22) y=f(x-1)+2 6 6

Q: 8. The graph of y = f(- x) is a reflection of the graph of y = f(x) in the x-axis.

A: Authoring guidelines:…

Q: Sketch the graph of the function y=f(x)=1-x with domain [-1, 1] and range [0, 1]. Find the domain…

A: What is Domain and Range of a Function: For a function depending upon a single independent variable,…

Q: Use the graph of y = f(x) to sketch the graph of f'(x).

A: Transformation on a parent function can be used to find the graph of a derived function. If the…

Q: graph... f(x) = 2/3 |x-2|-8. show atleast 5 points for the graph.

A: The given function is: f(x)=23|x-2|-8...(1)

Q: Sketch the graph of g(x) = 2Vx + Vx. Support your graph by a table. %3D

A: i am providing the graph and tabular values in step 2

Q: 7. Sketch the graph g(x) = 3*+2

A:

Q: - 5. Sketch the graph of f(x)= x² – 5x + 6 using the Vertex and the X-intercept. Identify the axis…

A: Explanation of the answer is as follows

Q: Using the first and second derivatives, sketch a graph for y=3x^3-4x^2-2.

A: Solution: The objective is to graph the given equation y=f(x)=3x3-4x2-2

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: The average cost per hour in dollars, C, of producing x riding lawn mowers can be modeled by the…

A: (a) It is given that, the function is defined as -C(x) = 0.3x2 + 21x - 251 + (2500/x), where the…

Q: 4 -4 Correctly identify the end behavior of the graph of f(x). -2

A: From the graph it is easily seen that the function is continuous everywhere on R.

Q: 5.) Sketch the graph. f(x) = x³ + x² – x +1 %3D

A: The graph of a polynomial of 3 degree has at most  2 turns and 3 intersections with the x-axis. If…

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 – 5 is obtained from the graph of f (x) = |x| + 1.b) Describe how the graph of g (x) = -|x| Зх +…

A:

Q: Explain how the graphs of g and h are obtained from the graph of f. f(x) = x', g(x) = (x + 47, h(x)…

A: topic - functions

Q: 6) Discuss the concavity of the graph of ƒ (x) = x* – 2æ³ + 1 and find its points of inflection.

A:

Q: Use the graph of y = f(x) to graph y = f(-x) + 3. (0, 4) (3, 2) (-2, 0) 1- -4-3-2-1, 2 3 4 -2- -3.…

A: Given graph: y=f(x) We need to graph y=f(-x)+3

Q: The point (214) is on the Graph of y =f() The point on the graph of y-gl), where glx) = f(xt 7) IS?…

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: 3. Sketch the graph of f(x) = 2x2 – 5x – 6. Find all intercepts and the vertex.. %3D 10…

A: Given

Q: 6) Sketch the graph of f(x) = 2¬² +1

A: To sketch the graph

Q: The graph of y= {x) is compressed horizontally by a factor of reflected in the y-axis. What is the…

A: We have to find the equation of new function in terms of f(x).

Q: Use the function’s equation f(x) = -x2 + 14x - 106, and not its graph,to finda. the minimum or…

A:

Q: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: Exercises 65–70: Find the maximum y-value on the graph of y = f(x). 65. flx) = -x² + 3x – 2 66. f(x)…

A: 65). Given function is fx=-x2+3x-2. To find the maximum y-value on the graph of y=fx. Solution: We…

Q: The graph of y = f(æ) is given below. 3. 4 -3 - -1 2 3 4 5 1.

A: The given figure is,

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: Sketch the graph of y = f(2x) and y = f(½x), where f(x) = lxl + 1

A: It is given that, f(x)=|x|+1   and if y=f(2x), then the function will be, y=f(2x)⇒y=|2x|+1⇒y=2|x|+1…

Q: (a) On the same diagram, sketch the graphs of y=x and y = |2x−1|.

A:

Q: What's the relationship between (x)^1/2 and (x)^2? Based on their properties and graphs

A: whats the relationship between the given curve

Q: Describe how the graph of f(x)=-2sec(x-pi/3)-1 can be obtained from the graph of y=sec(x)

A:

Q: Show that the graph of y = f(x – b) is obtained by shifting the graph of y = f(x) to the right 3b…

A:

Q: How do I graph f(x)=a(x-h)^2+k (a does not equal 0) on the conditions a< 0, h=2 and the max value…

A: Given

Q: True or false? Explain. The graph of f(x)3D(-x)4 is a reflection in the x-axis of the graph of g…

A:

Q: Use the graph of y = f(x) to sketch the graph of f'(x). 10+

A: The given graph is:

Q: 6. Sketch the graph of f(x) = (x – 3)(x + 2) (x + 5) using the %3D zeros and end behaviours.

A: Solution is here

Q: 5. Sketch the graph of v: R ® R, v(x) = 2x² – 5x – 3, indicating the X- and y-intercepts, and the…

A: Given: v(x)= 2x2-5x-3.

Q: 16. Sketch the graph of f(x)=(4-x)(x+1)(x+3)*. Be sure to label all x- and y-intercepts.

A:

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

A:

Q: 39. Show that the graph of y = f(x – b) is obtained by shifting the graph of y = f(x) to the right…

A:

Q: V3 1, a -1

A:

Q: 2 Explain how the graph of y = -f(x - 2) compares to the graph of y = f(x).

A: The given function: y=-f(x-2) Parent function: y=f(x)

Q: Sketch the graph of f(0)= – 3tan(20)+1. %3D

A: To sketch the graph

Q: Explain how the graphs of g and h are obtained from the graph off. f(x) = x², g(x) = (x + 4)°,…

A:

Q: 6. What are all values of x for which the graph of y= 6r ++3+ is concave downward? %3D

A: To find All values of x where the given function is concave downward.

Q: The graph of y = f(x) is shown below. What is the graph of y f(x+ 1)- 2?

A: Given: y=fx+1-2

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: Use the function’s equation, f(x) = 2x2 + 12x + 703 and not its graph, to find; a. the minimum or…

A: The function is given as, fx=2x2+12x+703 a. Solve for the critical point as,…

Q: Sketch the graph of f(x) = xª – 2.x² + 7 using graphing strategy (analyze f, f' and f").

A: Consider the graph of f(x).

Q: Use the graph of f(x) 2 to sketch the graph of g. %3D g(x) = %3D

A: Given,         The graph of fx=2x2 is shown below :

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.