1.Determine the domain of the function.

f(x)=square root 1-x(5 points)

All real numbers

x > 1

x 1

All real numbers except 1

2.

Determine the domain of the function.

f(x)=square root x+3/(x+8)(x-2)(5 points)

All real numbers except -8, -3, and 2

x 0

All real numbers

x-3, x2

3.

f(x) = 3x + 1; g(x) = 5x - 1

Find f/g. (5 points)

(f/g)(x) =5x-1/3x+1; domain {x|x -1/3}

(f/g)(x) =3x+1/5x-1; domain {x|x -1/3}

(f/g)(x) =5x-1/3x+1; domain {x|x 1/5}

(f/g)(x) =3x+1/5x-1; domain {x|x 1/5}

4.

Use your graphing calculator to graph f(x) = |x + 2| and determine where the function is increasing and decreasing. (5 points)

Increasing x < 2; Decreasing x > 2

Increasing x > -2; Decreasing x < -2

Increasing x < -2, Decreasing x > -2

Increasing x > 2; Decreasing x < 2

5.

Select true or false:

The function 4(x + 4)(x - 5)³> 0, when x < -4 or x > 5. (5 points)

True

False

6.

f(x) = 2x + 6, g(x) = 4x²

Find (f + g)(x). (5 points)

8x³+ 24x

2x+6/4x^2

4x²+ 2x + 6

-4x²+ 2x + 6

7.

f(x) =square root x+7; g(x) = 8x - 11

Find f(g(x)). (5 points)

f(g(x)) = 2 square root 2x+1

f(g(x)) = 8square root x+7-11

f(g(x)) = 8square root x-4

f(g(x)) = 2square root 2x-1

8.

Describe how the graph of y = x²can be transformed to the graph of the given equation:

y = x²- 20 (5 points)

Shift the graph of y = x²left 20 units.

Shift the graph of y = x²up 20 units.

Shift the graph of y = x²down 20 units.

Shift the graph of y = x²right 20 units.

9.

Is the function of f(x) = |sin(x)| even, odd, or neither? (5 points)

Even

Odd

Neither

10.

State the domain of the rational function.

f(x) =13/2-x(5 points)

All real numbers except 13

All real numbers except -13 and 13

All real numbers except -2 and 2

All real numbers except 2