Shown below is the graph of a function f which is continuous at every real number. Identify the ABSOLUTE MAXIMUM of f on the interval [0, 1].

Q: Sketch the graph of a function that meets the following conditions: a. Graphed on the interval…

A: Given: a. Graphed on the interval [-4,10]. b. Has no relative extrema. c. Has an absolute maximum at…

Q: Continue the graph of f to the interval [−4, 4] as an even function.

A: In order to get the graph of the even function from the given graph, reflect the graph of function…

Q: When is a function continuous over a closed interval?

A: A function is continuous over a closed interval when it is defined at all points in the interval…

Q: Explain the Wronskian of 2 functions f and g ?

A: Let f and g are the two functions. The Wronskian of the n functions is the determinant of the matrix…

Q: Show that the main properties of Measurable functions are equivalent

A: A measurable function is a function between the underlying sets of two measurable spaces that…

Q: Explain why a function with a removable discontinuity is not differentiable at that discontinuity

A:

Q: What does it mean if a function f is increasing on an interval?

A: Let the given function be y = f(x) And the interval be I.

Q: A fixed point of a function f is a number c in its domain that satisfies f(c).  In other words, the…

A: Given: A fixed point of a function f is a number c in its domain that satisfies f(c).

Q: The vertical line test to determine whethera curve is the graph of a function states: If every…

A: We have to prove that a vertical line in the xy plane intersects a given curve in at most one point…

Q: Identify the real number at which it is not continuous of the given function

A: To find: The real number where the function is not continuous. Given: The function is fx=xx2-4x+4.…

Q: Sketch a graph of the functionf:R R, given by f(x) = -2z + 8r in the range r E-1. Find all the…

A: We need to graph function and find maxima and minima.

Q: Let f be the function defined by ƒ (x) = x² − 12x³ + 48x² − 64x. Which interval is the graph of f…

A:

Q: x -1 f (x): x² +3x %3D

A: If two functions f,g are continuous then the function f+g,f-g,fg are also continuous. The function…

Q: Consider the possible functions from [7] to [9].  How many in which f-1 is not a functio

A: Let f:7→9 is a function then, Let A=[7] and B=[9] So, n(A)=7 and n(B)=9 Now, the total functions of…

Q: f (x) = x + 2x³ – x² – 2 %3D

A: Given: Determine if the given function is continuous at every real number f(x)=x4+2x3-x2-2

Q: Give an example of a function with both a removable and a non-removable discontinuity

A: Example of a function with both removable and non - removable discontinuity

Q: what valu e shouled be assigneed to a to make the function fex)= %3D 2ax

A: For the function to be continuous, the necessary condition is LHL=RHL=f(3) Here,  LHL=limx→3-f(x)…

Q: Let f be defined as follows: x²-9 f(x) = x-3 k if x # 3 if x = 3 What value of k would make the…

A:

Q: Is this function Discrete, continuous, piecewise, or linear?

A: as we can see here graph does have scattered points so the given function is not Discrete. now, as…

Q: Find the domain of the function using interval notaion.

A: To find the domain of the given function.

Q: Give some examples of functions that are not continuous and state the values of x for which they are…

A: Few examples are given witch is not continuous.

Q: It is possible for the absolute maximum of a function on a closed interval to occur at:

A: An absolute maximum must occur at a critical point or an endpoint, and x = 0 is the only such…