The graph of a function and the graph of its inverse always have symmetry across

Q: Choose the graph that depicts a one-to-one function.

A:

Q: The graph of function and its inverse is always symmetric to a. horizontal line b. y=x line c.…

A: The solution is given below

Q: Graph the function f (x) = (-)" A - 3 and its inverse on the same set of axes.

A: The given function is fx=32x-3. Let y=32x-3. Interchange the variables x and y and solve for y as…

Q: Obtain the graph of the inverse function from the graph of thefunction

A:

Q: State whether the functions represented by graphs A, B, and C in the figure are even, odd, or…

A: Graph A is symmetric about the y-axis. This means graph A is even.  Graph B is symmetric about the…

Q: The distance from Casisang National High School to Misamis Oriental General High School is 20 km.…

A:

Q: Does the graph represent a function that has an inverse function?

A: Concept (for understanding): Horizontal Line Test Let f be a function. If any horizontal line…

Q: Does the graph represent a function that has an inverse?

A: Equation of a circle: If a circle has radius r and centre as (h, k). Then, equation for this circle…

Q: determine from its graph whether the function is one-to-one.

A:

Q: draw the graphs of each of the piecewise-defined functions.

A: First of all, consider the given piecewise-defined function.

Q: What is the graph of this function

A: given functionF(x)=x-2   ;   x≤-2             2       ;-2<x≤0        4-x2-;0<x≤2           x+4…

Q: Sketch a graph that shows f'(x) and f''(x) are always negative

A: answer is in next step

Q: Use the graph of f to draw the graph of its inverse function.

A:

Q: draw the graph of a function for which f' and f'' take on the given sign combinations. ++, +−, −−

A: Case 1: ++ Sign of f' = + This implies that the function is increasing Sign of f'' = + This implies…

Q: Sketch a graph of the function by first making a table of values. g(x) = x2 + 2x + 1

A: gx=x2+2x+1⇒gx=x+12 When x=-2, g-2=-2+12=1 When x=-1, g-1=-1+12=0 When x=0, g0=0+12=1 When x=1,…

Q: Which of the following graphs represents a function?

A: Here we use the vertical line test. If a vertical line is moved across the graph and, at any time,…

Q: Sketch the graphs of the following function y = 9/x + x + 1

A: Given: The function y=9x+x+1

Q: What function is represented by the graph below?

A: To find the equation of graph from the given options  The graph of equation  fx=tan12x and fx=tan10x…

Q: Use symmetry to graph the inverse of the function.

A: In this we are going to use the symmetry of inverse function around line y=x, so I'm providing hand…

Q: Sketch the graphs of the functions. 7. f(x) = (x + 2) – 1

A: 7. We have to sketch the graph of fx=x+23-1. Steps: First we will draw the graph for x3. Now to draw…

Q: Graph the given function and its inverse on the same set of axes. Also graph the line y = x. f(x) =…

A: Given: Function f(x)=-74x+1

Q: The following two graphs represent the graph of a function and its inverse, respectively: 3- -2 -1…

A: To show that, in the given two graph, second is inverse of first, we must show that any point on…

Q: IS THIS GRAPH A FUNCTION AND IS IT A ONE TO ONE?

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Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A:

Q: Can the graph of a function be symmetric to the x- axis ? Explain why or why not. If a function is…

A: The answer is no. The graph of a function cannot be symmetric to x axis. The definition is as…

Q: Sketch the graph of the function.

A: the given function is: hx=5x-2 we have to sketch the graph of the given function.

Q: Suppose you are given the graph of two functions. How could you tell whether one function is the…

A: suppose we have given two functions. we have to clarify whether the two functions are inverse of the…

Q: How can the One-to-One Functions Graphically be identified?

A: If a function has no two ordered pairs with different first coordinates and the same second…

Q: Describe the relationship between the graph of a function and the graph of its inverse function

A: Given that graph of function and graph of its inverse function.

Q: Find a function that satisfies the given conditions and sketch its graph.

A:

Q: Does the graph represent a function that has an inverse function

A: Given that: Graph of a function.

Q: Which of the following piecewise function describes the graph shown below?

A: From the graph   The two-points which lies on the line on the interval [-4, 4) are  (-4, 5) and (4,…

Q: Which one of the following graphs belong to function that has an inverse?

A:

Q: Does the graph represent a function that has an inverse function? 2)

A:

Q: 2- ٤-٣

A: To graph the given function.

Q: For the graph below, identify a restricted domain for which the function has an inverse that is also…

A: NOTE: Refresh your page if you can't see any equations. . the given graph is  the x-coordinate of…

Q: What is a one-to-one function?

A: A function can be said to be one-to-one if it never takes on the same value twice or more.

Q: show the graph of the given functions

A: Here it's told to show the graph of given functions. We will plot the graph of both the functions…

Q: How can a graphing utility be used to visually determine if two functions are inverses of each…

A: Consider the given information as  Graphing utility be used to visually determine if two functions…

Q: How are the graphs of a function and its inverse are closely related?

A: The function f(x) and g(x) are the inverses of each other if it satisfies the identity…

Q: Use the graph of the function to identify its domain and its range.

A: Given graph of the function is: Domain is the set of possible input values. Domain of the graph is…

Q: A function and its inverse are reflections of one another in the y=x line as shown in the graph.…

A: True.

Q: (b) What restriction must be applied to the original function to give this inverse graph

A:

Q: Make a rough sketch of the graph of the function. Donot use a calculator.   y = 2(1 -ex)

A: Make a rough sketch of the graph of the function. Donot use a calculator.   y = 2(1 -ex)

Q: What is the relationship between the graph of a function and the graphof its inverse?

A: Consider the function fx and inverse of f(x) is represented by f-1x.

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary. h(x) =…

A: Given function is hx=1.1x. List the values of the given function as shown in below table. x…

Q: A vertical line that the graph of a function approaches, but does not touch, is said to be a…

A: A vertical line that the graph of a function approaches, but does not touch, is said to be a…

Q: Describe in details the process on how to graph the function S(2) = -2sin(x -)

A: Transformations can be used to find the graph of a given function from the graph of a standard…

Power Operation

Power operation is topic of algebra in Math. It is use to represent repeated multiplication. Very big number and very small number can be easily express using power operation. Power operation is useful in many fields. In space engineering, it helps in representing the distance or size of particular heavenly body. In medical field, it is used to represent very small size. In medical field it helps to mention size of bacteria or virus. 

Exponents

The exponent or power or index of a variable/number is the number of times that variable/number is multiplied by itself.