9. Analyze and sketch the graph of the function f(x)-v9-x. 9. Analyze and sketch the graph of the function f(x)-v9-x.
Analyze and sketch the graph of each function. Local intercepts, relative extrema, points of inflection and asymptotes. State for each problem the following: domain, range, intercepts, symmetry, asymptotes (horizontal and/or vertical asymptotes), critical numbers, points of inflection. a. \(Y=x^{2}+1 / x^{2}-9\)b. \(Y=x^{2} / x^{2}+3\)c. \(\mathrm{Y}=\frac{1}{3}\left(x^{2}-3 x+2\right)\)d. \(\mathrm{F}(\mathrm{x})=\frac{1}{x e^{x}}\)e. \(F(x)=x^{5}-5 x\)
Sketch the graph of the function f(x) - (2-6)(x+3) 9(2+2) A sketch need not be exact or to scale! A sketch does need to show important points and features of the graph: intervals on which the function is increasing/decreasing, concavity, points at which local and absolute max, and min. values occur, inflection points, intercepts, vertical and horizontal asymptotes, and any other features particular to the particular function,
9. [4 pts] Sketch a graph of a function that satisfies the following conditions lim f(x) = -0, lim f(x) = 0 and lim f(x) = 2. Answer the following questions based on your graph a. Find all the vertical asymptotes of f(x) if it exists. b. Find the horizontal asymptotes of f(x) if it exists.
Analyze the key characteristics of the following quadratic function. f(x)=x2-9 Based on the graph, which statement is not true? 0 A. The y-intercept is the same point as the vertex O B. The graph increases in the interval 0 to oo ° C. The graph is always positive. O D. The zeros of this function are at 3 and -3
use the graph of the function to sketch the graph of its inverse function y=f^-1(x) 1 2 3 4
Sketch a graph of the piecewise defined function. sz if x <3 f(x) = x 1 if x 2 3
Sketch the graph of the quadratic function. Identify the vertex and axis of symmetry. 12) f(x) = (x - 3)2 + 6 03 Determine the coordinate of the vertex of the following quadratic function and indicate whether opens UP or DOWN. 13) f(x) = -x2 + 4x - 9
Analyze the polynomial function f(x)= 3x(x2 - 9) (x + 4) using parts (a) through (e). (a) Determine the end behavior of the graph of the function. The graph off behaves like y = for large values of [xl.
Sketch the graph of the exponential function. f(x) = 3X Complete the table of coordinates. x -2 -1 0 1 | 2 | y 0.111 0.333 1 3 9 (Simplify your answers. Type integers or fractions.)
Sketch the graph of a function f having the given characteristics. f(3) = f(9) = 0 f'(6) = f'(8) = 0 f'(x) > 0 for x < 6 f'(x) > 0 for 6 < x < 8 f'(x) < 0 for x > 8 f"(x) < 0 for x < 6 or x > 7 f"(x) > 0 for 6 < x < 7