Find the domain of the function. (Enter your answers as a comma-separated list.) x + 2 f(x) = x2 - 4 The domain of f(x) is all real numbers except x = Find the vertical asymptotes and horizontal asymptotes of the function. (Enter your answers as comma-separated lists of equations.) vertical asymptote(s) horizontal asymptote(s)

Find the domain of the function. (Enter your answers as a comma-separated list.) x + 2 f(x) = x2 - 4 The domain of f(x) is all real numbers except x = Find the vertical asymptotes and horizontal asymptotes of the function. (Enter your answers as comma-separated lists of equations.) vertical asymptote(s) horizontal asymptote(s)

College Algebra (MindTap Course List)

12th Edition

ISBN:9781305652231

Author:R. David Gustafson, Jeff Hughes

Publisher:R. David Gustafson, Jeff Hughes

Chapter4: Polynomial And Rational Functions

Section4.6: Rational Functions

Problem 109E: Determine if the statement is true or false. If the statement is false, then correct it and make it...

See similar textbooks

Similar questions

Use Descartes’ Rule to determine the possible number of positive and negative solutions. Then graph to confirm whichof those possibilities is the actual combination. 51. f(x)=2x3+37x2+200x+300
(a) Give the general form of polynomial function P of degree n. (b) What does it mean to say that c is a zero of P? Give two equivalent conditions that tell us that c is a zero of P.
The graph of a polynomial function can have infinitely many vertical asymptotes. (true/false, justify your answer)
Minimizing cost A company that produces and sells digital cameras has determined that the total weekly cost C(x), in dollars of producing x digital cameras is given by the function C(x)=1.5x2144x+5856. Determine the production level that minimizes the weekly cost for producing the digital cameras and find that weekly minimum cost.
Determine if the statement is true or false. If the statement is false, then correct it and make it true. The graph of a rational function will never cross a horizontal asymptote.
Height of a football A football is thrown by a quarterback from the 10-yard line and caught by the wide receiver on the 50-yard line. The footballs path on this interval can be modeled by the quadratic function f(x)=120x2+3x19, where x is the horizontal distance in yards from the goal line and f(x) is the height of the football in feet. Find the maximum height reached by the football.
(a) What is the degree of a quadratic function f?What is the standard form of a quadratic function? How do you put a quadratic function into standard form? (b) The quadratic function f(x)=a(xh)2+k is in standard form. The graph of f is a parabola. What is the vertex of the graph of f? How do you determine whether f(h) = k is a minimum or a maximum value? (c) Express f(x)=x2+4x+1 in standard form. Find the vertex of the graph and the maximum or minimum value of f.
Local extrema these exercises involve local maximaand minima of polynomial functions. Graph the function P(x)=(x2)(x4)(x5) and determine how many local extrema it has. If a < b < c, explain why the function P(x)=(xa)(xb)(xc) must have two local extrema-