Find the vertical asymptotes of the function. x2 + 2 y = 7x 2x2 X = (smaller value) X = (larger value) Confirm your answer by graphing the function. (A graphing calculator is recommended.) y y 10} 10 5 5 X - 10 -5 5 10 - 10 -5 5 10 -5 -5 - 10F - 10F y y 10 10- 5 X - 10 -5 5 10 - 10 5 10 -5 -5 - 10F – 10F
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- Sketch the graph of f(x)=-3x^3 -4x^2 +6x -2 by following the steps in sketching the graph of a function discussed in your module. Include in our solution the summary in table form. Label your graph(i.e. POl, relative maximum and minimum, intercepts).A quadratic function is given f (x) = x^2 + 6x + 8. In standard form f (x) = (x+3)^2 - 1. If the vertex is (-3,-1) and the x-intercepts are (-4,0) and (-2,0) and the y-intercept is (0,8), how do write the domain and range in interval notation seperately? Please graph if you need to.Calculate the domain, intercepts, horizontal and vertical asymptotes with limits, intervals of increasing and decreasing and relative extreme, intervals of convacity and points of inflection, then sketch the graph. (Show all work and don’t use graphing calculator for this question).
- Sketch the function, that is attached, on the graph (also attached) and label the intercepts, asymptotes, critical point(s), point of inflection.The vertical asymptote of which function is equidistant from the vertical asymptotes of the other two functions?Determine the equation of the function with zeros at ± 1 and -2, and a y-intercept of -6. Then sketch the function. Describe the key characteristics.
- find the local maxima, local minima and saddle points of the function. If you have software that allows it, draw the graph of the function by choosing a domain and point of view that reveal all the important characteristics of the function.We have to graph the function f(x)=xln(x2). f(x)=xlnx2. Also, label all absolute/local max/mins, inflection points, intercepts, and describe the end behavior of this function.Sketch the graph for this function. Show all steps for intercepts, assymptotes, critical numbers, extra points, potential inflection points, intervals of increasing/decreasing and intervals of concavity, etc.
- Find a function that has vertical asymptotes at x=4 and x=-2. X-intercepts at (1,0) and (-1,0) and a y-intercept of (0,2) please show solving steps.A right triangle is formed in the first quadrant by the x- and y-axes and a line through the point (3, 2). Write the length L of the hypotenuse as a function of x.write an equation for a rational function with the given characteristics vertical asymptotes at x=-2 and x=4, x-intercepts at (-3,0) and (1,0), horizontal asymptote at y=-2 y=