multiple choice and short answer math questions 1

3.

f(x) = 3x + 1; g(x) = 5x – 1

Find f/g. (5 points)

5.

Select true or false:

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


6.

f(x) = 4x + 7, g(x) = 3x2

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



7.

f(x) = Square root of quantity x plus seven. ; g(x) = 8x – 11

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



8.

Describe how the graph of y = x2 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) + 3 over x even, odd or neither? (5 points)



10.

State the domain of the rational function.

f(x) = thirteen divided by quantity ten minus x. (5 points)

SHORT ANSWER: SHOW ALL WORK

1.

State the domain and range for the function f(x) = x2 + 3.

2.

Show that the function f(x) = x3 + five over x . 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) = x3 + 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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