5. Which function does NOT have an asymptote of x = 3? * 1 ソ= ズ-3 4. ソ= (x- 3)2 Option 1 Option 2 2x ソ= 3x - 9 ソ=ズ-3 Option 3 Option 4

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

A:

Q: A wire length 23 is to be cut into two pieces and formed into a square and a circle. Let x represent…

A: Given that the total length of the wire is 23. That is, the perimeter of the wire is 23. Let x be…

Q: The graph of f(x)=(1.68)xf(x)=(1.68)x is shifted right 33 units, stretched vertically by a factor of…

A: The given function is fx=1.68x. shift right 3 units, stretched vertically by a factor of 2. Then…

Q: The graph of the function fx) =/x is stretched vertically by a factor the transformed function…

A: Given- The graph of the function fx = x is stretched vertically by a factor of a and is translated 3…

Q: Given the two functions, explain how the characteristics (Zeros, Vertical Asymptotes, Horizontal…

A: for vertical asymptotes, put denominator=0 and for zeroes, put y=0

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: Use the graph of the function to estimate the interval on which the function is increasing. -5- 4 3-…

A: GIven problem:-

Q: How might you restrict the domain of f(x) = x2, graphed in Figure 1.71, so that the remaining…

A: Given that, f(x)=x2 We have to Find How to restrict the domain of f(x)=x2  So that the remaining…

Q: 8. Determine algebraically if the function is even, odd or neither. y = -2' - |-2°|

A:

Q: The graph of a rational function cannot have both ahorizontal and an oblique asymptote. Explain why.

A: Query- The graph of a rational function cannot have both a horizontal and an oblique asymptote.…

Q: Find the open intervals on which the function is increasing or decreasing.

A: A function f(x) is increasing if for each x1<x2 we have fx1<fx2. Similarly a function f(x) is…

Q: What is the point on the curve q(x)=x2−2 that is closest to the point (−18,−2)? Enter your answer as…

A:

Q: in a refining tower is f(x) = x4 - 4x3 + 119 degrees Fahrenheit after x hours (for 0 n diagram for…

A:

Q: 3) Without a graph, how can one show differentiability of a function at apoint?

A: With out the graph, to show the differentiablity of a function at a point we have to use the…

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = x3 +…

A: Given: Find the increasing and decreasing interval of function. Condition for monotonic increasing,…

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

A: Find the limits at infinity,

Q: True or False The graph of every rational function has atleast one asymptote.

A: Given: The graph of every rational function has at least one asymptote.

Q: suppose (-2,1) is a point on the graph of y=f(x). what is a point that will be on the graph of…

A: Topic - functions

Q: A friend looks at the graph of y3x and observes that if you start at the origin, the graph increases…

A:

Q: The graph of f(x)=-x-5x+6 has the point (2, -6) on it. O True O Fals

A: Ans: False

Q: Find the roots off (x) = x 4 - 4x 2 and sketch its graph. On which intervals is f decreasing?

A:

Q: The graph of a rational function can never cross a vertical asymptote.Determine whether the…

A: It is known that the vertical asymptotes are obtained by solving the denominator. That is, the…

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: Describe the points (if any) at which a rational function fails to becontinuous.

A: Given: The function is rational. Concept used: If the value of function at any point is not defined…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = 12 +…

A: Given: fx=12+x-x2 we know that for any function it is increasing then f'x has to be greater than…

Q: Suppose (−4,1) is a point on the graph of y=f(x). What is a point that will be on the graph of…

A:

Q: With a function of x^4 - 50x^2 + 9, and  increasing intervals at [-5, 0] and [5, infinity), and…

A: To find the inflection points of the given functions.

Q: We exclude from a function’s domain real numbers that cause division by .-------------

A: Given a function’s domain real numbers that cause division by .-------------

Q: 1. Sketch the function Ax) = 3x* - 12x', indicating any extrema, points of inflection, and vertical…

A:

Q: True or False The cube root function is odd and is decreasing on the interval (-∞,∞).

A: we have to tell whether the given statement is True or False

Q: f(x) = x – !

A:

Q: If the point (π/6, -6) lies on the function y = 2sin (x + k) – 7 for the interval 0 ≤ k ≤ 2π,…

A: Given that  y= 2sin(x+k)-7 point(π/6,-6) lies on curve

Q: The function f  whose graph is given has a discontinuity at x=4 since  does not exist. Prove true…

A: Topic:- function

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: What is the equation of the horizontal asymptote of function: f(x) = 2/(x + 2) - (x + 3)/(x + 4)?

A: I have appended the formula used in the solution part.

Q: explain using a graph of (x) = X³-6x, for 0≤x≤3 With Six sub intervals, what the Riemann sum…

A:

Q: How many asymptotes does the function Ax) = x-1 (x+ 1) have?

A:

Q: The cumulative number of cases of AIDS(acquired immunodeficiency syndrome) in the United States…

A: Disclaimer: Since you have posted a question with multiple sub-parts, we will solve the first three…

Q: Find the intervals on which ƒ is increasing and the interval on which it is decreasing. ƒ(x) = x4 -…

A: Increasing and decreasing functions: f(x)=x4-4x3+4x2 Increasing function Let y=f(x) be a…

Q: Find the intervals on which ƒ is increasing and the intervals on which it is decreasing. ƒ(x) = 4 -…

A: Given, fx=4-x2

Q: The graph of y= f(x)= √x-9 is horizontally stretched away from the y-axis by a factor of 3 to…

A:

Q: True or False The cube function is odd and is increasing on the interval (-∞,∞)

A: Explanation:' The cube function is f(x)=x3 An odd function is the function that satisfy this…

Q: If the line y = 2 is the horizontal asymptote of the curve y = f(x), then /(2) is undefined. Select…

A: To find whether given statement is true or false.

Q: The graph of a rational function cannot have both a vertical asymptote and a horizontal…

A: Let  a rational function be: fx=axn+⋯bxm+⋯ Graph will have vertical asymptote where its denominator…

Q: 7- -6 -5 -2 4 -5 -6 -7

A:

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: Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on (a, b),…

A: Given, Suppose that a function f whose graph contains no breaks or gaps on (a, c) is increasing on…

Q: Suppose point P (-2, -3) is on some function y=f(x) and is transformed to g(x) so that g(x) = 5f…

A:

Q: The point (0, 1) is not a point on the curve, due to the fact that division by zero is not - This is…

A: Given function, f(x)=sinxx over domain [-2,2]