sketch a araph of a function f that satisfies the civen values. if lo メう-3 um if ex) does not exist メう。

Q: find f(2021) if function f satisfies following the function f(1)=1 and f(x+y)= f(x)+f(y)

A: we have given f(x+y) =f(x) +f(y) and f(1) =1. We have to find f(2021)

Q: Let 1 f(x) = 2 9, - 2 < x < 5 - The domain of ƒ¯'is the interval [A, B| where A = and B =

A:

Q: The function f is defined

A:

Q: Determine whether the function is even, odd, or neither. f(x) = + 15 z3 O Even O Odd Neither

A: Given:

Q: Prove that if the function f is 1-1, then ƒ-1 is a function.

A:

Q: If f(x) = , what is f" (x)?

A:

Q: In the game of Hearts, four players are each dealt 13 cards from a deck of 52. Is this a function?…

A: Here in the given problem statement it is stated that in a game of hearts ,four players are each…

Q: Determine if the given function is homogenous or not: f(x,y) = sqrt(x-y)

A:

Q: Does aboue given function Satefy the

A: Given - f = Ae-bz - vt2 To find - Does above given function satisfy the following equation ∂2f∂z2 =…

Q: A function f is ________ when, for each x in the domain of f, f(−x) = −f(x).

A: We have to fill in the blanks: A function f is ---- when, for each x in the domain of f, f-x=-fx. We…

Q: Suppose that f(x) is a function with f(120)=52 and f′(120)=3. Estimate f(119.5).

A:

Q: Prove that every function is relation but converse is not true, given the answer to supports your…

A: A function is a relation that has one and only one unique element on the range for each element in…

Q: The domain of the function За + 5у is 2? + у? — 4 f(x, y) - >

A:

Q: Suppose that f(x) is a function with f(140) = 25 and f' (140) = 2. Estimate f(142). f (142) =

A:

Q: Let c =8 If f (x) = ecsin(). Find f' (0)

A: Given c=8and f(x)=ec.sin(x)⇒f(x)=e8sin(x)

Q: The inverse of the function f(x) = +3 is f-'(x) =. O 5(x – 6) 25(x – 3) O 35(x – 3) O 10(x – 3) 5(г…

A: We will find the inverse function as following.

Q: Determine whether the statement " If f is a function, then f(ax, ay) = a2f(x, y)" ,is true or false.…

A: If f is a function, then f(ax, ay) = a2f(x, y).

Q: Determine whether the function f is one-to-one.

A: fx=1x2 Consider, fx1=fx2⇒1x12=1x22⇒1x1=±1x2 Therefore f is not one-to-one.

Q: Assume that fis a one-to-one function. (a) If f(1) = 13, what is f-1(13)? (b) If f-1(3) = 5, what is…

A: (a) If f(1)=13 (b) If f-1(3)=5

Q: Let f be a function. Then f (a) + f (b) = f (a + b) . O True O False

A: We need to proveor disprove if  fa+fb=fa+b

Q: is even, odd function or neither

A:

Q: Let 1 f(x) = x + 15 f (2) = Submit Question

A:

Q: If (-3, 1) is in the function f(x), then which of the following points will be in the function f…

A: (-3, 1) is in f(x)  Hence,  f(-3)  =  1    Taking the inverse of f at both sides    f-1 ( f(-3) )  =…

Q: This question is designed to be answered without a calculator. If fis a function such that fx)dx = -…

A:

Q: What is the end behavior of the given function? f (x) = 3V-x – 2 As x → 0, f(x) → -∞. As x → -, f(x)…

A:

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: Given: if f is a function, then fax=afx

Q: Determine graphically if the function is odd, even or neither. O Odd O Neither O Even O There is no…

A: Use the concept of odd even of a function graphically.

Q: Which of these relations is a function? AY

A: A relation is said to be a function if every element in the domain is related to unique element in…

Q: Determine whether the function is odd, even or neither. f(x)=xcosx+1

A:

Q: Suppose that f(x) is a function with f(85) = 76 and f'(85) = 1. Estimate f(84). %3D f(84) =

A: f(85) = 76 f'(85) = 1 f(84)  = ?

Q: Evaluate the function at the indicated values. (If an answer is undefined, enter UNDEFINED.) 1: -3).…

A: Given  f(x) = x2-1 In order to evaluate the functions at the given point, substitute the points as x…

Q: Assume that f is a one-to-one function. If f (6) = –1.7, then f-(-1.7) = If f-(1.3) = 5.2, then f…

A:

Q: Which number(s) can be placed in the empty cell so that the table of values satisfies the definition…

A:

Q: Use this information to answer parts a and b. - express N as a function of t.

A:

Q: x = 0 is not a function. Select one: True False

A: A function is defined as the relationship between an input and an output. In function each input…

Q: Assume that g is a twice-differentiable function (that is, g' and g" exist) and f(x) = x g(x²).…

A: The given function fx=x.gx2 Differentiate with respect to x using product rule…

Q: Find the number of all one-one functions from set A = {1, 2, 3} to itself.

A: Given set A = {1, 2 , 3}.It is also given that the function is one-one function.As the function f is…

Q: Determine which of the following relations is a function.

A: A function is a relation for which each value from the set the first components of the ordered pairs…

Q: Assume that f is a one-to-one function. If f(x) = 5 - 2x, f -1(3).

A: The inverse of the function f is exists if and only if the function f is one - one and onto.In this…

Q: Show whether or not the following function is coercive: f (æ1, æ2) = e*i + e*ž – a200 – ažº ,200 %3D

A:

Q: Which of the sentences is/are true for the following function?

A:

Q: 2. Does a rule from one set to another set need to be explicit in order for the rule to qualify as a…

A:

Q: Question 8

A: Use the chain rule of derivative:

Q: Since f'(x) is a function, f'(x) has its own graph, one that is based on the behavior of f(x). True…

A:

Q: A function is defined as: (-1 for - 3<x< 0 %3D +1 for 0 < x < 3

A: Given, f(x)=-1    for  -3≤x&lt;0+1    for    0&lt;x≤3 Given function is a piecewise defined…

Q: Does this relation defineny to be a function of x  X=|y|  If it does not define a function, find a…

A:

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: