# College Algebra

- For the points (-1, 1) and (2, 5), find the distance d between the points and the midpoint M of the line segment which connects them.

- Determine whether or not each of the following relations represents y as a function of x. Find the domain and range of those relations which are functions.
- (-1, 1) (0, 5) (1, 7) (-1, 6)
- y =

- Find an expression for a function that takes a real number f(x) and performs the following three steps in the order given:

(1) multiply by 2 (2) subtract 4 (3) take the square root

- Use the function f(x) = 3 – x
^{2}to find - f(-2)
**b.**f( )**c.**f(a + 2)

- Find the domain of f(x) =

- Use the pair of functions f(x) = and g(x) = to find (-1)

- Find and simplify the difference quotient for the function f(x) = x
^{2}+ 3.

- The cost, in dollars, to produce x widgets is C(x) = 3x + 32 , x
__>__0. The price-demand function, in dollars per widget, is p(x) = 30 – x. - Find and interpret R(10), where R(x) is the revenue function.
- Find and interpret P(10), where P(x) is the profit function.

**Sketch the graph of the given function. State the domain of the function,**

**identify any intercepts and test for symmetry.**

- f(x) =