1000- f(x) = 0.4x2 -36x + 1000 The function models the number of accidents, f(x), per...
(1 point) Consider the function f(x) = -22% + 36x? - 162x + 10. This function has two critical numbers A <B: А 3 and B 9 f"(A) 36 f"(B) = -36 Thus f(x) has a local -206 and a local 10 at A (type in MAX or MIN) at B (type in MAX or MIN).
The function f(x) = 1.1x-36x+261x +565 below models the number of discharges from the military, fx), of active-duty gay servicemembers under the "dont ask, don't tel policy x years after 1994. Complete parts a and b. a. Find the slope of the secant line from x, 0 to x 4. 1400- The slope of the secant line is (Round to the nearest whole number as needed.) (4,f(4 900- (0,1(0) 400- 10 Years after 1994 Enter your answer in the answer...
please help! Use the given function f to answer parts (a) through (f) below. f(x) = -5+ log2(x-1) (a) Find the domain of t. The domain offis (Type your answer in interval notation.) (b) Choose the correct graph off below. ОА. ОВ. 10 Q Oc. OD Ay o a 10- 10 o Q -10 10 10 10 2 -10 10 (c) From the graph, determine the range and any asymptotes off. The range of fis (Type your answer in interval...
Find any relative extrema of the function. List each extremum along with the x-value at which it occurs. Identify intervals over which the function is increasing and over which it is decreasing. Then sketch a graph of the function. f(x) = -13-7x-x? Describe any relative extrema. Select the correct choice below and, if necessary, fill in the answer box(es) to within your choice. O A. The relative minimum point(s) is/are and there are no relative maximum points. (Simplify your answer....
the function y=f(x)={ 0-4), 14x+16, x20 x<0 Consider 1. (a) Sketch the graph off. (3 pts.) (b) Verify that the function is continuous everywhere using the properties of the definition and possibly calculating the limit at a particular point. (2 pts.) (c) Show f'(x) is not continuous at x-0. (5 pts.) the function y=f(x)={ 0-4), 14x+16, x20 x
7. a. Determine whether the Mean Value Theorem applies to the function f(x) = 7 - x? on the interval (-1,2) b. If so, find the point(s) that are guaranteed to exist by the Mean Value Theorem. a. Choose the correct answer below. O A. Yes, because the function is continuous on the interval [-1.2] and differentiable on the interval (-1.2). O B. No, because the function is differentiable on the interval (-1.2), but is not continuous on the interval...
16 For the quadratic function f(x) = -x2 - 8x, answer parts (a) through (c) (a) Graph the quadratic function by determining whether its graph opens up or down and by finding its vertex, axis of symmetry, y-intercept, and X-intercepts, if any. Does the graph off open up or down? 12 8- up Odown 2015 12 118 12 16 What are the coordinates of the vertex? The vertex of the parabola is (Type an ordered pair. Use integers or fractions...
By inspecting a graph of y = sin x, determine whether the function y = sin x is increasing or decreasing on the interval The function y=sin x is on the interval By inspecting a graph of y = sin x, determine whether the graph is concave up or concave down on the interval (1,21). The graph is on the interval (1,21). Minimize f(x,y)= x2 + xy + y2 subject to y = 20 without using the method of Lagrange...
Your MUST SHOW SUFFICIENT WORK on each part of this problem. Consider the function f(x) = -2x3 + 18x2 - 48x – 2. (a) Find f' and f" f'(x) = F"(x) = (b) List the critical values of f. Separate your answers with"," (c) Determine which critical value represents a relative minimum. If there are no critical values, type "NONE" (d) Determine which critical value represents a relative maximum. If there are no critical values, type "NONE". (e) Find the...
Please tell me which options I need to select and what I have to type in. Thank you! 3-3x For the given rational function f(x)- x- find the following (A) Find the intercepts for the graph. (B) Determine the domain. (C) Find any vertical or horizontal asymptotes for the graph (D) Sketch any asymptotes as dashed lines. Then sketch a graph of y f(x) (A) Identify the x-intercepts, if there are any. Select the correct choice below and, if necessary,...