Sketch the graph of the piecewise function q(X) using Xy-charts. x+ 3 if x < -2, x² – 1 if – 2 < x < 1, q(x): 4 - x if x > 1.

Q: Draw a graph of the function and use it to determine the asymptotes and the local maximum and…

A: Given: y = 2x2-ln x

Q: Draw the graph of f(x) and discuss its differentiability at x = 1

A: It is given that fx=x2x≤1xx&gt;1. Recall the fact that formula for derivative of a function f at a…

Q: b. Find the asymptote for the function f(x) = and sketch the function. %3D x2-1

A:

Q: Draw the graph of f(x) and discuss its differentiability at x = 1.

A: Given fx=x2,     x≤1x,   x&gt;1

Q: SKetch graph : f(x) (2-x if xI

A: For  x&lt;-1f(x)=2-xat x=-2   y=f(x)=4at x=-3   y=f(x)=5 Plot this line on graph

Q: Find all vertical and horizontal asymptotes of the graph of the function.f(x) = 4/x2

A: An asymptote is a line that the graph of the function approaches but never touches . The asymptote…

Q: Find the Vertical and Horizontal Asymptote for the function 3x - 1 f(x) = x + 1

A:

Q: Sketch the graph of the function f(x) = 3x + 4, its inverse, and the line of symmetry. All three…

A:

Q: 3x is The vertical asymptote of f(x) : %3D 2-Inx

A:

Q: Let: f(x)=x² +, f'(x) =2x-- 21 f"x)=2+ 1. Find x- and y- intercepts of the graph of f, if it has…

A:

Q: Sketch the graph of the function f (x) = 1- 3 on the axes below, stating the maximal %3D (x-2)?…

A:

Q: Consider the function x + 5x-6 S(x) = x2 +4x If it exists, give the equation of the horizontal…

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Sketch the graph of the piecewise function q(x) using Xy-charts. Зх + 3 ifx -1 1) Complete an…

A: The given function is qx=3x+3   if x≤-12x+4   if x&gt;-1. Let y=3x+3 on (-∞,-1] and y=2x+4 on -1,∞.…

Q: 4. Sketch the graph of f(x) = and give its domain, intercepts, and %3D +2x-3 asymptotes.

A:

Q: Find the vertical and horizontal asymptotes of  f(x) = x/(x2-1)

A: Given data: The expression for the given function is f(x)=x/(x2-1). The expression for the given…

Q: The function f ( x 22+2x–15 x²+9x+20 has a vertical asymptote at x =-5.

A: Vertical asymptote of a function is the line x=a such that the function is undefined at x=a. A line…

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

A:

Q: Consider the graph of the function h(x)=2x-1 over x+2. Write down the equation of the vertical…

A: Given function,  h(x) = (2x - 1)/(x + 2)  To find the vertical asymptotes.

Q: B/Find the oblique asymptote of the function f(x) -3x²+2 x-1

A: To find The slant asymptote of f(x)

Q: (1+ 3x X 1

A:

Q: Draw the graph of the function in a suitable viewing rectangle, and use it to find the domain, the…

A: y=ln(x2-x)

Q: Let f be the function defined by f(x) = (3x+8{6=4x) What is the horizontal asymptote to the (2x+1)…

A:

Q: Consider the graph of the function f(x)= x^2-16/x^3-5x^2+4x Where is the removable discontinuity?…

A: The given function is fx=x2-16x3-5x2+4x. The removable discontinuity points are those points, where…

Q: Sketch the graph of f(x) by hand and use your sketch to find the absolute and local maximum and…

A: Graph of f(x) is as follows :

Q: Find the vertical and horizontal asymptotes of the function f (x) = x /(4 − x) .

A:

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: find all asymptotes f(x)=2x/x-1

A:

Q: x3 - 3x2 + 3x + 1 (x) x2 - 3x + 3

A: we have to find

Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

A:

Q: Consider the function: f(x)= 4x^2-9/-x^2+x+6. Find the equation of the vertical asymptote(s)(if…

A:

Q: . Identify the vertical and horizontal asymptotes of the function: f(x) = %3D (x +1)² x2 -3x -4

A: According our guideline I solve only first. For second solution please resubmit next question.

Q: Sketch the graph of the piecewise-defined function. -4x, xs -3 16) f(x)= {-4 + Vx, -3 1

A: Given :                f(x) = -4x,  x ≤-3-4+x,  -3&lt;x≤1-x+3,  x&gt;1 For the first rule :…

Q: 3. Identify the vertical and horizontal asymptotes of the function: f(x) = %3D (x -3)² x2 -4x -5

A:

Q: Sketch the graph and all asymptotes of the function x² – x +1 y = x – 1

A: The asymptote of a function is a line on which the function is approaching but not touches. The…

Q: Prove that the only function whose graph is symmetric with respect to both the y-axis and the origin…

A:

Q: Determine the vertex form of the function f : R → R, f(x) = x2 − 4x + 6 and sketch its graph

A:

Q: Write a function f(x) so that the graph has a vertical asymptote at x=-3 and horizontal asymptote at…

A: let the function is fx=pxqx

Q: Draw a graph of f(x) by first placing the horizontal and vertical asymptotes, then 2x + 4 plotting…

A: Given: fx=2x+162x+4

Q: Consider the graph of the function f(x) =x^2-9/x^3-2x^2-15x Where is the removable discontinuity?…

A: Given the function, f(x)=x2-9x3-2x2-15x    ⋯⋯(1) Rewriting equation (1),…

Q: Use the graph of the function f to decide whether the value of the given quantity exists. 3 -4 -2…

A: According to company policy we are allowed to provide solution for only first 3 sub parts. If you…

Q: Find the asymptotes of the function f(x)=x2−2x−3/x

A:

Q: Prove that the graph of the function y = x² −3+1/x has at least two x-intercepts in (0,2).

A:

Q: Find the asymptotes of the function f(x)=x3 / x2+1.

A: Since the degree of numerator (3) is greater than the degree of denominator (2), therefore there is…

Q: Find the vertical and horizontal asymptotes of the function f(x) = x2/(4 – x)2.

A: The given function is fx=x24-x2. Note that the value of function approaches to larger and larger as…

Q: Find the asymptotes of the function f(x)=x/(x−1)2.

A:

Q: : Sketch the graph of f(x) = -xel/x %3D

A: