Use the techniques of shifting, compressing or stretching, and reflections to graph f(x) = - | x + 2 | + 3.

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

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Given, f(x)=6-xx

Q: Use the graph of f(x) = 2x to obtain the graph of g(x) = 2x - 3.

A: Given

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

A:

Q: Describe the concavity of the graph of f(x)=(x-2)5/3 And find the inflection points(if any)

A: See the attachment

Q: Draw the graph of f(x) – (x + 3)?

A:

Q: Use the graph of f to determine where a) f(x) > 0 and b) f(x) < Õ. -300-

A: a)  The solution set of ‘f(x)&gt;0' is the set of all values of x for which f(x) is positive.…

Q: Use point plotting to graph f (x) = x + 2 if x ≤ 1.

A: The given function is

Q: Sketch the graph of f.

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

Q: Sketch the graph of f(x) =x* – 3x³ +x – 3

A: Given function, f(x)=x⁴-3x³+x-3  Now f(x)=0 gives, x⁴-3x³+x-3=0 So,  x³(x+1) -4x²(x+1) +4x(x+1)…

Q: Describe the concavity of graph the of f(x)=(x–2)5/3 and find the points of inflection (if any).

A: We have to define concavity and find the points of inflection.

Q: use the graphs of f and g to graphh(x) = ( f + g)(x).

A:

Q: Sketch a graph of f(x) = – 1|x| %3D -

A:

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: let f (x) =ex-1+3 which is the graph of x?

A:

Q: Which transformation is used to obtain the graph of f(x)= -2X from grape of f(x) = 22?

A:

Q: Find the points of inflection and discuss the concavity of the graph of the function.

A: Consider the following:  Find first and second derivative:…

Q: Using only this information, sketch the graph. f (x) = 2x3 - 15x2 + 36x - 24

A:

Q: Analyze and sketch the graph of f(x) = x√(x2 + 2) .

A: Consider the function:

Q: Sketch the graph of the function. (3x + 3, X ≤ -1 k(x) = 3x²-2, -1 1 y

A:

Q: Using only this information, sketch the graph. f (x) = - 1/3x3 + 2x2 - 12

A: Given fx=-13x3+2x2-12

Q: Define the graph of the function f(x) = x^2?

A: fx=x2 x f(x) 0 0 1 1 2 4 -1 1 -2 4

Q: Using only this information, sketch the graph. f (x) = 1/9x3 - x2

A: Sketch the graph.     Fx=19x3-x2

Q: Sketch the graph of f(x) = x2 − 4x + 3. Identify the vertex and x-intercepts.

A: Use a graphing utility to sketch the graph of f(x)=x2-4x+3. Since the function is of second order;…

Q: hw does the graph shift from f(x)=2x to f(x)=2x+4

A: we have to determine how does the graph shift from f(x)=2x to f(x)=2x+4.   as we know that if we…

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

A: The given function is,

Q: Find the x- and y-intercepts of f and sketch the graph. Approximation of graph will suffice. 1) f(x)…

A: For x-intercept : put y = 0 and For y-intercept : put x= 0

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: Describe the concavity of the graph of f(r)-(r-2)/ and find the points of inflection (if any).

A:

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

A: To sketch the graph of the given function.

Q: Determine the point(s) at which the graph of -7x f(x) = 2x - 1

A: Given function is: fx=-7x2x-1 Differentiating f(x) with respect to x we get,…

Q: Using only this information, sketch the graph. f (x) = 1/3x3 + 2x2 - 5x + 8/3

A: The given function to sketch is -  f(x) = 13x3 + 2x2 -5x + 83

Q: Find the points of inflection and discuss the concavity of the graph of the function f(x)= x +…

A:

Q: Explain how the graph of f(x) = mx + b can be used to solve mx + b &gt; 0.

A: f(x)=mx+ b

Q: Describe the concavity of graph the of f(x)=(x-2)5/3 and find the points of inflection (if any).

A: Given query is to find the concavity and inflection points.

Q: y = (x +2)x² - 1

A:

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

A: The given graph is:

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

A: Given function f(x) - f(x) = 3xx2-1Let's first check where the function is defined, for the function…

Q: Sketch a graph of f(x) = – x + 2

A:

Q: Sketch the graph of f.

A: f(x)=4x-12x+3y=4x-12x+3to obtain  coordinates put x=0y=4x-12x+3y=4(0)-12(0)+3y=-13put…

Q: Use y-intercept, local extrema , interval of concavity and point of inflection to sketch the graph…

A: We have to sketch the graph using y-intercept, local extrema , interval of concavity and point of…

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 the function: f(x,y)=10-4x-5y

A: Given:

Q: Use the graph of f(x) = x2 to graph g(x) = (x + 3)2 + 1.

A: fx=x2 The graph is,

Q: Sketch the graph of f.

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

Q: The graphs of f (x) = 2" and g(x) = 3"- are shown. %3D

A: According to logarithm formula .

Q: How do you graph the function  f(x)= - (x+3)2 +1 Only by vertex?

A: Given information

Q: use graph f fX): 2* to sketch graph of transfirmedtil h (x) - Qx-3 %3D

A: The parent function is fx=2xTo sketch the graph hx=2x-3

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.