Given f(x) = -3x+1, find: F(x+h) - f(x)/h ( in case you don’t understand, / is divided by h)

3-Find the domain of each function

a) f(x) = x/x^2-3x-4

b- g(x) = x-2/x^3+x

c- H(x) √ 2 -6x

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)

B (f/g) (x)

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

a) its domain and range

B- the open intervals on which it is increasing, decreasing, or constant

C- The intercepts, if any

6 Determine (algebraically) Wheter the given function is even, odd or neither F(x) = 5x/1+x^2

7Find the average rate of change from 2 to x, for the given function f, be sure to simplify, F(x) = 3x-4x^2

8they give me the function f(x) = x+2/x-6 and ask me

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

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

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

-What is the domain of F?

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

_list the y intercept, if there is one, of the graph of f

8, find the function that is finally graphed after the following transformation are applied to the graph y =x^2

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

- Reflected about the x axis

= Shift down 3 units

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

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

b- F(x) =

10 the price p and the quantity x sold of a certain product obet the demand equation x = -20p+500, 0 >= p >=25

A Express the revenue R as the function of x

B what is the revenue if 20 units are sold?

Thank you so much.