Consider the following graph. f(x) (a) Identify the input value(s) where the slope of the function is zero. Oxa 8 (-∞, ∞) O none Identify the input value(s) where the slope of the function reaches a relative maximum value. Oxa 0 (-∞0,00) Onone O (-∞0,00) Onone a Identify the input value(s) where the slope of the function reaches a relative minimum value. Oxa x 0 (-00,00) O none (b) Indicate the input interval over which the slope of the function is positive. Oxa O (-∞, ∞) Onone Indicate the input interval over which the slope of the function is negative. Ox a

2. As shown in Figure 2, a camera is mounted at a point 3000 ft from the base of a rocket launching pad. The rocket rises vertically when launched, and the camera's elevation angle is continually adjusted to follow the bottom of the rocket. (a) Express the height x as a function of the elevation angle 0. (b) Find the domain of the function in part (a). Rocket 3000 ft Camera Figure 2

Editing Adobe Ac 4. ... 16) Find a function f that satisfies the following conditions; f'(x) = 2x-2 + 3x-1-1, f(1) = 0

Use the first derivative test and the second derivative test to determine where each function is increasing, decreasing, concave up, and concave down. 1 3 y = (4x-1) XER Select the correct choice below and, if necessary, fill in the answer box within your choice. A. The function is increasing on (Type your answer in interval notation. Use integers or fractions for any numbers in the expression. Simplify your answer.) OB. The function is not increasing on any interval.