In the piecewise function below, what does y equal when x = 3? Note: Pay close attention to the <, > and < signs. - 2x + 4 1 y = { -x- 3 2x + 1 x<-1 -1 3

Q: The graph of f(×)=10x^3+8/13x^3 will behave like which function for large values of |x|

A: Given     f(×)=10x^3+8/13x^3               f(x)=10x3+813x3 So we want to know about the behavior of…

Q: Match the piecewise function with its graph. (2x-1, if x-1 A) B) 8 -6 -4 -2 C) D) -4 -6 -4 E) AB) -6…

A:

Q: Below is the graph of f"(x). For what values of x is f(x) concave up? 1S (x) + + -8 -7 -6 -4 -3 -2…

A: Topic:- Functions

Q: The graph of f(x)=-x -5x+6 has the point (2, -6) on it. O True O False

A: We can check the answer is true or false as below

Q: for the function below, the domain and the range is respectively -2+√1-x

A:

Q: Let f(x) = x- 3x

A: Given the function is

Q: etch the graph of the function by making a table of f(x) = 3X %3D f(x) = 3x -4 -2 4

A:

Q: Q4 Illustrate the graph for the piecewise function below; f(x) = (X + 2)² - 3< X < 0 | -2X 0 < X < 2

A:

Q: if x 2

A: Solve the following

Q: Given the graph of the function, determine the equation. Hint: base function is f(x) = Vx 8 10 (0,…

A: Given is a graph of the function whose base function is f(x)=x   To Find: The function for the given…

Q: From the graph of the function below, find the coordinates of all relative extrema y=x4-3x3+5x+1

A:

Q: Given the piecewise function below, which graph correctly represents f(x)? 2x x 0

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

Q: 10) Sketch the graph of the piecewise function below. (-x+31+5 x2 + 2 f(x) = x20 10

A:

Q: snip

A: Given: y=4fx is differ from the graph y=f4x

Q: Consider the following function: + 3x3 + 3x2 – 7x – 6 y x - 3 Find discontinuities and Maxima for…

A:

Q: find the points of inflection and discuss theconcavity of the graph of the function. f(x)=-x^{3}+6…

A: Given: The function fx=-x3+6x2-5, To determine: The point of inflection and concavity of the graph…

Q: From the graph of the function below, find the coordinates of all relative extrema. y=x4-3x3+5x+1

A: Given: y = x4-3x3+5x+1 To find: From graph of the function to find all coordinates of all relative…

Q: From the graph of the function below, find the coordinates of all relative extrema y =x- 4x + 9x + 1

A:

Q: Draw the graph of f(x)=3x+5  Give the domain of f(x)=3x+5    Give the range of f(x)=3x+5

A:

Q: 23. List the sequence of steps required to graph the function f (x) = -(x - 4)2 – 6 %3D

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: y=x^2, but is vertically stretched by a factor of 6.

A: Vertically stretching a parabolic function implies that the stretching factor should be greater than…

Q: The graph shows the function f ( x ) = x 3. What is the value of f − 1 ( x )  at x = 3?

A: The graph shows the function f ( x ) =x3 we have to find the value of f-1(x) at x=3

Q: Determine the points in which the function shifts from increasing to decreasing and vice- versa.…

A:

Q: The graph of f (x) = x² is horizontally stretched by a factor of 2, and then shifted to the left 4…

A: Given, fx=x2

Q: (-3 g(x)={-1 if -25xs2 (2 x<-2 2<x 10.

A: The given function is                           gx=-3,   x&lt;-2-1,   -2≤x≤2   2,    2&lt;x We have…

Q: Find the domain and range of the function without graphing f(x) = 2√x

A:

Q: Consider the following function. -5x- 10 ifx -2 Step 2 of 3: ldentify the general shape and…

A: Given function is

Q: For the graph off (x)(graphed below), what would the value of f' (x)have on the interval 1 < x < 4?…

A: Given that: Graph of f(x)

Q: Find the domain and sketch the graph of the function. f(x) = 2-0.4x

A: To find the domain and to sketch the graph of the function fx=2-0.4x

Q: Find the interval in which the following function is decreasing: 3 -1 1 -1 -2 -3

A: A function f is said to be increasing  if f(x1)&lt;f(x2) for x1&lt;x2 and x1,x2 belonging to the…

Q: Use a graph to find the range of the function f(x)=x2-9, on the domain -3≤x≤4.

A: Substitute the different values of x in f (x) = x^2-9 as shown below in Table 1.

Q: For the function f(x) whose graph is shown, what is the value of f(4)?

A:

Q: Find the domain and sketch the graph of the function.

A: To find the domain and to sketch the graph of the function fx=3-12x   if x≤22x-5   if x&gt;2

Q: Find the function f(x)=4x-5 if the domain is {-2,-1,3} what is the range

A:

Q: f(x) - 3x5 - 20 x3

A:

Q: Evaluate f( – 1) where f(x) is the piecewise function graphed below. 6 Of -3 -2 -2 -4- -5- f(– 1) =

A:

Q: Suppose that the graph of a function f is known. Explain how the graph of     y = 4f(x) differs from…

A:

Q: Find the points on the graph of the function that are closest to the given point. flx) = x2 - 6 -3)

A:

Q: Graph the functions f(x) = 2x and g(x) = 2x - 3 in the same rectangular coordinate system. Select…

A:

Q: The graph below is the function f(x) 5+ 4- -5 -4 3 2 -1 3 4 -4 2.

A:

Q: Find the domain and the range and sketch the graph of the function 3x+ (a)G(x)= x+9 - 2x if x 3…

A: the domain is the set of values that a function can take and the range is the set of values that a…

Q: Determine the end behavior of the graph of the function: f(x) = -3xˆ6 -2xˆ4 -xˆ3 + 9

A: Refer to the question , we have to find the end behaviour of the graph of the provided function.

Q: Get the coordinates and the graph of the piecewise function. f(x) = 2x + 1, if x ≥ 2 f(x) = x - 1,…

A:

Q: Produce a rule for the function whose graph is shown. -5 -4 -3 f(x) = -2 -1 54 4 3- 2 1 1 -2 7 -3-…

A:

Q: Which statement below describes the relationship between the graphs of f(x)= Inx + 2 and g(x) =…

A: Given,      f(x)= ln(x)+2      and     g(x) = 2ln(x)

Q: Q4 Illustrate the graph for the piecewise function below; f(x) = (X + 2)? - 3<X < 0 -2X 0 < X < 2

A:

Q: write the function whose graph is the graph of y= the square root of x but is vertically stretched…

A:

Q: х — 2 if x 2

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.