A balloon carrying a transmitter ascends vertically from a point 2000 feet from the receiving station. Let d be the distance between the balloon and the receiving station. Write the height h of the balloon as a function of d. What is the domain of this function?

Geometry A rectangle is bounded by the $x$-axis and the semicircle $y=\sqrt{36-x^2}$ (see figure). Write the area $A$ of the rectangle as a function of $x$, and graphically determine the domain of the function.

Simplify the expression. $16^{1 / 2}$

Choose the best answer. What percentage of the world's population lives in developing countries? (a) 34 percent (b) 50 percent (c) 66 percent (d) 83 percent

Determine whether the equation represents $y$ as a function of $x$.

$$y-4 x^2=36$$

Determine whether the equation represents y as a function of x.

$$y = \sqrt{x^{2}+4}$$

Determine whether the equation represents y as a function of x. x$^{2}$ + y = 5

Which sets of ordered pairs represent functions from A to B-? Explain.

$A=\{0,1,2,3\}$ and $B=\{-2,-1,0,1,2\}$

$$\{(0,0),(1,0),(2,0),(3,0)\}$$

Fill in the blanks. In calculus, one of the basic definitions is that of a ________ ________, given by f(x+h)-f(x)/h, h ≠ 0.

Fill in the blanks. For an equation that represents y as a function of x, the set of all values taken on by the ________ variable x is the domain, and the set of all values taken on by the ________ variable y is the range.

Identify any relationships that exist among the lines and then use a graphing utility to graph the three equations in the same viewing window. Adjust the viewing window so that the slope appears visually correct-that is, so that parallel lines appear parallel and perpendicular lines appear to intersect at right angles. y=-x+3

The cost С of producing n computer laptop bags is given by C = 1.25n + 15750, 0 < n. Explain what the C-intercept and the slope measure.

Determine whether the equation $x^{2}+y=3$ represents y as a function of x.

Solve the logarithmic equation algebraically. Approximate the result to three decimal places. $\log _{10} x+\log _{10}(x+1)=\log _{10}(x+3)$