Define the term One-to-One Functions?

Q: What are One-to-One Functions?

A: Functions: A function is a relation between a set of inputs and a set of permissible outputs with…

Q: Give an example of real-life application of function.

A: Function defination: Generally  a function has a dependent variable and a independent  variable. By…

Q: Is the function even, odd, or neither?

A: From the graph of the given function, it is observed that the graph is symmetric about origin. Or it…

Q: Define Algebraic Functions?

A: An algebraic function is described as a function that includes particularly algebraic operations,…

Q: Explain Composite Functions?

A: Given: Explain Composite Functions?

Q: Find the composition of functions

A: Explanation: We need to explain the process of how to find the composition of functions.

Q: What is meant by Constant function in reference to algebra?

A: If the value of a function if constant for all values of x, then it is called a constant function.…

Q: can an even function be selv-inverse?an odd function?

A: Can an even function be self-inverse?an odd function?

Q: is the function even, odd, or neither?

A:

Q: Does the following represent a function?

A:

Q: What is a function?

A:

Q: Can a function be both even and odd? Explain.

A: To check whether a function can be both even and odd.

Q: When functions are defined by more than one equation,they are called________ functions.

A: When functions are defined by more than one equation,they are called________ functions.

Q: What is an even function? An odd function?

A: What is an even function?

Q: Identify the key features of the given function.

A:

Q: what is the signum function?

A: Explanation of the answer is as follows

Q: Sketch the graph of the following functions by making table of values.

A:

Q: How does one find the domain of a composite function? I am not understanding the process

A: Composition of a function is defined as,

Q: This describe the value of a function as approaches to some value?

A: Since we know that limit of a function f(x) as x approach c, f(x) approaches x as approaches c.

Q: Does adding a constant term to a function affect the existence of an inverse function? Explain.

A: Does adding a constant term to a function affect the existence of an inverse function? Explain.

Q: what is the Best use of Functions in math?

A: Functions are described as relationship between two or more variables which relates each other in…

Q: When functions are defined by more than one equation,they are called ___________________ functions.

A: When functions are defined by more than one equation, they are called ___________________ functions.

Q: Discretise the same function tained previously.

A: Given,              ϕ=x(x-3.5)(x+3)+30

Q: Write the main ways functions are combined or transformed to form new functions?

A: If two functions are given then we can use the composition of functions to find the new composite…

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: Explain Even Functions and Odd Functions?

A: Even function: A function is even if the graph is symmetric about y axis. Or Consider f(x) is any…

Q: Explain what it means for a function to be (1) and give an example of such a function.

A:

Q: What do the Algebraic functions include?

A: An algebraic function include variables, constants and algebraic operations (such as addition,…

Q: Find, if they exist, the extrema of the function:

A: Given that  f(x,y) = x2+y2-1 Subject to x - y = 2 ⇒g(x,y)=x-y-2 Let us find  <fx,fy> Finding…

Q: Can this be a one to one function?

A: Defnition:  Let f:R→R be a function , if f is said to be one to one then every element in domain has…

Q: Consider the function below

A: The given function is,g(x)=xif x<17if x=12-x2if 1<x≤2x-2if x>2

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: What are the Algebraic Functions?

A: algebraic function

Q: Identify the relations which are also functions.

A:

Q: Is the given diagram below depicts a function or not? *

A: The given mapping is

Q: Explain the Algebraic Function?

A: The algebraic function is defined as a function that involves only algebraic operations like…

Q: Describe the Algebraic Functions?

A: A function involving only mathematical operations like addition, subtraction, multiplication,…

Q: Help on identifying the parent function

A:

Q: Sketch a graph of the function by first making a table of values. G(x) = |x| + x

A: Given: Gx=x+x

Q: Is the function one-to-one?

A:

Q: Sketch a rough graph of the function without using acalculator.   y=   -e-x

A: Given: y=-e-x

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: Determine whether the following functions have an

A: Given,        f(x)=x2-1

Q: evaluate the given function

A:

Q: What is the Horizontal Line Test for One-to-One Functions?

A: we have to define the horizontal line test for One-to-One Functions.

Q: The original and restricted functions are not the same functions.True or false?

A: Given, 'The original and restricted functions are not the same functions.

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…

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: