# The domain of f(x)=(1)/(sqrt(x^2-6x-7)) is

(1, 7)

[-1, 7]

x > -1 or x < 7

***{x < -1}U{x > 7}

(-∞, -1]U[7, ∞)

2. In which of the following is y a function of x?

I. y^2=9-x^2

II. |y|=x

III. y=(sqrt(x^2))^3

I only

II only

III only

***I and III only

I, II and III

3. You would probably use calculus to determine the area for which of the following shapes?

***(infinity symbol)

(rectangle)

(triangle)

(arrow)

(plus sign)

4. If g(x)=3x−1 and f(x)=(sqrt(9-x^2)) , then which of the following will have a domain of: [−3, 1/3) ∪ (1/3, 3]?

(g + f)(x)

(f/g)(x)

(g − f)(x)

***g(f(x))

f(g(x))

5. Which of the following is always true of odd functions?

I. f(-x)=-f(x)

II.f(|x|) is even

III. |f(x)| is even

All of these are true.

None of these are true.

I only.

II only.

***I and III only.

6. If f(x)= 3/(x-3), then f^-1(x)=

(x-3)/3

(x+3)/3

***3/(x+3)

3/(x-3)

No inverse exists.

7. The function f(x) = −|x − b| intersects g(x) = 2(x − 4)^2 at exactly one point. The value of b is:

-5

***-4

5

4

Any real number

8. If a right circular cone must have a volume of 12 cubic meters, then a function that gives the possible radii as a function of the height is:

r=12/pi*h

r=+-(sqrt(36/pi*h))

***r=(sqrt(36/pi*h))

h=(sqrt(36/pi*r^2))

r=36/(pi*h)