Sketch the graph of the following function: f(x)=8x^2-x^4. State the asymptotes, whether or not a concave up and concave down exists, and an inflection point if there is one.

Q: Find the vertical asymptotes (if any) of the graph of the function f(x) = csc x

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Q: Sketch the graph indicating maxima, minima, asy 4-x³ function: f(x) = x3

A: Given: f(x)=4-x3x3

Q: The graph of the function f (x) = arcsin( (x – 4)) +1, is best pictured by:

A: f(x)=sin-112(x-4)+1

Q: Find the horizontal asymptotes of the function by computing the limits at infinity.

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Q: What is the process for determining the horizontal asymptote of a function from its equation?

A: The method used to find the horizontal asymptote changes depending on how the degrees of the…

Q: Sketch the graph of a function f with a single horizontal asymptote y = 3.

A: The horizontal asymptote of the function is y=3. Since the horizontal asymptote is y=3, therefore…

Q: The graph of the function f (x) arcsin ((x + 4)) +1, is best pictured by:

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Q: Create a function that has a graph with the following characteristics: y - axis as vertical…

A: To create a function with the characteristics: y-axis as vertical asymptote. An oblique asymptote at…

Q: What does it mean for the graph of a function to have a horizontal asymptote?

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Q: Sketch a graph of the function by first making a table of values. H(x) = |x + 1|

A: Hx=x+1 When x=0, H0=0+1=1 When x=1, H1=1+1=2 When x=2, H2=2+1=3 When x=-1, H-1=-1+1=0 When x=-2,…

Q: Use a graphing utility to graph the function and identify any horizontal asymptote.

A: Graphing utility helps to find the solution to any problem and graph it. Keys in the Graphing…

Q: Find the horizontal asymptotes of the function by computing the limits at infinity.

A: Asymptote is a line along which the function tends to infinity or minus infinity. Horizontal…

Q: Give an example of function with an oblique asymptote of 2x-1.

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Q: What is the horizontal asymptote of the function n(X) x +1

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Q: Use everyday language to describe the behavior of a graph near its vertical asymptote if f(x) → * as…

A: Given: f(x)→∞ as x→-2- and f(x)→-∞ as x→-2+ To use: everyday language to describe the behaviour of a…

Q: find the slant asymptote of the function  f(x)= 48x^2+8x/2x+1 y=

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Q: what is the graph of the following function (2x+1)(x+2)/(x-1)(x-3)?  where are it's vertical and…

A: The objective is to draw the graph and find vertical and horizontal assymptote.

Q: Use everyday language to describe the behavior of a graph near its vertical asymptote if f(x) → ∞ as…

A: fx→∞ as x→-2- and fx→-∞ as x→-2+

Q: List the points in the graph at which the function is not differentiable.

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Q: How can you determine from the equation of a function if it has a vertical as- ymptote or a hole…

A: We have to explain how to determine the vertical asymptote and hole of the given function.

Q: Sketch the graph of a function f that has both y = -1 and y = 5 as horizontal asymptotes.

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Q: Find the oblique asymptote of the function f(x)=(3x²-4)/(x+3)

A: The equation of the function is fx=3x2-4x+3

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: The function is y=lnxx. The vertical asymptote occurs at the points where the function becomes…

Q: Can the graph of a function cross a horizontal asymptote? Explain.

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Q: Write down a function that has vertical asymptotes at the points x=1, x=2, and x=3, and a horizontal…

A: Given The function has vertical asymptotes at the points x=1, x=2, and x=3, and a horizontal…

Q: Find any asymptotes and relative extrema that may exist and use a graphing utility to graph the…

A: The relative extrema is obtained when the first derivative of the function y=lnxx equals zero. The…

Q: How can we analyze the graphs of functions having horizontal or vertical asymptotes?

A: Check for when we have vertical and horizontal asymptote

Q: Create a function f(x) in standard form with an oblique asymptote at g(x) = - x +4, hole at x = 2, a…

A: Use the following definitions, to obtain the required result. The vertical asymptote occurs when…

Q: Sketch the graph of a function by a) finding all vertical and horizontal asymptotes of the function,…

A: Note: In given problems, there are subparts and many questions, I will answer the 1st question and…

Q: Construct the graph of the following function Y = 1 / x + 3 indicating its asymptotes with color

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Q: Sketch a graph of the function : f(x) = ( x - 1) / ( x^2 -5x + 4 ) , showing all asymptotes,…

A: In this question we will use basic of calculus i.e concept of sketching of graph. We will simply…

Q: Sketch a graph of the piecewise defined function.

A: Given function, f(x)=1         if  x≤1x+1    if  x>1

Q: Plot the graph of f (x) = x/(4 − x) in a viewing rectangle that clearly displays the vertical and…

A: Given, f(x) = x/(4 − x) 1. Vertical asymptote. Since the denominator of the fraction is (4 − x),…

Q: Sketch a graph of the function by first making a table of values. r(x) = 1 - x4

A: To sketch the graph

Q: Determine whether the graph of the function has a vertical asymptote, horizontal asymptote, a…

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Q: Sketch a rough graph of the function without using acalculator.   y=   5x - 1

A: We have to Sketch a rough graph of the function without using a calculator.           y=   5x - 1

Q: The graph of f has a point of inflection at x=5 but this is also a vertical asymptote. Can the graph…

A: For x = 5 to be the point of inflection the concavity must change. This can be done only in these…

Q: Identify any horizontal asymptotes for the function   y=160-17x. If the function has no horizontal…

A: A horizontal asymptote of a function is a horizontal line which the graph of the function approaches…

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary.

A: The given function h(x) is an exponential function with the constant multiple. Substitution of some…

Q: Sketch a graph of the function by first making a table of values. f(x) = x2 - 4

A: A graph of a function in a cartesian coordinate system, is a set of ordered pairs of points (x,y)…

Q: show the graph of the given functions

A: Here it's told to show the graph of given functions. We will plot the graph of both the functions…

Q: What are the vertical and horizontal asymptotes for the function f(x)= 6x^2+x/x+1

A: To find the vertical and horizontal asymptotes for the function f(x)= 6x^2+x/x+1

Q: How can you determine from the equation of a function if it has a vertical asymptote or a hole…

A: First of all we rearrange the given equation of function as rational function. Then factor the…

Q: Sketch a rough graph of the function without using acalculator.   y=   -e-x

A: Given: y=-e-x

Q: Find the x and y intercepts ,the domain,the vertical and horizontal asymptotes and then sketch the…

A: To find the x-intercepts we plug y=0 and solve for x So, x-intercept is = (-1,0) For y-intercept,…

Q: Find the horizontal asymptotes of and vertical the function.

A: The given function is: y=x4-3x2-10x2-10x+26 To find the Horizontal asymptote, just equate the…

Q: Sketch the graph of the function f(x)= 3x-5 x axes and the asymptotes (if any). State its domain.…

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