. Use the pair of the pair of functions to find f (g (x)) and g (f (x)) . Simplify the answer

f (x) = sqrt x+2, g (x) = x^2+5

f (g (x)). =

g (f (x)). =

show how you arrive at the answer

2. The graph of the function f (x) = i/x +5 - 13 is a transformation of the graph of the function of g (x) =1/x by

A vertical shift - of - units

A horizontal shift - of - units

show how you arrive to the answer

3. Analyze the graph function f(x) = 4 [x+7]+9 , the graph of g(x) = [x] has been

shifted - by - units

shifted - by - units

Vertically stretched by a factor of -

what is the graph of the function, draw it.

show how get the answer

4. Solve the equation [2x + 7] -2 =10

x=

show how you got the answer

5 A town population increase at a constant rate . In 2010 the population was 56,000. By 2012 the population has increased to 73,000. If this trend continue, predict the population in 2016.

The population will be - in 2016

show how you got the answer.

6. Determine whether the given ordered pair is a solution to the systems of equations.

6x - 2y = 24

-3x + 3y = 18 and (9,15)

how you arrive at the answer.

7. find the vertex and write the quadratic function in vertex form.

f (x) = x^2 - 10x+ 106

Vertex - point (a,b)

Enter the coordinates of the vertex to write f (x) in vertex form:

f (x) =

what best represent the graph

how you got the answer

8. Give the degree and leading coefficients of the following polynomial function.

f (x) = x^3 (3 - 7x^2 - 4x^2)

Degree =

Leading coefficients =

how you arrive at the answer

9. Solve the following polynomial equation by grouping and factoring.

9y^3 - 16y =0

y=

show answer

10. Find the intercepts and the vertical and horizontal asymptotoes, and then use them to sketch a graph of the function. f (x) = x+2/X^2-9.

Enter the point as point(a,b)

The x intercept is -

The y intercept is -

11. solve

sqrt x-3 = x-3