7. The ordered pair (1, 5) belongs to a function f. Explain why the ordered pair (2,1) cannot belong to the inverse of f (f-1) (

Q: g(x, y) = In(2-x) 1-x2-y²

A: To find the domain of the function, g(x,y)=ln(2-x)1-x2-y2

Q: What value of x makes the relation {(1,5), (x, 8), (-7,9)} a function?

A:

Q: Suppose f is a function with property that f(x) ≤ x 2 for all x. Show that  f'(0) = 0.

A: Suppose f is a function with property that f(x) ≤ x2for all x. Showthat f'(0) = 0.

Q: Is there a function that is both even and odd?

A: Yes, f(x)=0 is both even and odd.

Q: 2. what is the domain of the function)

A: Given function is, f(x,y)=cos-1x2+y2-3+lnx2+y2-3 The graph of the function is,

Q: Give a geometrical interpretation of the function In x

A: To give: Geometric interpretation of the function ln x=∫1xdtt. Concept used: The area under the…

Q: y = Sen4x

A: True explanation is given below

Q: Give a function that requires three applications of the chain rule to differentiate. Then…

A: Using chain rule

Q: Prove that the product of two even (or two odd) functions is even

A: Let f(x) and g(x) are two even functions.  That means f(-x)=f(x) and g(-x)=g(x) So their product…

Q: - Show that the function f(x) = secx.cscx odd or even

A:

Q: Is this relation a function?

A: Given,           A graph is shown below :

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: Suppose f is a function with range (-∞, ∞) and g is a function with domain (0, ¤). Is it possible…

A:

Q: Which table does not represent a function of x?

A:

Q: find and sketch the domain of the function f(x,y)= Suqare root 2x-y

A: f(x,y)=2x-yAs we know that domain refer to set of positive values  while range is the set of…

Q: Find three relation from {1, 2} to {6, 7} that are NOT functions.

A: Solution is given below:

Q: If f(x) and g(x) are two functions defined on an interval then, ꭍ{f(x)±g(x)} is equal to?

A: The sum rule states that the integration of the sum of two functions equals the sum of the integrals…

Q: If f(z) is analytic function show that:

A:

Q: is even, odd function or neither

A:

Q: Find four relations from {a,b} to {x,y} that are not functions from (a,b} to x, y}

A: We have to find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.…

Q: Let f(x) be an EVEN function. If the point (2, 3) belongs to f, then another point likely to belong…

A: Let f(x) be an EVEN function.

Q: Sketch a graph of the function f(x) = 2 sin(z) %3D 6+ 5 4 3 -6 -5 -4 -3 -2 -1 -- 6 7 -9 -8 -7 2 3 5…

A: How to solve: make a graph of sin(x) and then transform it one by one:

Q: Define the piecewise defined function. (0, 0) (2, 0) (3, 0) -2 -1 3 -1 +-2-2) -2

A:

Q: explain why the function has at least one zero in the given interval. f(x) = x^3+ 5x-3 intervals…

A:

Q: 4. Consider the functions g(x) = and . Determine (12)- (}),

A:

Q: This is a function. Truc

A:

Q: Complete the statements for the functions provided. f(x)=cotx a) as x --> 0- , f(x) --> _____…

A: Consider the given function.

Q: How to use the standard y = f(x) notation to indicate that (a, b) is an element of the function f?

A:

Q: Find four relations from {a, b} to {x, y} that are not functions from {a, b} to {x, y}.

A: It is given that the two sets are {a, b} and {x, y}. It is known that if A and B are the sets then…

Q: If I reverse a function’s components, will this new relation be a function?

A: Suppose a function f(x)=3x+5 with the input of x and gives the result y.

Q: What will be the orientation of the curve of the graph of the function f(x) = on (-3,0)? A.…

A:

Q: Which derivative of f tells us whether the function is increasing or decreasing?What do we check to…

A: Given function ,  f(x) = ln ( x2 + 2x + 5)  Find interval of increasing and decreasing .

Q: define convolution of two functions?

A:

Q: Show that the function g(x)  =x| x has an inflection pointat (0, 0) but g"(0) does not exist

A: Given: The function g(x)= x |x| For x<0, |x|=-x, thus g(x)=x(-x)=-x2 Also for x≥0, |x|=x, thus…

Q: Suppose f is a function with domain [a,b]. If f is an odd function, what can be deduced about a and…

A: According to question f is a function with domain [a, b]  And f is an odd function.

Q: A function is even if the opposite input results in an

A: For even function :f(-x)=f(x)

Q: Let f(x) dr = -8, f(z) dr = 3, g(x) dr = 7, g(1) dr = - = -15,

A: Given∫02f(x)dx=-8, ∫03f(x)dx=3, ∫02g(x)dx=7, ∫23g(x)dx=-15

Q: Sketch a graph of the function f(x) : 2 sin +1 6+ 4 -7 -6 -5 -4 -3 -2 -1 -1 1 2 3 -9 -8 4 5 -2 -3 -4…

A: Given: The function

Q: sinz and cosz are not entire functions *

A:

Q: Show that cosecant is an odd function.

A: To show: The cosecant is an odd function. Given: The function is cosecant. fx=cosec θ Concept used:…

Q: Give two examples of functions that are not differentiable.

A: The function is non differentiable at points where limit does not exists or infinite

Q: What are even and odd functions of symmetry? For example f(-x)=-f(x), f(-x)=f(x), Symmetric about…

A:

Q: A relation between x and y is a function when what?

A:

Q: What are the odd functions?

A: We have to define odd function. If we have function y=fx then for odd function it must satisfy that…

Q: Find four relations from {a,b} to {x,y} that are not functions from {a,b} to {x,y}.

A: Given: Let A=a, b and B=x, y To Find: Four relations from A to B that are not functions.

Q: The graph of f' on the interval [-3, 2] is shown below. YA (2, 4) y = f'(x) (-1, 1) (1, 1) 1 (-3,…

A: Graph of f' on the interval -3,2 is given.f'<0 for -3,-2f'>0 for -2,0∪0,2f'=0 at x=-2, x=0.

Q: Sketch a graph of the function f(x) = - 4 cos 6+ 4 2 -8л -7л -бл -5л -4л -3л -2л -л) 2л Зл 4л 5л бл…

A: We need to draw the graph of

Q: Construct a function that is undefined at points 2,3 and π

A: We have to write a function fx which is not defined at the points x=2, x=3 and x=π. We know that a…