Determine the domain and range of g1x2= x2 - 1/ x - 1 . Sketch a graph of g.

Q: Explain how the graph of g is obtained from the graph of f. x-5 %D

A:

Q: What kind of symmetry does the graph have if f(-x) = - f(x)?

A: If f(-x) = - f(x), then the function is symmetric about the origin.  For example:

Q: Sketch a graph of f(x)

A:

Q: Sketch the graph of f.

A: fx=-4x-22 Since the denominator is zero at x=2, therefore it has the vertical asymptote at x=2.…

Q: Sketch the graph of g if (3x + 4)(x – 1) g(x) (2x – 5)(x – 1)

A: Given, gx=3x+4x-12x-5x-1

Q: Sketch the graph of f.

A:

Q: Which one is the graph of ​f(x)=x2​? What is its​ domain?

A:

Q: Sketch the graph of f.

A: We have to sketch the graph of function: fx=35x Since this is exponential function therefore its…

Q: Sketch the graph of the function.

A: Sketch the graph of the function. g(x)=x-1

Q: sketch a graph with key points indicated. g(x)= 2x^3+1 f(x)= -(x+3)^2 h(x)=1x-41+1

A: Given function-  g(X)= 2x^3+1  f(X)= -(X+3)^2  h(X)= | x-4 | +1

Q: Explain why the graph of a nonzero function is never symmetric with respect to the x-axis.

A: To be symmetric about the x-axis. We must have points of the form (x,-y) when (x,y) is on the…

Q: Draw the graph of f(x) – (x + 3)?

A:

Q: endpoints

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

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

Q: Sketch the graph of f.

A: Given                               f(x)=(x-1)x3-4x…

Q: Draw the graph of f(x): 3 1

A:

Q: Sketch the graph of f.

A: Given- fx=4x2x-5 To draw- The graph of the above function.

Q: Sketch the graph of g(x) = 2Vx + Vx*. Support your graph by a table as in the lecture.

A:

Q: Graph the function defined by g(x) = |x + 2|.

A: Given function is, gx=x+2. Graph the absolute value using the vertex and few selected points.   x…

Q: Sketch a graph of the function by first making a table of values. g(x) = x2 + 2x + 1

A: gx=x2+2x+1⇒gx=x+12 When x=-2, g-2=-2+12=1 When x=-1, g-1=-1+12=0 When x=0, g0=0+12=1 When x=1,…

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

A: Given, gx=3x-2

Q: Sketch the graph of f.

A: fx=3x-4 Since denominator is zero at x=4, therefore vertical asymptote is x=4. Since the degree of…

Q: Use the graph of f'(x) to identify the graph off (x). 6

A: Given graph f'(x) The graph is of the function is of the form  f'(x)=4x+122-2.5 To find f(x)

Q: Sketch the graph of f(x)= x2 + 1

A: Given Data The equation of the graph is fx=1x2+1.   The graph of the equation fx=1x2+1 is,

Q: Find the domain and sketch the graph of the function   g(x) = |x| -x

A: Given: gx=x-x first we simplify given function if, x≥0 then x=x and if, x<0 then x=-x so,…

Q: Sketch the graph of the function. h(x) = 5x−2

A: hx=5x-2 Let us find the points on the given function by arbitrarily choosing the values of x. When…

Q: Sketch the graph of f(x) = 6**4

A: It is given that                        F(x)=6x+4 Now we want to draw the graph of F(x) So we will…

Q: Sketch a graph of f(x) = – 1||

A: Given function is                                              f(x)=-|x|=-x; x≥0x   ; x≤0

Q: How does the graph of g(x) = 4x + 5

A:

Q: Use the graph of f(x) = |x| to graph g(x) = – |2x|.

A: To obtain the graph of y=-|2x| from that of y'|x| by using a sequence of transformations

Q: Sketch the graph of f (x) = 3 x +1

A: The given function is,

Q: Sketch the graph of f.

A: Given: fx=2x+12 For drawing graph of given function, we use graphing utility  So, graph of given…

Q: Sketch the graph of f(x) = (x + 1)^3(x−1)^2

A: To sketch the graph of the given function.

Q: Is the point (4, 14) on the graph of the function g(x) = (x2 + 4)>(x + 2)?

A: Given inequality is: gx=x2+4>x+2 Given point is (4, 14).

Q: sketch a graph of f(x)=-2x+1

A:

Q: Sketch the graph of the function.

A: the given function is: hx=5x-2 we have to sketch the graph of the given function.

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: Suppose that G(x) = F(x-4). Which statement best compares the graph of G(x) with the graph of F(x)?…

A: We have to use simple transformation rules to find out the answer

Q: Consider the graph of f(x) = 2x-1.

A:

Q: Sketch the graph of f.

A: The graph of ax is an exponential graph, and all sorts of transformations can be applied to this…

Q: Sketch a graph of f(x) = – x + 2

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Q: Draw the graph of f(x) = 6" – 4 -

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Q: Explain how the graph of g is obtained from the graph of f. f(x) =x², g(x)=x² +2

A:

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

A: we will first derivate the function and equate it equal to 0 we have…

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

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Q: Sketch a graph of: f(x) = 2|x + 2| – 3

A:

Q: Sketch the graph of f.

A: A function can be graphed by plotting some points on the function and then joining them with a…

Q: sketch the graph of f(x) = 2x and label two-point.

A:

Q: Sketch the graph of f.

A: Given, f(x)=3-x2

Q: Use the graphing guidelines to make a complete graph of f. f(x) = x3 - 20x? + 100x Choose the…

A:

Q: Sketch the graph of f if f(x) x - 2

A: Given function is fx=1x-2

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.