a) The graph of f(x)is given below. Sketch the graph of g(x) f(x+1)- 4

Q: Sketch the graphs of g and g 1. Then find the rule for g-x) g(x)=x2+2 (x 20) gx) =

A: Given function is gx=x2+2

Q: 1. Let X be the graph of f(x) = x2/3 given below

A: Sol

Q: 3. graph the ratlonai functiong f(x) = 7x+3_

A:

Q: The graph of r is given above. Which graph is a possible graph of F

A: Answer is mentioned below

Q: 2. Given the graphs of f(x) and g(x) as shown, find: ✓✓✓✓ a) f(g(0)) b) f(g(2)) 67. -20 -2-

A: f(g(0))=? f(g(2))=?

Q: The graphs of f(x) = x² - 4 and g(x) = x2 - 4 are shown. y 8 8 6 fx) = x -4 6 g(x) = x -4| 4 2 2 -2…

A:

Q: If g(x) = VF(x), where the graph of f is shown, evaluate g'(3). %3D

A:

Q: 1. Find all values of x where a) f(x) = 0, b) f(x) > 0, and c) f(x) 0 when c)f (x) <0 when

A:

Q: P2- Graph the fellowing functions. 4ー× xS f cx) 2 2 a- X + 2X メ>! Xく。 gcx) = b-

A:

Q: Sketch the graph of g(x) = (3 + 2x)/(1 + x) and state its domain.

A: given,       g(x) = (3 + 2x)/(1 + x)

Q: 11. Find the zeros, multiplicity, y-intercept, and end behavior of f(x) = x(x – 3)(x – 2) then…

A: To find- Find the zeros, multiplicity, y-intercept, and end behavior of fx = xx - 3x - 2 then sketch…

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: What is the domain and range of  a) g(x)= 4/x b) f(x)= (1/2)x3 + 2 c) f(x)= x+ √4-x2 Show all…

A:

Q: 2. Given the graph of f'(x), sketch a possible graph of y = f(x). Make your thinking clear using…

A: We have to draw the graph of f(x).

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: 7) Sketch a graph for f(x) 3 + 2-x

A: To plot the given function:

Q: The graph of f(x) = x* – 4x² is shown. Use this graph to sketch the graph of g(x) = |x* – 4x*|. -3 3…

A: Using the graph of fx=x4-4x2 we need to sketch the graph of  gx=x4-4x2

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: The graph of f(x) is shown below:

A: The given graph represent the function f(x).

Q: wich is the graph of f(x)=3

A: Given function, f(x)=y=3

Q: Use the graph of f(x) = 1/x2 to graph g(x) = 1/(x - 2)2 + 1.

A: fx=1x2, gx=1x-22+1 Now the graph of fx=1x2 is,

Q: 19. Determine the end behavior of the graph of f(x) = 3x4 + 2x - 5

A:

Q: Find an equation for the graph sketched below: 구 6- 43-2 6- f(z) =

A:

Q: If the graph of f(x) is given by 1 Then the graph of is

A: Gien a graph of some function f(x), the graph of the reciprocal function i.e. 1f(x) can be obtained…

Q: Given the graph of y = f(x) sketch the graph of f'(x) 2 -2 -2

A: Given: The graph of fx as follows:   To sketch: The graph of f'x

Q: If the graph of f(x) is given by Then the graph of f(-x)+2 is

A: F(x) is given

Q: 1. If the graph shown below is the graph of y= f(x), give the domain and range of y= - f(x+2)- 3.…

A: The domain of x is all real numbers. And range of f(x) is (-infinity , 0 ] y=f(x) moved 2 units to…

Q: Sketch the graph. 3+が g(4) ニ 3- f 1メ of

A: Given that: g(x)=3+x              if    x≤13-x              if         x&gt;1

Q: 6) Sketch the graph of f(x) = 2-ª +1 Show graph and a table of ordered pair solutions

A: Now  we will find the solution.

Q: . Here is a graph of f(x) = e² and a graph of g, which is for the function g.

A: Introduction: For a function f(x), When c is subtracted from x, then f(x-c)is known as horizontal…

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

A: Follow the steps.

Q: Use this graph of g to find the solutions to g(x) = 3.

A: To find: the solution of the g(x)=3 from graph.

Q: Sketch the graph of g(x) =6-2x-4 by transforming the graph of f(x) = Vx Label all the graphs drawn…

A: We have to sketch the given graph.

Q: Use the graphs of f and g to graph h(x) (f + g)(x). (Graph segments with closed endpoints.) y 3 2 1…

A: Finding the graph of (f+g)(x) from the conditions given

Q: 1) Discuss the concavity of the graph of f (2) = #* – 2æª + 1 Show Graph. and find its points of…

A: We can use the application of derivative in order to get the solution. Inflection point at…

Q: True or false: The graph of g(x) = √(x + 4) is the graph of f(x) = √x shifted horizontally to the…

A: we have to tell whether the given statement is true or false. Statement : The graph of g(x) = √(x +…

Q: Sketch the graphs of g and g-1. Then find the rule for g(x). g(x)=Dx2+2 (x20) 8(x) =

A: Inverse of function

Q: Sketch the graphs of g and g 1. Then find the rule for g-(x). g(x)=x2+2 (x20) gx) =

A:

Q: 5. The graph of f(x) = x² is given below. Graph -(x).

A: Given graph of function  , f(x)=x2, and we have to draw a graph of -f(x), For graph look at step 2

Q: Use the guidelines of the section to make a complete graph of ƒ.

A: The given function is f(x) = 1e-x-1

Q: Use the graph of f(x) = 5. to sketch the graph of g. %3D g(x) = %3D x - 8

A: Now, the center of g(x) shifted to 8x -axis. The graph of g(x) , curve will be drawn between the…

Q: If g(x) = x2 – 4, where does the graph of the g(x) cross the x-axis? Make a sketch of the graph.

A: Given g(x)=x2-4We know that x2 graph is a prabola

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)…

A:

Q: Describe the translation needed to obtain the graph of g(x) = 8*** from the graph of f(x) = 8*. ....…

A:

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 :

Q: The basic graph of f(x) = x2 is shown. Manipulate the graph of f(x) to display the graph of g(x) =…

A:

Q: Of (x-2)-3 Use the following graph of f(x) to sketch the requested graphs in parts a and b. B)f(-x)

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.