Investigate the family of curves  f(x) = In (x2 +c). Whathappens to the inflection points and asymptotes as cchanges? Graph several members of the family to illustratewhat you discover.

Q: 2. A function is said to be if, graphically speaking, you can trace the entire curve without any…

A:

Q: use the concepts of translation and/or reflection to describe how the second curve can be obtained…

A: Consider the given curve. Let fx=x3   Table:  x -3 -2 -1 0 1 2 3 fx -27 -8 -1 0 1 8 27…

Q: 8. Find the horizontal and vertical asymptotes of each curve. If you have a graphing device, check…

A:

Q: Find an expression for the function whose graph is thegiven curve.   The top half of the circle x2+…

A: The given expression is Solve for y Subtract x2 from both sides

Q: 1. Sketch the graph of f(x) = x + ÷. Clearly indicate the location of all axis intercepts,…

A:

Q: For what numbers x, - 2π ≤ x ≤ 2π, does the graph of y = sec x have vertical asymptotes?

A: Given that, y=secx   We have to find Vertical Asymptotes

Q: Sketch the following graph, identifying all asymptotes and intercepts: 1 a) f(x)= x2 – 4 x-4 b)…

A: We can answer both the question as below for the required answers.

Q: 14) Determine all the asymptotes to each of the 3x following curves: (a) y= x-2 1 (c) y (x-(x+3) (b)…

A: given:a) y=3xx-2b) y=x-12xx+3c)  y=1x2-4d) y=1-x29x2-1e) y=3+x3-x

Q: H.W: Find asymptotes of the following curvey. b- y = a - y = X-4

A: As per our company guidelines we are supposed to answer only first three sub-parts. Kindly repost…

Q: Can you please show me what the horizontal and vertical asymptotes are?

A: Please see below.

Q: Find two of the vertical asymptotes of y = tan( 2x - -).

A: We have to find the two vertical asymptotes of y=tan2x-π3.

Q: Find the x and y intercepts, asymptotes,  domain, ranges, maxima and minima, and the scope of the…

A:

Q: Find the equations of the asymptotes of R.

A:

Q: Find the horizontal asymptotes.

A: ft=et1+e-t Now as t→∞, ft→∞. & limt →-∞ft=limt →-∞et1+e-t=limt →-∞et0-e-t        By using…

Q: 818 B. Find the horizontal, vertical, and oblique asymptotes of the curve y =

A: In this question, we want to find the vertical, horizontal and oblique asymptote of the given curve.…

Q: For what numbers x, - 2π ≤ x ≤ 2π, does the graph of y = csc x have vertical asymptotes?

A:

Q: R(x) x+1 x-1

A: Explanation of the answer is as follows

Q: Find the intercepts and the vertical and horizontal asymptotes, and then use them to sketch a graph…

A:

Q: Without graphing, find the horizontal and vertical asymptotes, if any, of the curves. Show your…

A:

Q: Given that the slant asymptote is y=x+3 and the vertical asymptote is x=-3, draw the curve if y' is…

A: We are not given conditions for interval (-3, infty), so we can assume anything after that

Q: Find the equation of all its vertical asymptotes given the cosecant function y = csc 2 csc-) 3.

A: The given function is y=cscx2-π3. Obtain the vertical asymptotes by solving sinx2-π3=0 as follows.

Q: Find the horizontal and vertical asymptotes of the curve

A: Given curve: y=x+3x+2

Q: Given the graph of y f(r), shown as a red dashed curve, drag the green movable points to draw the…

A:

Q: Sketch the graph of y = 2lnx + 3, showing clearly any asymptote and intercept(s) with the axis.

A:

Q: The hypotenuse of an isosceles right triangle is to be made into a circle C. Express the area A of C…

A:

Q: In sketching the graph of y=f(x) = – 3cos +)+4, we translate the graph of y = - 3cos s 5 by 4 units…

A: Transformation of graph

Q: (a) On the same diagram, sketch the graphs of y=x and y = |2x−1|.

A:

Q: 3x2 + х — 3 у x? +х — 6

A: We are asked to find horizontal and vertical asymptote.

Q: Find the horizontal and vertical asymptotes of the curve. 8 + x4 у x²x4

A:

Q: Analyze and sketch the following curves.Indicate the intercepts, asymptotes, and critical points

A:

Q: a. Discuss the curve P(x) = x^4 6x^2 with respect to concavity, points of inflection, local maxima…

A: Given the given function is Px=x4-6x2. If f"x>0→the fx will be concave upward. If f"x<0→the fx…

Q: What are the intercepts and asymptote(s) of h(x)? Explain how to find these using the graph. Write…

A: Intercepts: The point where the line or curve crosses the axis of the graph is called intercept.If a…

Q: 14. What does it mean to say that the line x = a is a vertical asymptote of the curve y = f(x)? Draw…

A:

Q: Given the following curve: y= (2x4+5x3-36x2-41x+70)/(x2-x-12) 1. What is the horizontal asymptote…

A: The function is given as:y=2x4+5x3−36x2−41x+70x2−x−12The objective is to find the asymptotes of the…

Q: Question 5: Calculate zeroes, local extremes, inflection points and asymptotes to the curve +x – 2 y…

A:

Q: Determine the horizontal asymptote of the curve y=2x4/(x4-3x4-1)

A: To determine the horizontal asymptote of the curve, y=2x4x4-3x4-1.

Q: For what numbers x, -ISxs3T, does the graph of y = 7 sec x have vertical asymptotes? Choose the…

A: We have to find

Q: 2x B. Find the horizontal, vertical, and oblique asymptotes of the curve y = X+1

A: The given curve y=2xx+1

Q: is the slope of the Fanget to the graph of X-g°= Inčxy) at the point ClD What line (1.1)

A:

Q: Determine the value(s) of x at which the graph of

A: Given,               f(x)=2x-1x2

Q: Find a function whose graph is is the given curve the top half of the circle x² + y² = 81

A:

Q: Find the horizontal and vertical asymptotes of the curve. 9 + x4 y = x² - xA (smallest x-value)…

A:

Q: Find the horizontal and vertical asymptotes of the curve. 5x + 4 y = х— 6

A: The process to find the asymptotes has been shown in the next step.

Q: a. Discuss the curve p(x) = x4 − 6x2 with respect to concavity, points of inflection, local maxima…

A:

Q: For the equation y = (1 + x* 1 - x), the vertica assymptotes is located at x =1 & -1

A: