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

6.

f(x) = 4x + 7, g(x) = 3x^{2}

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

7.

f(x) = ; g(x) = 8x – 11

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

8.

Describe how the graph of y = x^{2} can be transformed to the graph of the given equation:

y = (x – 20)^{2} (5 points)

9.

Is the function of f(x) = cos(4x) + even, odd or neither? (5 points)

10.

State the domain of the rational function.

f(x) = (5 points)

SHORT ANSWER: SHOW ALL WORK

1.

State the domain and range for the function f(x) = x^{2} + 3.

2.

Show that the function f(x) = x^{3} + . is even, odd, or neither.

3.

Determine the equation of a line, in slope-intercept form, that passes through the points (9, -2) and (12, 0).

4.

Write the equation of the function g(x) if g(x) = f(x – 2) +4 and f(x) = x^{3} + 2.

5.

Identify the maximum and minimum values of the function y = 3 cos x in the interval [-2π, 2π]. Use your understanding of transformations, not your graphing calculator.

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