how does the graph of g(x) = 4x+5 compare to the funtion represented by the table below

Q: Describe the translation needed to obtain the graph of g(x) = 7X-9 from the graph of f(x) = 7*.…

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Q: Determine the points of inflection and discuss the concavity of the graph of f(x)=x^{4}-4 x^{3}

A: Given that the function  f(x) = x4 − 4x3. To determine the points of inflection and discuss the…

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

A:

Q: What is the effect on the graph f (x) = |3x -4| when it is replaced by f (x) + 3?

A: For tranformation of  f(x)→f(x)+a if a > 0  graph will shift a units up if a < 0 graph will…

Q: how is the graph g(x)=(x-6)^2-4 related to the graph of f(x)=x^2?

A: In this question transfomation takes place.

Q: The graph of y = 5(x) is obtained by a/an stretch of the graph of y = f(x) by multiplying each of…

A: Given graph is y=f(x).

Q: How is the graph of g(x) = (x - 8) 2 + 7 transformed from the graph of f(x)=x2?

A: g(x) = (x - 8)2 + 7 f(x) = x2 is the parent function. The function g(x) can be obtained by applying…

Q: How Is the graph of g (x)=x2+14 related to the graph of f(x)=x2? The graph of g (x)=x²+14Is the…

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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 fif 3x + 4 f(x) : 2x – 5

A: Given; fx=3x+42x-5 The graph of the given function is,

Q: Explain how the graph of f(x) = 2Vx – I + 3 is related to the graph of y = Vx.

A:

Q: 2. Describe how the graph of y = 2ƒ (²x) — 3can be produced from the graph of y = f(x). List all

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Q: True or false: The y-coordinate of the vertex of f(x) = 4x2 - 16x + 300 is f(2)._________

A: The given statement is true.Calculate the x - coordinate for the of the vertex for the given…

Q: Suppose that the x intercepts of the graph of y=f(x) are -5 and 3. What are the x intercepts of the…

A:

Q: Illustrate the shape of the graph f(x) = x^n where n is a positive integer?

A: We have the given function We need to be able to graph the function.

Q: True or False If the discriminant b2 - 4ac = 0, the graph off1x2 = ax2 + bx + c, a ≠ 0, will touch…

A: Given if b2-4ac=0

Q: 8. What is the vertex of the graph of the function g(x) = (x + 2)2 - 6 ?

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Q: How can the graph of f(x) = -(x -1 ) 2 +6 be obtained from the graph of y = x 2?

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: Determine the points of inflection and discuss the concavity of the graph of f(x) = x4 − 4x3.

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Q: 8. True or False The graph of f(x) = 2x² + 3x – 4 opens up.

A: The quadratic function, fx=ax2+bx+c If a < 0 then the graph of f(x) is open down and if a > 0…

Q: 8. Use the graph of f(x) = 2x2 – 5V2x + 3 to sketch the graph of f (x) – 3. %3D

A: We need to plot: f(x)-3 with the help of f(x) = 2x2-52x+3 This is a transformation of f(x) and…

Q: Explain how the graph g(x)=|x+2– 2 is obtained from the graph of f(x)=|x|

A: Given data:   *The function g(x) is g(x)=|x+2|-2. *The function f(x) is f(x)=|x|.   The general form…

Q: 56. Explain how the graph of f(x) = mx + b can be used to solve mx + b >0.

A: The graph of fx=mx+b is a straight line with slope m and y-intercept b.

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

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Q: Explain why x = -2 is not a vertical asymptote of the graph of f(x) : * + 7x + 10 x + 2

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Q: why does the graph of y=square root(-1-x) move by 1 to the left instead of to the right? I thought…

A: Consider the given function:

Q: 7. ( ) Find the x-values for the inflection points on the graph of ƒ (x)=x² .2*. %3D

A: Given function :

Q: What is the vertical asymptote of the graph f(x) = x/x^2-9

A: The given equation is, fx=xx2-9

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

A: f(x)=mx+ b

Q: Where does the graph of fx equal 3e^x-x/2 have a horizontal position

A: A function takes a horizontal position at a point where x=a if f'(a)=0.

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: Draw the graph of f(x) = 6" – 4 -

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

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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

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Q: My graph of f(x) = 3 . 2x shows that the horizontal asymptote for f is x = 3.Determine whether the…

A: Consider the given function as fx=3·2x

Q: How does the graph of f () = a²compare to the graph of g (2) = (x + 2)² – 7? The graph of 9 (æ) is…

A: Shifting of graph

Q: how can the graph of f(x)=1/(x-9)^2 + 7 be obtained from the graph of y= 1/x^2 ?

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Q: Sketch the graph of f.

A: Given :                 f(x) = 5x+33x-7

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: 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: explain how the graph of the funtion f(x)=-7/x2can be obtained from the graph of y=1/x2 then graph f…

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Q: explain how the graph of the funtion f(x)=-7/x2can be obtained from the graph of y=1/x2 then graph f…

A: the base function is y=1x2 the graph of y=1x2 is reflected over the x-axis so the new function is…

Q: What is the slant asymptote of the graph of f(x)=(10x^2-4)/(2x)? Give your answer in the form…

A: Slant asymptote occurs when degree of polynomial in numerator is of higher degree than that in…

Q: The profit function for a company selling x units of a certain commodity is given by P(x) = -1500 +…

A: We have to solve given Questions

Q: how is the graph of g(x)=x³+2 related to the graph of f(x)=x^3

A: The graph of  x3 and x3+2 are related to each other.  Both the graphs work in same sense but graph…

Q: 6. What are the end behaviors of a graph of f (x) = 3x +x3 +x6 + 2? a. Rises to the left and falls…

A: Note: We are allowed to solve one question at a time so kindly upload remaining questions as next…

Q: suppose that the x-intercepts of the graph of y=f(x) are: -7 and 2  what are the x-intercepts of the…

A: The x intercepts of the graph, y is given 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.