Example: Draw the graph for the function Y = x? in the interval | -2, 2] and then find (Df) & (Rf).

Q: g. Graph y = f (x) and y = f- (x) on the same coordinate system.

A: Consider the function  f(x)=x-2 Writing f(x) as y. Solving the obtained equation for x.…

Q: Using the graph of h(x), find h(2) + h(-1). -5-4-3-2-1 3 1- -1 -3 1 2 3 4 5

A:

Q: Sketch the graph of the function. f(x, y) = 6 − x2 − y2

A: this forma a circle

Q: 3. Using at least 3 points, graph the function f(x)=2*

A:

Q: Does lim

A:

Q: Sketch the graph and determine the domain and range. 1. y = 2 - x, for x 2-4 2. y= x? - 6x + 5, for…

A:

Q: Sketch the graph and determine the domain and range. 1. y = 2- x,for x 2-4 2. y=x-6x +5. for 1 sx< 5…

A: As per Bartleby guidelines rule I am answering only top 3 questions. Domain : The domain of a…

Q: Identify all x-intercepts of the graph of f(x) A.(0,-5) and (0,0) B.(-5,0)(0,0) and (4,0)…

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: 3x-x - Show that the function y= 1+x? odd or even.

A:

Q: The graph of the function f(x) = ax2 + bx + c has vertex at (1, 4) and passes through the point ( -…

A:

Q: sketch the graph and draw several vertical and horizontal traces. f (x, y) = 4 − x2 − y2

A: f(x,y)=4-x2-y2

Q: line to the graph of y = f(x) at a = 5.

A: Given: -The equation of the tangent line to the curve y = f(x) at the point where a=5 is y=9x-4. To…

Q: %24 Given the graph of y = f(x) on the left, graph the f Y. y=f(x).

A:

Q: 36. Write a function of the form y = csc (Bx – C) for the given graph. y 2- -2 -3

A:

Q: Use the graph to estimate the open intervals on which the function is increasing or decreasing. Then…

A: Given: y=-x+12

Q: Sketch the graph of y = f(x). е.

A: The graph of y=f(x) will be

Q: The graph of y=f(x) is shown below. Graph y=-f(x+3).

A: The graph is shown f(x) We have to find graph of - f(x +3) It is clearly seen that at every value of…

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: c. If A(x) = x² In(f(x)), what is the value of A'(2)? What does this result say about the behavior…

A:

Q: Graph of f(x) = LxJ

A:

Q: Suppose that the function y=f(x) is increasing on the interval (2,4). Over what interval is the…

A: The function f(x) is increasing on the interval (2,4)

Q: Use the graph of y = f(x) to graph the function g(x) = -f(2x)

A: Given graph of y=f(x):

Q: %3D Let X be the graph of f(x) = x2/3 given below

A: Follow the steps.

Q: The graph of y = f(x) is given below. Evaluate | f(x)dx 6+ 3- -1 -2 -3 -4 y = f(x) -6+

A: Application of integration

Q: Function p is in the form y ax+ c. If the values of a and c are both less than 0, which graph could…

A: Given equation ,   y = ax2 + c

Q: The graph of y = f(x) is graphed below. What is the end behavior of f(x)? %3D 250 200 150 100 50 -10…

A:

Q: Use the graphs of f and g to sketch the graph of y = f(g(x)). а. b. 4 -4 4 -4 -4 2. 2.

A:

Q: Determine whether the statement is true or false. If it is false, explain why or give an example…

A: the given function, f(x)=ex and g(x)=e-xhere , f(x)=exdifferentiate the f(x) with respect to x , we…

Q: Find the length of the graph of the function y /3-/3 on the interval [1, 8]. %3D

A:

Q: The graph of y=/(x) is given. Graph y=-f(x) + 1.

A: Graph is given of the function y=f(x).  We need to graph y=-f(x)+1

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: f y= f(x) is graphed below. What is the end behavior of f(x)

A: Here we have to determine the end behavior of the graph,

Q: y = f(x), 하 4- 3- 2 -5 -4 -3 --1 45

A: Definition used -               Horizontal shift -             The graph of a function f(x)…

Q: Consider the function graphed on the coordinate plane. y -2 2 -2 -5-Y Which sentence best describes…

A: Topic - functions and application of derivatives

Q: Illustrate the graph: A Y X 4. Prove whether the function f(x) = Vx – 2 is continuous interval [2,…

A: Given: f(x)=x-2 on interval [2,4]

Q: 9. Sketch the graph and determine the domain and range -x', x 2

A:

Q: 3. Use the graph below to write a linear function in y=mx +b form that relates y to x. 4. -4-3-2 -…

A: To find a linear function in y=mx+b form that relates y to x.

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: Over what interval is the graph of y = -x- 2| increasing? O A. (2, 00) B. (-00, 2) O C (-00,-2) O D.…

A: Graph is increasing when derivative is positive

Q: Sketch the graph of the function. y = −4 csc 3x

A: Given: y=-4csc 3x

Q: sform the graph of f(x) into that of 7) flz) = |x| g(x) = 2|x +1|

A: Solution:-

Q: Determine the vertex and the axis of symmetry of the graph of the function. rw) = Hx - 1)° + 2…

A: Given: The vertex of an up-down facing parabola of the form y=ax2+bx+c is xv=-b2a…

Q: | f()dt. Refer to the graph shown below to evaluate - 2 5- t-2 -4 7-4 -5-

A:

Q: 1. State the increasing and decreasing interval from the graph below: y= f(x)

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

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: 4. How are graphs of the functions obtained from the graph of ? (a) y=-f(x)          (b) y =2f(x)-1…

A:

Transformation of Graphs

The word ‘transformation’ means modification. Transformation of the graph of a function is a process by which we modify or change the original graph and make a new graph.

Exponential Functions

The exponential function is a type of mathematical function which is used in real-world contexts. It helps to find out the exponential decay model or exponential growth model, in mathematical models. In this topic, we will understand descriptive rules, concepts, structures, graphs, interpreter series, work formulas, and examples of functions involving exponents.