64. Explain why a vertical asymptote is only a guide and is not part of the graph of a function.

Q: What kind of symmetry does the graph have if f(-x) = - f(x)?

A: If f(-x) = - f(x), then the function is symmetric about the origin.  For example:

Q: 9. Explain why f represents the graph of a function.

A: " Since you have asked multiple question , we will solve first question for you. If you want any…

Q: True or False: A vertical asymptote and a hole in the graph create places of discontinuity that…

A: If there is a vertical asymptote or a hole in the graph of function then there must be discountunity…

Q: B. Describe in your own words what a vertical line test is in egards to mathematical functions.

A: In mathematical functions, the vertical line test is a easy way to determine if a curve is a graph…

Q: Explain why the graph of a nonzero function is never symmetric with respect to the x-axis.

A: To be symmetric about the x-axis. We must have points of the form (x,-y) when (x,y) is on the…

Q: snip

A: Given: y=4fx is differ from the graph y=f4x

Q: Try to draw a vertical line on the graph so it intersects the graph in more than one place. If you…

A: Given graph :

Q: Determine the open intervals on which the graph is concave upward or concave downward.…

A: Given:    fx=20x2+3

Q: Roughly speaking, an asymptote tells us about the slope of a function. the maximum of a function.…

A: We have to say what an asymptote tells about the function.

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

A:

Q: 8. What is the vertex of the graph of the function g(x) = (x + 2)2 - 6 ?

A:

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: Graph the function f(x) = -2 (5)*5 asymptote and any two points with whole number coordinates. on…

A: Solution: The objective is to graph the given function

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: What is the range of the relation shown on the graph?

A:

Q: 5æ3 – 8 Y = г? + Зх — 1

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: determine whether the function fx approach infinity or -infinity as x approaches 4 from the left and…

A:

Q: 17. Explain in your own words why the vertical line testdetermines whether a graph is a function

A: For a relation to be a function, every x must have a unique image in y. Vertical line test draws a…

Q: Complete the description of the piecewise function graphed belov { 3 if f(z) = {-1 if {5 if

A: From graph , it is clear that f(x)=3 for , f(x)=-1, for and f(x)=5 for

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: Your friend claims that the graph of f (x) = (2x + 1)/x is the graph of f (x) = 1/x shifted 2 units…

A: Verify that the graph of  f1x=2x+1x is 2 units upward of the graph of  f2x=1x.  Simplify f1x=2x+1x.…

Q: Graph the function, considering the domain, critical points, symmetry, relative extrema, regions…

A: Solution:Given    f(x)=-43x3+x2+30x-7

Q: 2. If f"(2) = 0 then explain how the graph of f might NOT have a point of inflection at x = 2.

A:

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

A:

Q: Explain why the function 212 doesn't have a vertical asymptote. x2+2x+2 Explain why the calculation…

A: This is a vector and function problem

Q: What are the horizontal asymptotes of the function in Figure 7?

A:

Q: Give three characterizations of what it means for the graph of f (x) to be concave up at x = 2.…

A: Consider the given information as The graph of fxto be concave up at x=2. Concave down.

Q: give 5 example problems of removable, jump, asymptote discontinuity

A: To give Examples of removable , jumped , asymptote discontinuity

Q: What are the horizontal asymptotes of the function in Figure?

A: Solution:Given   y=f(x)To find the horizontal asymptotes of the function.

Q: 105. Explain why x = -2 is not a vertical asymptote of the * + 7x + 10 graph of f(x) x + 2

A: The given function is fx=x2+7x+10x+2. Compute the limit as follows.

Q: What is the function rule for the graph. below?

A: Consider a line passes through two points with coordinates  x1,y1 and x2,y2. The equation of the…

Q: Nora says that the graph of a circle is a function because she can trace the whole graph without…

A: Suppose r be the radius of the circle centered at the origin, then the equation of the circle is…

Q: (b) Discuss the continuity, monotonicity and concavity of the function whose graph is given in the…

A: Look at the graph, The graph breaks at point x = -4. That is, function is discontinuous at x = -4.…

Q: Complete the description of the piecewise function graphed bel -3 if f(x) = -2 if %3D -1 if

A: To find interval of f(x) using graph

Q: Is there a function whose graph is symmetric with respect tothe x-axis? Explain.

A: If a graph is symmetric with respect to x-axis for a point (x,y) lying on graph if and only if…

Q: (b) Discuss the continuity, monotonicity and concavity of the function whose graph is given in the…

A: Continuity: The function f(x) is continuous at x =a: If f(a) exist and That means left and right…

Q: Answer 22. 2x2 - 5x – 3 if æ # 3 f (x) = x - 3 a = 3 if x = 3

A:

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: True or False: The graph was shifted 3 units to the right from the parent function.

A:

Q: Is the graph of even function symmetric?

A: Is the graph of even function symmetric?

Q: f(x) = 2²3 on (0, ∞) x+3

A:

Q: What is the midline of the function graphed below?

A: Given ,  We have to find the midline of the function

Q: Suppose that the graph of a function f is known. Explain how the graph of     y = 4f(x) differs from…

A:

Q: Find the requested information for the function using its graph. 3 Domain: VA: 8 10 НА: 13

A:

Q: What is the vertical aymptote of the graph f(x) = x+3/x^2-9

A: Given: The function is fx=x+3x2-9   To determine: The vertical asymptote of the function fx=x+3x2-9

Q: Graph the following function, showing all asymptotes and relative extreme points. 2x 16 x+4 f(x) =

A: The Solution is given below

Q: What is the definition of an even function?

A: Let f(x) be a real valued function of a real variable, then f(x) is said to be even function if…

Q: What are the horizontal asymptote and y-intercept for the graph of this function f(x)=2-x+7 ?

A: Given function