-5 -4 -3 -2 -1 1 2 3 4 5 -2 -3- -4- -5+ Write an equation for the function graphed above y = Enter abs(x) for x|

Q: 2x + 6 if z 2

A: Consider the given function, For the interval x ≤ -3 it is the line f(x) = y = 2x + 6. To draw a…

Q: what is the equation of the following linear unction f(x) through the points (-5, -2 and (7,-3)

A:

Q: -(x) u'00-x n(x) = -2(x-3)(3x-2)°(r+4) Determine the end behavior of the graph of the function.

A: We will use limit to find the results

Q: x - -00, f(x) → -00 x + +00, f(x) –→ +0 03. Which graph has the end behavior given. А. В. С. D. Both…

A:

Q: 4- 2 -6 -5. -4 -3 -2 -7 2 3 4 5 -2 -3 -4 -7 ++8+ Write an equation for the graph above. f(x) = to 3.

A:

Q: 2x + 5 if z 1 8 7- 5- 4+ 3- 2+ 8 -7 -6 -5 -4 -3 -2 -1, i 2 3 4 5 6 7 8 -2- -3- -4- -5- -6- -7 -8

A:

Q: -x + 4 if x 5 2. Graph the piecewise function: f(x) = {x - 1 | y 7- -3- -5- -7-+ -8-

A:

Q: [x²+2 |Q3/ Graph the function y= x (1< x< 4). x+2

A: 3.) We have to graph the function  y = x [ (x2 + 4)/(x + 2) ] for x in [ 1, 4 ].

Q: 4. Graph the functionx +y =-4. 10 8 -6 -8 -10 -10 -8 4. -2 0 2 4 6 8 10 X+y =-4

A: We will solve the following

Q: The domain of the function y f(x) from the given graph is y=f(x) 0. (a) (-4,6) (b) [-4,6] (c) [-2,3]…

A:

Q: 3 Graph the equation f(x) = - I + 4. 4 4 2- -5 -4 -3 -2 -1 1 2 3 4 5 -1 -2 -3 3.

A: This question is about graphing the line

Q: 1. What does it mean to say that the equation +y 6ry defines y as an implicit function of r? %3|

A:

Q: 5. A point on the graph of y = f(x) is (3, 5). The corresponding point on the graph of y = f(3x) is:

A:

Q: - 2x – 4 if 4 -8 -7 -6 -5 -4 -3 -2 -!, 3 4 6 -2 -4 -5- -7 -8- Clear All Draw: 2. 4-

A: The given function isf(x)=-2x-4if x≤-22if -2&lt;x≤42x-7if x&gt;4

Q: (a) Graph f(x) = 3 x for x < 0. (b) Graph g(x) = 2√√x for x ≥ 0. (c) Graph r(x) = 3|x for x < 0 2√x…

A: Consider   a)      f(x)=3x      for x&lt;0b)      g(x)=2x      for x≥0c)       r(x)=3x          for…

Q: Here is the graph of y = 2x – x². 2- 1- -5 -4 -3 2 3 4 y -1- -2- Find two possible functions f(x)…

A: We need to find inverse function.

Q: Find the equation y = f(x) passing through the points (-11-21), (1,15), (2,12) and (3, 3)? Find also…

A: We will use the Lagrange interpolation method. We have: x x0=-1 x1=1 x2=2 x3=3 y y0=-21 y1=15…

Q: 2) Graph f(x) = ()* xy 2 1 0 -1 -2 Fill in the table of values, then graph points and curve.

A: We have to solve above graph curve

Q: (1-x, Q10/ Graph the function f(x)={2-x. 12-x, 1<x<2

A:

Q: 5. Graph the function: f(x) = {,2 s-4x – 3 for x < 0 for x 2 0

A: Note: As per Bartleby rule, only one question can be solved at a time. So, kindly post other…

Q: 2) Graph f(x) = (x x y 2 (²= 1 0 -1 -2 Fill in the table of values, then graph points and curve.

A: We have to solve above graph

Q: Find an equation for the level curve of the function f(x,y) that passes through the given point.…

A:

Q: 4. Graph the equation: f(x): = 1, -2x + 4, -2, -3≤x≤0 0 ≤ x ≤ 3. x > 3 -1 5+ 44 3- 2+ +1 -1- -24 -3-…

A: This is a graph of piece wise function

Q: 3. Use the graph of y = f(x) to graph y = -f(x – 4) – 1. 3 y= f(x) -3/2-1 3 45

A: From the given function: y=f(x) It is plot the graph for y=-fx-4-1 from the given graph of f(x).…

Q: S-x +5 if x < 2 1. Graph the piecewise function: f(x) = 2x - 2 if x2 2 %3D y -7 -5 -B -구 23

A: The given function is, Sketch the graphs of the functions f(x) = –x + 5 for x &lt; 2 and f(x) = 2x…

Q: 24. Graph of f' y 8+ x- x+ 3 3 -2 -1 1. -4+ 4.

A:

Q: 1,0

A: For the domain and range we see that it is a straight line, so the domain will be the set of…

Q: ( ') Find y as a function of x if y"-3y"-y' + 3y = 0, y(0) = 5, y'(0) = -9, y"(0) = -27. y(x) =

A: As Per Bartleby Answering Guidelines We Solve Only First One Problem

Q: Function h is graphed. ← -4 -3 -2 -1 Find ["h(2) dz. [²h(z) dz = [ Y 4 3- 2+ 1 -1 -2- -3- -4 h 1 2 3…

A: The given graph is:

Q: 4. Graph the equation: f(x) = -3, 4, 1/² x + 1²/₁ x<-2 -2 ≤ x ≤ 1 1 < x≤ 4 -3 - 5+ 4+ 1 + 3+ 2+ 1…

A: f(x) = -3 , x &lt; - 2 x -3 -5 -7 f(x) -3 -3 -3 f(x) = 4 , -2 ≤ x ≤ 1 x -2 0 1 f(x) 4 4…

Q: 1. Graph the function h(x) = (x + 1)2 + 2. Plot the point (1, 2) on your graph.

A:

Q: -0.5x - 4 if x 2 -7- 6- -2- -8-7 -6 -5 43 -2- 2 3 6 7 -2 -3- -6- -8- Clear All Draw:

A: The given function defines a piecewise defined function.

Q: The graph of y = f(x) is given. 6- 5 4 3 2 6-5-4-3 -2 -1 -3 -4 -6- 1 2 3 4 5 6 a

A:

Q: -7 -6 -4 -3 -2 -4 -5 -6 -7 -- Given the graph of y = f(x) (drawn in blue) and y = g(x) (drawn in…

A: If the graph of f(x) lies above the x-axis for the values of a&lt;x&lt;b, then, f(x)&gt;0 for…

Q: 3x – 2 if r 3

A: Given  Equation of a graph in three intercepts. We need to solve the equation and plot the graph in…

Q: The graphs of x = 4, y = f(x) (s

A: Volume =∫ab A(x) dxA(x) = π[(Outer radius)2-(Inner radius)2]

Q: Identify the function shown in this graph. y 4 3 2 -5 -4 -3 -2 -1 1 2 3 4 5 -1 -5 О А. у- Зх- 2 O B.…

A: We have to find the equation of line

Q: 3 Graph the function y =x-3. 10 8. 4. -2 -6 -8 -10 -10 4 -2 2 4 6 8 10 ? y = -x-3 4

A:

Q: (x-4)(x-3)²(x+4)² how to graph the function f (x) (x+2)(x+5)²(x-3)

A: We have to graph the function                                               fx=x-4x-32x+42x+2x+52x-3

Q: (a) Graph f (x) = -2 x for x 0. -2 x for x <0 (c) Graph r (x) = 2x for x20

A: To Determine: graph  a) fx=-2x  for x&lt;0 b) gx=2x  for x≥0 c) rx=-2x  for x&lt;02x for x≥0…

Q: Sketch the graph of the function. [√x if xs-1 X if -1 2 y -4 O -4 -2 -2 41 2 2 -4 -2 2 -4 -2 2 x (

A:

Q: X+3 is x² -9 The y-intercept for the function f(x)= O (0, -3) 0, O (0, 3)

A:

Q: y 8, f(x) -6-5-4-3-2–1 1 2 3 4 5 9 10 -2kb -3 Match the functions with its graph 1. a) y = - f(x-4)…

A: 1) a)  y= -f(x-4) y= f(x) ---&gt; y = -f(x) , the graph of y= f(x) will be reflected about x axis…

Q: f(x) = (x + 4)² – 3 - f(-2) Graph f(x) if x <-2

A:

Q: 7- 6- 12 -6 -5 -4 -3 -2 4 -2 -6- -7 -8- Write an equation for the graph above. f(x) = to

A:

Q: (-x – 5 x < -2 x -1 -2 < x < 2 -+3 2<0 Graph f(x) = 4 3 2 1 -6 -5 -4 -3 –-2 -1 -1 1 2 3 4 5 6 -3 -5…

A: given,

Q: 6. Graph f(x) = Vx + 2-3 4- 3- 2- 1- -3 -1- -3- 4- -5+ -6+

A:

Q: x² + 1, x 2

A: First we shall plot fx=x2+1 Considering x≤-1 Points shall be: x -1 0 y -2 5 Graph is:

Family of Curves

A family of curves is a group of curves that are each described by a parametrization in which one or more variables are parameters. In general, the parameters have more complexity on the assembly of the curve than an ordinary linear transformation. These families appear commonly in the solution of differential equations. When a constant of integration is added, it is normally modified algebraically until it no longer replicates a plain linear transformation. The order of a differential equation depends on how many uncertain variables appear in the corresponding curve. The order of the differential equation acquired is two if two unknown variables exist in an equation belonging to this family.

XZ Plane

In order to understand XZ plane, it's helpful to understand two-dimensional and three-dimensional spaces. To plot a point on a plane, two numbers are needed, and these two numbers in the plane can be represented as an ordered pair (a,b) where a and b are real numbers and a is the horizontal coordinate and b is the vertical coordinate. This type of plane is called two-dimensional and it contains two perpendicular axes, the horizontal axis, and the vertical axis.  

Euclidean Geometry

Geometry is the branch of mathematics that deals with flat surfaces like lines, angles, points, two-dimensional figures, etc. In Euclidean geometry, one studies the geometrical shapes that rely on different theorems and axioms. This (pure mathematics) geometry was introduced by the Greek mathematician Euclid, and that is why it is called Euclidean geometry. Euclid explained this in his book named 'elements'. Euclid's method in Euclidean geometry involves handling a small group of innately captivate axioms and incorporating many of these other propositions. The elements written by Euclid are the fundamentals for the study of geometry from a modern mathematical perspective. Elements comprise Euclidean theories, postulates, axioms, construction, and mathematical proofs of propositions.

Lines and Angles

In a two-dimensional plane, a line is simply a figure that joins two points. Usually, lines are used for presenting objects that are straight in shape and have minimal depth or width.