What is the definition of an even function?

Q: Sketch the graph of the function. Be sure to label three points on the graph. f(x) = 1/x

A: Given f(x)=1x x=1 ⇒f(x)=11=1⇒(1,1)x=-1 ⇒f(x)=1-1=-1⇒(-1,-1)x=2 ⇒f(x)=12=0.5⇒(2,0.5)x=-2…

Q: Sketch the graph of the function of f.

A: Topic:- function

Q: What is the input value in a function?

A: Input values

Q: What is a piecewise function?

A:

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: Make a function that violates Clairault's Theorem. Explain why it does. Show how you got it.

A:

Q: What is the range of this function?

A: We have to find the range of the function from the given graph.

Q: Give an example of continuous function?

A:

Q: 10. Identify three characteristics to the graphed function of f (x) = (÷) +1.

A:

Q: What is an even function? How can you tell that a function is even by looking at its graph? Give an…

A: Even function:  A function is even when the condition for all value of x. if the graph sees, the…

Q: Give an example of Piecewise-Defined Functions?

A: By a piecewise defined function, a function of the form

Q: What does it mean if a function f is increasing on an interval?

A: Let the given function be y = f(x) And the interval be I.

Q: Sketch the graph of a function f such that:

A:

Q: What is the graph of a real-valued function of a real variable?

A: What is the graph of a real-valued function of a real variable.

Q: Give Definition of Odd 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: Give an example to explore numerically how a function behaves near a particular point at which we…

A: Solution: Consider y = f(x) = 1/x is the function Since at x = 0, this function is going to be…

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

A: What is an even function?

Q: what is the domain of the function f(×)=(×+1) ?

A: If y=f(x), then the variable x is called the input of the function, and y is called the output of…

Q: Give the formula of even function?

A: To give the formula of the even function.

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: Sketch the graph of the function. Be sure to label three points on the graph. f(x) = x

A: Graph of the function fx=x & label three points on the graph.

Q: Sketch the graph of the function and state its domain.

A: The domain of a function is set of all values on which a function is defined. The range of a…

Q: x 3.

A:

Q: Explain how to determine whether a function is continuous at a number.

A: Given: Condition of whether a function is continuous at a number

Q: Outline a method for locating the relative extreme points of a function.

A:

Q: Find the domain of the function. (interval notation)

A:

Q: What is the domain of the function shown in the graph below?

A:

Q: What is the domain of the function graphed below?

A: Using the graph we can conclude than the domain of the function is [-5,α]

Q: 5. What is odd and even function?

A: We have to define odd and even function.

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

A: f(x) = 2x

Q: What is the function rule for the graph. below?

A: Consider a line passes through two points with coordinates  x1,y1 and x2,y2. The equation of the…

Q: How to distinguish an Even function from an Odd function and the relationship between them.

A:

Q: Sketch a graph of the piecewise defined function.

A: Given function, f(x)=1         if  x≤1x+1    if  x>1

Q: What are the even Functions and Odd Functions?

A:

Q: Can a function be both even and odd? Give reasons for your answe

A: We know

Q: Is there a function whose graph is symmetric with respect tothe x-axis? Explain.

A: If a graph is symmetric with respect to x-axis for a point (x,y) lying on graph if and only if…

Q: What is the rangqe of this function?

A: The given graph of the function is:

Q: Sketch the graph of the function:

A: As per our guidelines we are supposed to answer first 3 subparts of the question. Kindly repost…

Q: Is this function Discrete, continuous, piecewise, or linear?

A: as we can see here graph does have scattered points so the given function is not Discrete. now, as…

Q: Sketch a rough graph of the function without using acalculator.   y=   5x - 1

A: We have to Sketch a rough graph of the function without using a calculator.           y=   5x - 1

Q: Sketch the graph of the function by making a table of values. Use a calculator of necessary.

A: The given function h(x) is an exponential function with the constant multiple. Substitution of some…

Q: What is the criteria for a relation to be a function?

A: This question is related to relation and function, we will solve it using given information.

Q: Sketch the graph of the function. Be sure to label three points on the graph. f(x) = 3

A: f(x) = 3 =>  y = 3 It's an straight line.

Q: Explain why it is useful to know about symmetry in a function.

A: We need to explain the importance of the symmetry in a function. Function can be symmetrical over…

Q: Sketch a graph of the function by first making a table of values.

A: C(t)=1t2

Q: Use the guidelines to sketch the graph of the function. f(x)==-₁

A:

Q: Give Definition of Even Function ?

A: A function fx is said to be the even function if it satisfies the condition as, f-x=fx, for any…