**4.** The volume of a sphere is a function of its radius, \(V = \frac{4}{3} \pi r^3\). Evaluate the function for the volume of a volleyball with a radius of 10.5 cm. (Recall that \(\pi\) is a number. For this exercise, you can estimate the number \(\pi \approx 3.14\) or you can make a more accurate calculation and use the \(\pi\) button on a calculator. Also recall that in the equation above, \(r\) represents the number for the radius of a circle.) **5.** Find the domain and range of the following graphs. You can describe the domain and range in words or use mathematical notation. - **Graph 1 Description:** - The graph is a curve that crosses the y-axis at y = -4 and then moves upward, crossing the x-axis twice, around x = -3 and x = 1, then peaks and descends again. - **Domain:** - **Range:** - **Graph 2 Description:** - The graph shows a curve starting high, moving downward, and then rising sharply again, crossing the x-axis near x = -2. It has a peak near x = 0 before descending again. - **Domain:** - **Range:** - **Graph 3 Description:** - This graph is a straight line with a negative slope passing through the origin (0,0) and extending from x = -2 to x = 2. - **Domain:** - **Range:** ### Evaluating Functions and Identifying Domain and Range Assignment #### 1. Evaluate Each Function **Instructions:** Show your work. Write each input and output as an ordered pair. - **Function:** \( F(x) = 2x - 15 \) for the domain \(\{-1, 0, 4\}\) - **Function:** \( P(x) = \frac{2}{5}x + 1 \) for the domain \(\{0, 10\}\) #### 2. Create a Function Rule - **Task:** Make the ordered pair \((-1, 7)\) true. #### 3. Temperature Conversion The relation between degrees Fahrenheit \( F \) and degrees Celsius \( C \) is described by the function \( F = \frac{9}{5}C + 32 \). **Instructions:** In the following ordered pairs, the first element is degrees Celsius, and the second element is its equivalent in degrees Fahrenheit. Find the unknown measure in each ordered pair. (You can write your numbers as fractions or as a decimal rounded to the nearest tenth, i.e., one decimal place.) - **A.** \((42, \, \, \, )\) - **B.** \((-10, \, \, \, )\) - **C.** \(( \, \, \, , 20)\)