vertical shift =
0
vertical asymptote x+3=0
x intercept = (-2,0)
y intercept = (0 , log(3) ) = ( 0 , 0.477)
3. Consider the function y log to(+3). Determine the following: a) Vertical shift or phase shift...
Consider the following graph of an unknown rational function: -10 10 5 -10 Determine the following, if they exist: • Domain • x-int(s) • y-int • Horizontal Asymptote • Vertical Asymptote(s) • Slant Asymptote • Hole(s) Ei
Determine the L- and y-intercepts (if any), and vertical and horizontal asymptotes of the rational function r, given by 3.x2 + 18x + 24 r(x) = x2 – 3x + 2 and then use this information to sketch a graph of r. As part of your analysis, you should explicitly examine the behaviour of the function on both sides of each vertical asymptote, and evaluate the function at appropriate test points.
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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,...
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Problem Consider the logarithm function: a) What is the final x-coordinate of the key point? b) What is the final y-coordinate of the key point? c What are the x-intercepts (if any)? d) What are the y-intercepts (if any)? e) Where is the vertical asymptote? f Sketching the final graph. Do not use tick marks relative positioning only. The key point, all intercepts, and the vertical asymptote must be clearly shown and labeled.
Problem Consider the logarithm...
For the following function, find the hole, x-intercept, y-intercept, vertical asymptote, horizontal asymptote, and oblique asymptote. If something doesn't exist, enter NONE (in all caps). $(x) = 42 hole (,Y):( x-intercept (x, y):( , y-intercept (x, y):( vertical asymptote: vertical asymptote: horizontal asymptote: oblique asymptote:
e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one period starting with the phase shift. (No need to sketch the graph)
e the amplitude, period, phase shift, vertical shift. Find the coordinates of the first two points (xo, yo) and (x1,y) of the five key points for the trig function y-3 sin(x T) in one...
Consider the function below. x)= (x-4)2 (a) Find the vertical asymptote(s). (Enter your answers as a comma-separated list. If an a er does not exist, enter DNE.) answ x Find the horizontal asymptote(s). (Enter your an comma-separated list. If an answer does not exist, enter DNE.) s wers as a y (b) Find the interval(s) where the function is increasing. (Enter your answer using interval notation. If an answer does not exist, enter DNE.) Find the interval(s) where the function...
Find the horizontal and vertical asymptotes of the graph of the function. (You need not sketch the graph. Enter your answers as comma-separated lists. If an answer does not exist, enter DNE.) x? 9(x) - 9 horizontal asymptote y = vertical asymptote
(1 point) The graph below is a vertical and/or horizontal shift of y1/x (assume no reflections or compression/expansions have been applied) (a) The graph's equation can be written in the form f(x)+B x+ A for constants A and B. Based on the graph above, find the values for A and B and B= (b) Now take your formula from part (a) and write it as the ratio of two linear polynomials of the form, f(x) = x+ D for constants...
Write an equation for a rational function with: Vertical asymptotes at x = -3 and x = 5 x intercepts at x = -1 and x = 4 Horizontal asymptote at y=9 y = Preview