Math Quiz

In #1 and #2 select one of the following four sketches

to describe the ends behavior of the graph

of the given polynomial function

1. F(x) = x3 – 4x2 – x + 6

2. F(x) = – 0.10x4 + 0.01x2 + x2 + 5

3. Find the zeros of the polynomial function and construct a sign diagram for: f(x) = x3 + 5x2 – x – 5

4. Use the zeros, sign diagram, y-intercept and the leading-term test end behavior to make a rough sketch of the function. Show the work and then the sketch.

f(x) = x3 – x2 – 6x

5. Determine the vertical asymptotes of the graph of the function:

f(x) =

6. Determine the horizontal asymptote of the graph of the function:

f(x) =

7. Mach one of the given rational functions with the following graph:

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MATH107 Quiz-4

Functions:

A) f(x) =

B) f(x) =

C) f(x) =

D) f(x) =

8. Find composition of function (f ° g)(x) and (g ° f)(x) for f(x) = and g(x) = x

2 + 4 .

9. Solve rational inequality and write solutions in interval form:

< 2

Show steps.

10. Find inverse function f-1(x) for y = f(x) =

and calculate f-1(3).