On a particular day, the linear function defined by

$$f(x)=-3.52 x+58.6$$

approximates the temperature in degrees Fahrenheit above the surface of Earth, where x is in thousands of feet and y is the temperature. (Source: Schwartz, Richard H., Mathematics and Global Survival, Ginn Press.)

(a) When the height is 5000 feet, what is the temperature? Solve analytically.

(b) When the temperature is $-15^{\circ} \mathrm{F}$, what is the height? Solve analytically.

(c) Explain how the answers in parts (a) and (b) can be supported graphically.

Sketch the graph of f by hand. Do not use a calculator.

f(x)= $x^2$

Using interval notation, write each set. Then graph it on a number line.

$$\{x \mid-1<x<4\}$$

Find the slope (if defined) of the line that passes through the given points.

$\left(\frac{2}{3}, 9\right)$ and $\left(\frac{1}{2}, 9\right)$

Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible.

Through $(1,6)$, perpendicular to $3 x+5 y=1$

Give the values of Xmin, Xmax, Ymin, and Ymax for each screen, given the values for Xscl and Yscl. Use the notation described in this section.

Xscl = 100, Yscl = 100

Use the intersection-of-graphs method to approximate each solution to the nearest hundredth.

$$2 \pi x+\sqrt[3]{4}=0.5 \pi x-\sqrt{28}$$

A water tank in the shape of an inverted cone has height 11 feet and radius 5.0 feet. Find the volume of the water in the tank when the water is 6 feet deep.

Using the variable x, write each interval using set-builder notation.

$$(-\infty,-1]$$

Determine the domain D and range R of each relation, and tell whether the relation is a function. Assume that a calculator graph extends indefinitely and a table includes only the points shown.

Find the equation of the line satisfying the given conditions, giving it in slope-intercept form if possible.

Through $(3,-2)$, parallel to $2 x-y=5$

Solve the formula for approximate annual interest rate for the variable indicaled.

$A=\frac{24 f}{B(p+1)}$ for B

The hypotenuse of a right triangle measures 61 inches, and one of its legs measures 11 inches. Find the length of the other leg.

Use the intersection-of-graphs method to approximate each solution to the nearest hundredth.

$$9(-0.84 x+\sqrt{17})=\sqrt{6} x-4$$