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

Q: Find the optimal solution for the following function using the graph method? Min Z= 3X1 + 4X2 ST…

A: Given, Min Z=3x1+4x2          subject to X1+X2≤2                            X1+2X2≤5…

Q: The graph of y = 5(x) is obtained by a/an stretch of the graph of y = f(x) by multiplying each of…

A: Given graph is y=f(x).

Q: neath the graph of f(x) = 7x³ about the y-axis ov

A:

Q: Graph g(x) and –g() -9() from g(x)? on the same axes for the x-interval x E [0, 5]. How did you get

A: we have to get the graph -g((5-x)/2) from g(x)

Q: Sketch the graph of y = f (x + 2) − 1, where f (x) = x2 for −2 ≤ x ≤ 2.

A: To sketch the graph

Q: The graph of y = 5f(x) is obtained by a/an _______stretch of the graph of y = f(x) by multiplying…

A:

Q: Graph the function

A: The graph of the function f(x)=1-x is shown on the board:Some of the point aref(x)=1-xyx=-3,…

Q: It is the graph of f' (x). y = f'(x) 3+ 1 -1- -3+ 5. 3. 1.

A:

Q: How can the graph of f(x) = -(x -1 ) 2 +6 be obtained from the graph of y = x 2?

A:

Q: The graph of g(x) = logs(-x) is the graph of f(x) = logsx reflected about the %3D

A: We can plot both the graphs to see thatThe blue curve represents the equation y = log5(x) and the…

Q: Let f(x) = -0.4x² + 6x-12. Find the x-coordinate of the vertex. Round your answer to 2 decimal…

A:

Q: 2. Given the graph of y = f(x), sketch the graph of y =-f(x+1).

A:

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: The graph of f(x) = x2 – 7 is horizontally stretched by a factor of 4.5. Write the equation…

A: Here the graph of f(x)=x²-7 is horizontally stretched by a factor of 4.5.  We want to write the…

Q: х3 — х2 — 12х x - - Sketch the graph of y = f(x) | ,2 x* - х — 2

A:

Q: 2. Graph the function: f(x) = S 3x 3x if x < -1 (2x +1 if -1 < x < 3 -2+ -3+ -5+ -6+ -7+ -8+ -9+

A:

Q: What is the smallest value for a such that (a,0) is an x-intercept for the graph of…

A: If point a,0 is an x-intercept for the graph of fx=4x3+11x2-8x-15, then it must satisfy the…

Q: V: Sketch the graph at: a) Jex)= X3 6) fex X x2-1 3/ x4.

A: a) fx=x3x-22b) fx=xx2-1c) fx=x2-123-x43

Q: x2 - 9 f(x) = %3D x2 + 4x + 3

A: Given fx=x2-9x2+4x+3

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

A:

Q: 2. How does the graph of f (x) =- Vx+4 – 3 differ from the graph of y = - VX?

A:

Q: 9. Find the points of inflection and discuss the concavity of the graph of the function h(x) = x(x -…

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Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1.

A: The given function is fx=3x. The graph of the function as shown below:

Q: Use the graph of f(x) = 3x to obtain the graph of g(x) = 3x-1

A: Given: fx=3x, gx=3x-1 for drawing graph of given gx, first we simplify gx so, gx=3x-1=3x.3-1=3x3

Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? (b) How is the graph of y =…

A: Let the given graph is f(x). (a) To obtain the graph of y=f(x-3)+2 First, horizontally translate the…

Q: Graph f(x) = -3cos(-nx) – 1 by Key Points method.

A:

Q: If f(x) = 3x^2 − 7 and g(x) = 2x + a, find a so that the graph off ◦ g crosses the y-axis at 68.

A: Given

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

Q: 3. Briefly describe the characteristics of the graph of y = f(x) that can be deduced from each of…

A:

Q: of its graph. Be sure to label the x-values of five key points: x, = +1() = %3D x3=D +2(종) = %3D x,…

A: Angle

Q: The point (2,-4) Is on the grauph of y= f(x) The point on the graph ot y- g(x),where gx)= 2€k) 1s?

A: That is,

Q: What is the easiest way to graph f(x)=1/1+e1/x?

A: Choose the some values of x and then find the values of f(x) for corresponding x values.

Q: How is the graph of y = f(x+2) – 1 obtained from the graph of y = f(x)? %3D

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: For the function f(x)=x3-3x what is the local maximum and where does it occur? what is the local…

A:

Q: 1. Sketch the graphs of the following functions: N(a) y=x² y= 3x2 y = 4x y =-3x ² y=-4x2 y=ー ー=へ)…

A: Since you have posted question with multiple subparts , we will solve the first three subparts for…

Q: g(x) = −2x + 5 over the restricted domain D = [−3, 2]. Graph.

A:

Q: 9. Graph the piecewise function: 2 xS-1 h(x) = { x' -1<x< /2 %3D 43

A: We have to graph the function.

Q: F

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Q: 4. a) Sketch the graphs ofy=f(x) = -2(x – 3)2 + 2 and y=g(x)= 4x – 10 on the same set of axes. b)…

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Q: Use the given graph of y = f(x) to solve graph g(x) = f(x - 1) + 1.

A:

Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? %3D (b) How is the graph of y…

A: Shifting or change in the graph of the function f(x) is done by adding, subtracting, multiplying,…

Q: The graph of function f(x) = x – 9x² + 7x is concave upwards on (-0, c0) O (-∞, 3) O (3, 0) O None

A: Given function is  f(x)= x^3 - 9x^2 + 7x

Q: 2. Find the value of k if the graph of k f(x) = 3x? has a point of inflection at x = -1.

A:

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

A:

Q: у 1 0 1 T 1 X

A:

Q: Is the graph of g(x)=4x^3+9x^2+7x+3 concave up or down at the point with x-coordinate −2?

A:

Q: Use the graph of 5 x %3D x² + 4 to approximate the values of x that satisfy y > 1.

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.