Restrict the domain of (x) = x² + 5 to x>0. Use a graphing utility to graph the function.

Q: Sketch the graph of the function. (4 - x2, x < -2 h(x) = 5+ x, -2 <x < 0 %3D 2+1, x 2 0 y

A: Given : for x &lt; -2 it is parabola opens downward as  sign of x2 is negative: for [-2, 0) it is…

Q: Sketch a graph of the function f(x) = x* – 4x' + 5

A: Given: fx=x4-4x3+5

Q: Find the inflection points of the function f (x) = x3 - 3x2 + 5, and explain why the graph has the…

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Q: What is the natural domain of the function f (x) = /5 – x?

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Q: Plot five points on the graph of the function f(x)=(1/2)^x

A: f(x) = (0.5)x Because 1/2=0.5

Q: What is the end behaviour for the function f(x)=-3logx

A: The given function is f(x)=-3log x

Q: Sketch the graph of the function f(x) = 1 - 2(x - 3)2.

A: Sketch the graph of the function f(x) = 1 - 2(x - 3)2. the function can be rewritten as…

Q: Find where function is increasing and decreasing, and graph the function. f(x)= x4-10x3-33x2+90x+216

A: The given function is

Q: Find the point of inflection of the graph of the function. f(x) Exvx + 6

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Q: What are the local extreme values of the function f(x) = x - 3x² + 2?

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Q: Sketch the function  f(x)=-x3-3x2

A: A function is given by, fx = -x3-3x2. The objective is to sketch the given function.

Q: Find the domain of the function (using interval notation). 2x - 5 f(x) : х2 +х — 6

A: The set of the values of x for which the value of y is real is called domain of the function

Q: Describe the end behavior of the graph of the function f(x)=5(4)x−4.

A: The given function is fx=54x-4=20x-4. It is a linear function which is part from the family of…

Q: Determine where the graph of the function f (x) = x³ – 6x² is concave upward and concave downward.

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Q: Sketch the graph of the following function 3x2 f(x) = x2 – 4 -

A: Given: f(x)=3x2x2-4

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

A: Consider the function:

Q: Sketch the graphs of the functions f and g. (x) - -x? + 2x + 2, g(x) -x + 2

A: Given data:   The expression for the first function is f(x)=-x2+2x+2. The expression for the second…

Q: sketch the graphof the function.f(x)=3^{-x^{2}}

A: we have to sketch the graph of f(x)=3^{-x^{2}}

Q: Sketch the graph of the function and state its domain.

A: The domain of a function is set of all values on which a function is defined. The range of a…

Q: Find the oblique asymptote of the function f(x)=(3x²-4)/(x+3)

A: The equation of the function is fx=3x2-4x+3

Q: For what value of x does the function g(x) = -x – 2x? attain the point of inflexion?

A: i have used the necessary and sufficient condition for point of inflection and obtained x=2 is…

Q: Find the domain of the function using interval notation. f(æ) = 2x + 5 -

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Q: Find the domain of the function. (interval notation)

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Q: 6) f(x) = 4 .

A:

Q: Sketch a graph of the function by first making a table of values. r(x) = 3x4

A: Consider the given function. rx=3x4 x -3 -2 -1 0 1 2 3 rx=3x4 243 48 3 0 3 48 234

Q: Sketch the graph of f (x) = xex .

A: Solution : Consider the given function;' f(x) = x ex We have the graph of ex

Q: Use graphing technology to find the domain of the function f (x) = Vx +3.

A: the domain is [-3,inf)

Q: sketch a graph of the function f(x)=2|x-4|-2

A: We can sketch the graph of the function by taking necessary points as below.

Q: Examine the graph of the function f(x) 10x+3x-12r. %3D

A: Given f(x)=10x3+3x2-12x

Q: Differentiate the function 7) a) f(x) = - 2

A: Here we have to find the derivative of the given function.  Here we use some standard formula of…

Q: Consider the function f(x) = х — 2 х — 4 -

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Q: How can I tell if a graph is the function of x?

A: HOW TO: GIVEN A GRAPH, USE THE VERTICAL LINE TEST TO DETERMINE IF THE GRAPH REPRESENTS A FUNCTION OF…

Q: Find the domain of the function. f (x) = /-x+8

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Q: Find the domain of the function V5 +4x f(x) = x2 – 36 and write your answer in interval notation.…

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Q: Sketch the graph of f(x) = (x – 8)*(x + 5)"(x – 1)²(x + 3)6

A: Zeros: -5, -3, 1, 8     For higher even powers, such as 4, 6, and 8, the graph will still touch and…

Q: Determine the end behavior of the graph of the function. 1 f (x) = -x°- 2x* -x° +7 As x - -00, f (x)…

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Q: Describe the concavity for the function f(x) = x³ – 3x.

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Q: Differentiate the function. f(x) = x - 6x + 3

A: Given: fx=x5-6x+3

Q: Find the domain of the function : √(x+2)

A: Given function is fx=x+2

Q: Sketch the graph of the function f(x): = 2x-3 x²-4

A: The function is  f(x)=2x-3x2-4

Q: Sketch the graph of the function f(x) = x³ – 2x² – 5x + 6 using calculus – based analysis. -

A: Given problem:- Sketch the graph of the function f(x) = x3 – 2x2 − 5x + - 6 using calculus - based…

Q: Find the domain of f(x) 10 - x

A: To find the domain of f(x)=610-x Solution: We know ,A rational function is defined for all values…

Q: Find the points of inflection and discuss the concavity of the graph of the function. f(x) = x√(9 −…

A: The function is given as x9−x In order to find the inflection point and concavity, second derivative…

Q: How many points of inflection does the function f(x)=x8-x2 have?

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

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

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Q: A smart phone manufacturer is able to produce 500 amount of phone a day. If the profit for daily…

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Q: Sketch the graph of the function f(x) = x. %3!

A: We know that the function f(x)=x3 maps positive numbers to positive and negative numbers to…

Q: Find the points of inflection of the function f(x)=x2lnx.

A: Inflection points are the points at which second derivative is zero. So differentiating f(x) with…

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.