2. (MG 8, Section 5 Purple). For the three exercises below, use a graph and the Horizontal Line Test to determine if each function represents a one-to-one function. Explain your reasoning. (a) f(x) =x² +3x+2 (b) f(x) =x³ – 5x+10 (c) f(x) =x³ +5x+10

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Q: 1. Sketch the graph of the function: 2x2+ f(x) = 3x-5

A: To sketch the graph of the given function.

Q: Consider the function y = 2/x+2+4. what are the domain and range of the function? Show your work.

A: Given query is to find the domain and range of the function.

Q: Discuss the Functions of more than two Variables?

A: Functions of Two Variables The definition of a function of two variables is very similar to the…

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A: Given To find x-value when y-value is given using excel.

Q: What is the effect on the graph of the function f(x)= √1/2x when f(x) is replaced with f(x)+2,A,B,C,…

A: Substitute f(x)+2 in place of f(x).

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A: So In this we have to follow the basics to calculate extreme values , I'm providing you the…

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Q: f (x) = (x + 1)³ (x – 3)² 2

A: Given: f(x)=(x+1)23x-32

Q: The graph of function f(x) = x³ 6x2 + 9x + 1 is concave upward on (-∞, 2) (-0, 0) (2, оо) о (-2, 2)

A: f is concave up when f''(x) is greater than 0

Q: When a company charges p per unit, it can sell 100 − 2p units. What is the revenue function?" I'm…

A: Given that:-price per item=punits of item sold=100-2pTo find: the revenue function

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Q: The graph of f(x)=3x is reflected about the y-axis and stretched vertically by a factor of 4 . What…

A: Given,         The graph of f(x)=3x is reflected about the y-axis and stretched vertically by a…

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…

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A: Solution

Q: How is the graph of f (a)= (x - 4)° transformed from its parent function?

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Q: Find the slope of the graph of the function at the given point.

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A: We have to find the equation of new function in terms of f(x).

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Q: A sales team estimates that the number of new phones it will sell is a function of the price that it…

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Q: Describe the relationship between the graph of ​f(x)=x2−2x+4 and the graph of y=x2

A: To determine: Ther relation between the graphs of given two functions. Given equations:…

Q: linearization

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Q: What is the effect on the graph of f(x)= x when g(x)= + 4?

A: when you add +4 in function  e.g f(x)=x g(x)=f(x+4)=x+4

Q: Differentiate the function. 35 G(x) = Vx° - 2x G'(x) =

A: Answer

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Q: 2. Is this a graph of a function? Explain your y reasoning. (abr 6. 4

A: Topic:- function

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A: The given function:

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A: Given;

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A: Let's find.

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Q: Xi 2 3 Yi 2.4 5 9 Find a function f(x)=ae* that best fits the data.

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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.