Sketch the graph of a function f having the given characteristics.

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 a graph of the function f(x) = ∛4x and determine whether it is even,odd, or neither. Verify…

A:

Q: Sketch the graph of a function f for which f(0)=0

A: f(0)=0 We need to sketch the graph of the given function.

Q: Sketch the graph of the following piecewise function

A:

Q: Sketch the graph of the function of f.

A: Topic:- function

Q: The graph of a function f is given. On the same axes, sketch the graph of f1.

A: To draw f-1 we follow following steps: First we draw the line x=y Graph of f-1 is reflection of…

Q: What is the domain and range of f from the graph above?

A: Consider the given graph.

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: If a function f is an even function, then what type of symmetry does the graph of f have?

A: The function f is an even function.

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

A:

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

A: Given function: k(x)=-x3 Substitute the value of x=0,1 -1 2 and -2  At x=0, we get k(0)=-03k(0)=0

Q: Sketch graphs of the following functions by hand.(a) f(x) = x2 (b) g(x) = x3

A: (a) Given function is fx=x2. List the coordinates for above function as in below table. x fx=x2…

Q: Sketch the graph of a function f for which f ' (0)=3

A: Given: f'0=3 To sketch: The graph of function f with the given property,

Q: is there an easy way to determine what function, on a graph is f, f' , and f''

A: I have given an answer in step 2.

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

A: We can create graph of an equation by plotting points to the XY  coordinate system using the…

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

A:

Q: Sketch the graph of a function f for which f ' (1)=0

A: Given that: f'(1) = 0 To find: We have to sketch the graph of a function f for which f'(1) = 0. Let…

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: A graph of a function f is given below.

A: Given that: Graph of f(x)

Q: Let f(x) be the function graphed below.

A: Given data:   The given graph.   The expression for the inequality is, f(x)≤2 The value of x when…

Q: Sketch a graph of the function f(x) = −9 and determine whether it is even,odd, or neither. Verify…

A: We have the given function as fx=-9          ⋯⋯1 From the equation (1), we can conclude that for any…

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: Sketch the graph of the function defined by the formula 0, x<-1 f(x) = /1- x² ,-1< x < 1 x 2 1

A: Given function, f(x)=         0  ,           x≤-11-x2 ,      -1&lt;x&lt;1        x  ,           x≥1

Q: Sketch a graph of the function. f(x) = 1 - 9x

A:

Q: Consider the function f(x) whose graph is shown below.

A: From the given graph we can conclude that: (a) limit of f(x) as x tends to (-3) is 1. (b) Since the…

Q: Draw the graph of any function f (x) that passes through the point (3, 2).

A: Consider the function  f(x)=x-1. Put x=3. f(3)=3-1=2. So the graph of the function passes through…

Q: Assume that (a, b) is a point on the graph of f. What is the corresponding point on the graph of the…

A: The point on the graph of f is a, b.

Q: Analyze and sketch a graph of the function f(x)= 1+x

A: We have the given function as fx=x31+x3         ⋯⋯1 As we know that, if the degrees of the numerator…

Q: draw a graph of the function below.

A:

Q: Sketch the graph of a function that satisfies all the given conditions.

A: We have to sketch a graph satisfying the given condition.

Q: Sketch the graph of the function. Be sure to label three points on the graph. f(x) = x2

A: fx=x2

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

A: g(x)=3(1.3)x

Q: Let f be a function whose graph is given below.

A: Here we have the graph of the function f(x).

Q: What is an appropriate domain for this function?

A:

Q: Sketch a graph of the function by first making a table of values. f(x) = -x2

A: To sketch the graph of the function: f(x)=-x2. Solution: f(x)=-x2 Substituting,x=0,we get…

Q: Sketch the graph of a function that satisfies ALL the following properties:

A:

Q: Which of these describes the range of this function?

A: The given graph is the graph of modulus function.

Q: Which of the following is an even function?

A:

Q: Sketch the graph f', assuming f is the function graphed below.

A:

Q: Sketch the graph of a function that satisfies the following conditions

A: Given

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

A: The given mapping is

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: If every horizontal line intersects the graph of a function f at no more than one point, then f is…

A: Given statement: If every horizontal line intersects the graph of a function f at no more than one…

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

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

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: Use the graph of the function f to find approximations of the given values

A: The given graph  is,

Q: Draw an accurate graph of the function (a

A: Given: The function f(x)=3-56x To find: The graph of the  given function.

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.