Could you label and explain how to get each term? Thank you!
3. Find the equation of the tangent line to the graph of f(x)-1+e 0 4 Graph the following functio...
Graph the polynomial using calculus methods. F(x)= 7/3 x3 + 13/2 x2 -12x +3 List local extrema, intervals of concavity, and inflection point(s) if they exist. Local maximum: Local Minimum: Concave up: Concave down: Inflection point(s):
for the function f(x) = 3x-x^3, find: 1) Domain 2) Intercepts (if possible) 3) Intervals of increasing/decreasing and Relative max/min 4) Intervals of concavity and point of inflection 5) End behavior 6) Any vertical and horizontal asymptote 7) Use all the above to make a detailed graph of the function on a grid please write everything clearly and i'l rate you depending on the work, thanks.
just step 3 and 4
X-1 II. For f(x) find: x+3 Step 1: Analyze f(x) 4. Domain 5. X-intercepts and y-intercepts (use calculator to approximate value. Round to two decimal places) 6. vertical and horizontal asymptotes (if exist) Step 2 Analyze f'(x) 6. critical points 7. intervals on which f(x) is increasing 8. intervals on which f(x) is decreasing 9. minimum, if exist 10. maximum, if exist Step 3 Analyze f"(x) 4. concavity upward 5. concavity downward 6. point(s) of...
Question 10 * 1 point Find the slope of the tangent to the graph of f(x)=x² + 3x² + x at its point of inflection. Oo oo
Let. Fox , FO) = * F"(x) = 2XT9 1.Find x-and y-intercepts of the graph of f, if it has any. 2. Find vertical and horizontal asymptote(s) of f, if it has any. 3. Find the critical number(s), intervals(s) of increasing and decreasing and points of relative extrema off, if it has any. 4. Find intervals of concavity and the point(s) of inflection of f, if any Page 2 5. Sketch the graph of f, label all important points from...
show all work, no written work
f(x)= Vx? -2.Vx -3 Given: %3D a. Investigate the function by these criteria: 1) Domain; 2) Axis intersections; 3) Asymptotes (show the relevant limits) 4) Intervals of increase and decrease; 5) Points of relative extremum; 6) Intervals of concavity (upward or downward); 7) Inflection points. 8) Draw the function's graph. b. Find the equations of the tangent lines to the graph of the function at all extremum and inflection points, and add them to...
Find where the graph of f is increasing, decreasing, concave upward and concave downward then find any intercepts, relative extrema, points of inflection, and asymptote. Use this information to sketch the graph of f.f(x) = (2x-1)2(x-3) (x-7)
Find an equation of the line that is tangent to the graph of f and parallel to the given lineFunction: f(x) = x^3Line 3x-y+1 = 0._.; I know the derivative of the function is 3x^2 and I do have the answer in the back of my book just need the way to get it..
Find f'(x) and find the equation of the line tangent to the graph off at x = 1. f(x) = (2+4x)(5 - 4x) f'(x)=0 y= Find the x and y coordinates of all inflection points. f(x) = x3 + 18x? What is/are the inflection point(s)? Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. The inflection point(s) is/are (Type an ordered pair. Use a comma to separate answers as needed.)...
Consider the following function. (If an answer does not exist, enter UN 36 f(x) = x + х (a) Find the intervals where the function is increasing and where it is decreasing. (Enter your answer using interval notation.) increasing decreasing (b) Find the relative extrema of F. relative maximum (X,Y) - relative minimum (X,Y) - (c) Find the intervals where the graph of fis concave upward and where it is concave downward. (Enter your answer using interval notation.) concave upward...