How can you find the values of x for which f(x)=3 using the graph? what points do you look for?

Q: Try It Problem #2: How does the value of h affect the graph of f(x)= 2xh? Compare the graphs of…

A: Given graph is: It is the graph of y=fx=2x

Q: Consider the function f(x)=(x+1)(x–1)2,   At what value of x will the graph of f cross the y-axis?…

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Q: Use the graph of y=f(x) to answer the following. 3+ 16 -2 -1 -2- -3-

A: we can find the values of 'x' for f(x) with the help of the graph.

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: What is f(0) = on the graph and f(?) = 0?

A: Graph of f(t) is given.

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

A:

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

A:

Q: Given the graph of y = f(x) below, find the value f(-4). 1 -5 -4 -3 –2 1 2 3. Provide your answer…

A: The graph passes through the point (-5,4)

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: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: The given function is, R=-14x3+3x2+8 The interval is 0 ≤ x ≤ 8

Q: Find the point of diminishing returns for the function, where R is the revenue (in thousands of…

A: Given that: Rx=-14x3+3x2+8,        0≤x≤8…

Q: The graph of y = -f(x) is obtained from the graph of y = f(x) by reflecting in the__________ .

A: A vertical reflection reflects a graph vertically across the x-axis, while a horizontal reflection…

Q: How does the graph of f(x)=(x-9)'-3 Compare to the parent function gx) = x". |

A: Given, f(x)=(x-9)4-3 g(x)=x4

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: The graph of y = -f(x) is the graph of y = f(x) reflected across the -axis.

A: Known fact: The graph of y=-fx can be obtained by reflecting the graph y=fx across the x-axis.

Q: Given the Graph of the Function: f (x), explain how to obtain the graph of g (a) = -f (x+ 5) +1

A: Given that: Graph of f(x).

Q: (a) How is the graph of y = f(x – 3) + 2 obtained from the graph of f? (b) How is the graph of y =…

A: Let the given graph is f(x). (a) To obtain the graph of y=f(x-3)+2 First, horizontally translate the…

Q: For f(x) = (x +3)² – 4 (a) Give the domain and range (b) Give the coordinates of the vertex (c) Give…

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Q: What's the relationship between (x)^1/2 and (x)^2? Based on their properties and graphs

A: whats the relationship between the given curve

Q: 2. For the questions on this page, use the graph of f(x), below. 3- |-7--

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

A: f(x)=mx+ b

Q: The graph y=f(x) is graphed below. What is the end behavior of f(x)?

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Q: In the attached picture of the graph, 1. What is the y-intercept? 2. Find f(4) 3. Where does f(x)…

A: Horizontal line is x-axis Vertical line is f(x)-axis

Q: Use the graph of y = f(x) given above to find: a) f(-1) = b) f(-3) =

A: We have to find the following values using the given graph.

Q: Given the graphs below, what is the possible value of g(x) in terms of f ( x )? f(x) 8(x)

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Q: 2.For the graph provided, state whether the leading coefficient is positive or negative, the degree,…

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Q: The graph of y=f(x)= ^3 √x -9 is horizontally stretched away from the y-axis by a factor of 3 to…

A: Given: y=f(x)=x3-9 To determine: Equation of new function when the graph is horizontally stretched…

Q: Use the graph of g to solve: For what value of x is  g(x) = 1?

A: The graph of function is given.

Q: What is the number e, and how is it defined? What are the domain and range of ƒ(x) = ex? What does…

A: The number e is the base of the natural logarithm and its value approximately equals to 2.71828. The…

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

A:

Q: Graph the function f(x) 3° and g(x)-3-x on the same set of axes. How does the graph of g(x) compare…

A: To draw the graph of the function f(x) = 3x, find the value of the function at different points to…

Q: How does the value of a affect the graph of y = ax? Discuss the case for a 1 and for 0 s a s 1.

A: When a >=1  Graph will shrink towards y axis that is value of y increases more rapidly When 0…

Q: f(x)=x^4+5x, find f'(x). What is the graph?

A: Let the function f(x) is given as  f(x)=x4+5x   To determine: The derivative of the function f(x)…

Q: For what values of x is the graph of y = e concave down?

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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: The graph of y = f(x) is shown below. What is the graph of y f(x+ 1)- 2?

A: Given: y=fx+1-2

Q: Sketch the graph of the following fu f(x) = (x + 3)4 he correct graph below OC.

A:

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

A: Shifting or change in the graph of the function f(x) is done by adding, subtracting, multiplying,…

Q: The graph of F(x), shown below, resembles the graph of G(x) = x2, but it has been stretched somewhat…

A:

Q: To obtain the graph of f(x) = (x – 3)3 +7, shift the graph of y = x³ to the right units and up…

A:

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: what are the steps to graphing  f(x)=e^(-x/2)

A: Steps to graphing an exponential function: 1. Draw the graph of the general exponential function. 2.…

Q: Use the graph of y =f(x) to graph the given function. 4- -5 -2 3 -4 y = -f(x) 3. 2. 1.

A: Consider the figure y=fx, which is given below From the above figure, y=x+3 if −4<x≤−12…

Q: Given the graph of y = f(x) below, what is the range of y = f(x) – 2?

A: The graph of y=fx is given. We have to determine the range of y=fx-2

Q: Try It Problem #2: How does the value of h affect the graph of f(x)= 2x-h? Compare the graphs of…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 2. Find the value of k if the graph of k f(x) = 3x? has a point of inflection at x = -1.

A:

Q: The graph of f(x)=x^2 rises or falls to the left? And does it rise or fall to the right?

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.