of the given function. Explain also the concavity of the point extreme points of the given function by using

Q: 8. Find the inflection points of the previous function and identify regions for which the function…

A:

Q: find the points of inflection and discuss theconcavity of the graph of the function. f(x)=x…

A: To find: The point of inflection and discuss the concavity of the graph of the function. Given: The…

Q: Find all points where the function is discontinuous. 5)

A: Given query is to find the value of x where function is discontinuous.

Q: A college has a financial aid formula that applies to applicants whose family's income is below a…

A: Given, f(x)=15000+3000x , where x is the number of siblings and f(x) is the financial aid of the…

Q: Suppose you are given a formula for a function fpxq, and you are asked to find all the critical…

A: Suppose, Given - a formula for a function f(x) Critical Points: Critical point of a function are the…

Q: 6. Find the inflection points of the previous function and identify regions for which the function…

A:

Q: What is the range of this function?

A: We have to find the range of the function from the given graph.

Q: Which statement about a function is true? (i) For each value ofx in the domain, there corresponds…

A: A function is actually a “special” kind of relationship because it follows an extra rule. Just like…

Q: Sketch a graph of the function by first making a table of values.

A: Given: fx=x-2. Here,  x-2≥0      x≥2 Therefore, the domain of fx is x≥2 and range of fx is R+  For…

Q: y = x² /9 – x

A: x=0 y=0   x=1 y=(8)^(1/2)   x=2 y=4((7)^(1/2))   x=3 y=9((6)^(1/2))

Q: 10. Identify three characteristics to the graphed function of f (x) = (÷) +1.

A:

Q: examine the function for extreme: 1.   f(x)=x+x+2 2.   y=x3+x2+x+5 maxima and minima

A: # the first function seems to have some error. We are entitled to answer one question. Please…

Q: Find the points on the graph of the function that are closest to the given point. f(x)=x², (0, 9)…

A: Given function is fx=x2  and the point is 0, 9   To Find: The points on the graph of the function…

Q: Is the function has a extreme point? If yes, Locate the extreme point: 1 + 3x V4+5x2 y

A: Find derivative of function and equate to zero to find critical points

Q: Find the exact location of the relative and absolute extrema of the function.

A: Solve the following

Q: Find the relative extrema of the function, if they exist. f(x) = 1 %3D

A: Given,          fx=x2+1x2

Q: 14. Use the curve sketching procedure to analyze the function. а. у-х*+x*-20х

A: since you have asked multiple questions in single request so we will be answering only first…

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Consider the function, fx=x-23x-1 To calculate the double derivatives of the given function,…

Q: Find the locations of any absolute extrema for the functions with graphs as follows.

A: Given:- The graph is given we have to find the absolute extrema.   Explanation:- An absolute…

Q: What is a function, in your own words? Give an example to back up your points.

A:

Q: b) Differentiate between the domain and range of your function.

A: Topic  =Functions

Q: Determine the critical points of the function f(x) = x^3-12x-1 and establish the nature of each one…

A: The given function is  f(x) = x3 - 12x - 1 To find critical points

Q: Find the points on the graph of the function that are closest to the given point.

A: Given:

Q: What do all members of the family of linear functions f(x)=  c- xhave in common? Sketch several…

A: Given :           fx=c-x

Q: For a given function ƒ, what does ƒ′ represent?

A: If a function f is given, then the first derivative of the function is represented by f'. It can…

Q: By inspecting the graph of the function, find the absolute maximum and absolute minimum on the given…

A: From the given problem:   hx=x2-1x∈-4,5   Now differentiate the given function with respect to x and…

Q: Identify the location and value of any relative maxima or minima of the function. If there is more…

A: Given that:

Q: Find the points on the graph of the function that are closest to the given point. F(x)=x², (0, 9)…

A: f(x)=x^2, (0,9)

Q: Find the points of inflection and discuss the concavity of the graph of the function f(x)= x +…

A:

Q: Does knowing that a function ƒ(x) is differ-entiable at x = x0 tell you anything about the…

A: Given:Does knowing that a function ƒ(x) is differentiable at x = x0 tell you anything about the…

Q: Using the maxima and minima of the function, produce

A: Given,           I=∫∫De4(x2+y2)dA Where D is the circular:                x2+y2≤1.

Q: Find the absolute maximum and minimum values of the following function on the given interval. Then…

A:

Q: Find the critial points, local extrema and inflection points for each function. show all work y=…

A: Consider the function: y=xx2-54…

Q: Explain why the function is discontinuous at the givennumber a . Sketch the graph of the function.

A: The function is given , fx=x2-xx2-1 ,  if x≠11,     if x=1 for a=1. To check the function…

Q: 14. Use the curve sketching procedure to analyze the function. a. y-x'+x*-20x

A:

Q: Can a function be both even and odd? Give reasons for your answe

A: We know

Q: Find the points on the graph of the function that are closest to the given point. f(x) %3 х2 - 5,…

A:

Q: Find the point on the graph of the function that is closest to the given point.

A: Given:

Q: Fim the Points on the JraPh Of the function that given Poin. asxe Closest to the

A: We use second derivative test to find out point where distance minimum

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = (x +…

A: Our Aim is to find the points of inflection and discuss the concavity of the graph of the function…

Q: find the domian of the function. verify your result with a graphing calculator table or graph f(x)=…

A: Given function f(x)=x-2x+3

Q: Determine the end (long run) behavior for the function below: f(x) = –2(x – 1)³(x+ 2)²

A: We first find the leading term of the given function  We will ignore the constants with the xs to…

Q: Given the function f, discuss its relative maximum and minimum points, the intervals where it is…

A: A function f(x) is increasing on (a,b) iff f'(x)>0 ∀x∈(a,b) and decreasing on (a,b) iff f(x)<…

Q: Identify the location and value of any relative maxima or minima of the function. 7) V 2

A:

Q: What do all members of the family of linear functions f(x) = 1+m(x+3)have in common? Sketch…

A: Given: The linear function, fx=1+mx+3.

Q: What is the relation between the differentiability andcontinuity of a function?

A: All differentiable functions are continuous, but not all continuous functions are differentiable.

Q: If f (x) is the function whose graph is shown, on which interval is fincreasing? Use cursor to…

A: f(x) is the function whose graph is shown, on which interval is f increasing?