5. If x1 and x2 are two different inputs of a function f, then f is one-to-one if

Q: The table contains some input-output pairs for the functions f and g. x f(x) g(x) 3 10 6 4 7 10 6 3…

A:

Q: If c is a non zero constant then the function is always differentiable x2 + c2

A:

Q: A 1.Find the domain of following functions: a.f (x) = {(2,6), (3, 9), (7, 11), (4, 0), (-1, 12)} and…

A: We are asked to find  domain and composite of the function

Q: Select all of the following tables which could represent a linear function. f(a) -2 13 10 28 15 43…

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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: A class has two options to pass the class: either the homework grade is at least 60% or the final…

A: Given Information: There are two options for a class to pass. Either the homework grade is at least…

Q: Example 10 Let X = {a, b} and Y = {1,2,3}. Find the number n of functions: a. From X into Y, and b.…

A: Suppose, set X has p elements and set Y has q elements. Then, the total number of functions from set…

Q: 1) write the linear function f for which f(1)=3 and f(4)=0

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

Q: a. Determine whether f(x) = 5/(x+1) is a one-to-one function from R to R, if not, give a counter…

A:

Q: Refer to the functions f and g and evaluate the functions at x =-2. f = {(2, -1), (1, 1), (-4, -6),…

A: (f+g)(-2)=f(-2)+g(-2)  Substitute   f(-2)=-8  ,    g(-2)=-5in the above equation

Q: Let f be a function. If f (a) = f (6), then a = b. O True O False

A: We have to check is true or not

Q: If f is an even function, then f −1 exists.

A: Consider an even function ,f(x)=x2 For,x=±2,we have f(±2)=4 Hence, given function is not…

Q: Input () 5 8 -8-3 2 Output (y) 12 17 10 5 2 Input (z) 18 20 22 24 26 Output (y) -9-9-6-3 0 Input (z)…

A: Solution:-

Q: t function has a special relationship where each input has a single output? a. one-to-one function…

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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: Use the table shown below to answer the following questions. 1 2 3 f(x) 3 1 3 7 (a) Select the true…

A: (a) The second option is the correct option. f0=f2=3For x=0 and x=2, fx has same output.Hence, f is…

Q: What is a 1–1 function? A function f is a 1–1 function if, for any a and b in the range of f, f(a) =…

A: Given:[1]. A function f is a 1–1 function if, for any a and b in the range of f, f(a) = f(b) implies…

Q: Use the mathematical definition of concave and quasi-concave functions to prove that: 3. (a) The sum…

A: A real-valued function f {\displaystyle f} on an…

Q: (c) Show that if f is entire and |2020 + if(z)| 2020 for all z, then f is a constant function.

A: