# multiple choice and short answer math questions 1

3.

f(x) = 3x + 1; g(x) = 5x – 1

Find f/g. (5 points)

 (f/g)(x) = ; domain {x|x ≠ – } (f/g)(x) = ; domain {x|x ≠ – } (f/g)(x) = ; domain {x|x ≠ } (f/g)(x) = ; domain {x|x ≠ }

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

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

 3x2 + 4x + 7 -3x2 + 4x + 7 12x3 + 21x

7.

f(x) = ; g(x) = 8x – 11

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

 f(g(x)) = 2 f(g(x)) = 8 – 11 f(g(x)) = 8 f(g(x)) = 2 8.

Describe how the graph of y = x2 can be transformed to the graph of the given equation:

y = (x – 20)2 (5 points)

 Shift the graph of y = x2 left 20 units. Shift the graph of y = x2 up 20 units. Shift the graph of y = x2 down 20 units. Shift the graph of y = x2 right 20 units.

9.

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

 Even Odd Neither

10.

State the domain of the rational function.

f(x) = (5 points)

 All real numbers except -10 and 10 All real numbers except 13 All real numbers except 10 All real numbers except -13 and 13

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 + . 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.

## SOLUTION! 