Use a graphing utility to construct a table of values for the function. f(x) = (1/5)-x  The  second questionmakea table x     -2    -1     0    1      2 f(x)         x −2 −1 0 1 2 f(x)

Q: Find the horizontal intercepts of the function f(x)=3|x−3|−7

A: Horizontal intercept:  The place where the graph of y=f(x)  meets the x axis.

Q: A second baseman throws a baseball toward the first baseman 60 feet away. The path of the baseball…

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Q: Find the minimum or maximum value of the function f (x) =-2x² + 8x +7. Describe the domain and range…

A: For maxima and minima put first derivative is equat to zero and find point of maxima and minima If…

Q: Find the domain of the function f(x) = (x+4)/(x2-9)

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Q: For the equation of h(x)=-10x^4-9x^2-8x+8; x=-6 Evaluate the function for the given value of x

A: The function is given by hx = -10x4-9x2-8x+8 To evaluate: The value of the function at x =-6

Q: Find all x-intercept f(x)=x2-18x+75 the x-intercept (s) is/a

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Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

A: We have to find intervals

Q: Let h(x)=f(x)+g(x). If f(x)=6x and g(x)=3x2, what is h′(−1)?Do not include "h′(−1)=" in your answer.…

A: we have to find derivarive of h(x) at x=-1

Q: 3. a) Determine algebraically whether the function f(x) = –3x° + 4x² is even, odd, or neither. b)…

A: Please find attachment for the details solution

Q: The function f(x) = -2.32x2 + 76.58x - 559.87 models the percentage of U.S. students, f(x), who are…

A: Quadratic equation are those equation in which highest power of the equation is 2 and it has two…

Q: The profit function P(x) = -x + 20x2 – x gives a company's total profit (in millions of U.S.…

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Q: function

A: Y-intercept:-The y-coordinate of a point where a line, curve, or surface intersects the…

Q: The function ​A(x)=​x(x+2​) describes the area A of the opening of a rectangular window in which the…

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Q: x2 - 4x - 12 x +2 Find f'(x), f"(x), and f (x) for the function f(x) =

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Q: f(x)=-5x g(x)=8x^2-5x-9 find (f*g)(x)

A: f(x)= -5x  g(x)= 8x2  - 5x -9

Q: the zeros of the function. f(x) = x4- 6x³ - 6x2 +96x - 160 zero: 3+ i

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Q: The function f(x) = -2.32x2 + 76.58x - 559.87 models the percentage of U.S. students, f(x), who are…

A: f(x)=-2.32x2 + 76.58x - 559.87 12≤x≤17We have to find x when f(x)=70

Q: Find the interval(s) where the function is increasing and the interval(s) where it is decreasing.…

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Q: Write the function in f(x) = a(x − h)2 + k form. Determine the vertex and the axis of symmetry of…

A: Given function, f(x)=5x2+30x+46

Q: In autumn, the leaves on a large maple tree change colour and fall off the branches. The first day…

A: If you like the solution then please give it a thumbs up.. The Answer is :      Result:         y =…

Q: Use the characteristics of the given function to graph the function and it's reciprocal on the same…

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Q: 3x-8 4. Find the domain of the function g(x)=- V3x+8

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Q: Let f(x) = 5x-1 and g(x)=x² + 4. Find (fog)(-3). Then (fog)(-3) = (Simplify your answer.)

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Q: The function 4x f(x) = 100 - X models the cost, f(x), in millions of dollars, to remove x% of…

A: fx=4x100-x Put fx=16, we get ⇒16=4x100-x⇒16100-x=4x⇒1600-16x=4x⇒20x=1600⇒x=80

Q: Let f(x) = – 3(x + 4)* (x – 4)1º(x + 5)" - Part A. Explain and demonstrate how to determine the…

A: A) Given is an algebraic function with no poles,  Hence, domain is  x∈(-∞,∞)

Q: Identify the function as a power function, a polynomial function, or neither. Explain how you…

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Q: The function f(x) = 15,000(0.88)x represents the value of a car over x years. What is the most…

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Q: f(x) = x² – 9x + 14. (a) For which values of x is the function f(x) positive? Enter your answer…

A: The detailed solution is given below Thank you

Q: Find all relative extrema of the function. (If an answer does not exist, enter DNE.) f(x) = x4 − 8x3

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Q: Find the vertex and axis of symmetry of the graph of the function. f(x)=x2+4x

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Q: Find the domain of f.  f(x) = x - 4/(x - 8)(x + 8)

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Q: Find the x intercepts of the function f(x)=5|x-3|-3 (pleaes show steps)

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Q: 7x -1 Given f(x) = x+7 1 and g(x) = . What is g(f(x))? A gf(x)) = – x 7x B g(f(x)) = X+7 7x-1 ©…

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Q: x³ + x2 lim 2x3 - 7x2 is The value of the function f(x) = %3D

A: Introduction :

Q: The Mexican subsidiary of ThermoMaster manufactures an indoor-outdoor thermometer. Management…

A: The given profit function is

Q: Let h(x)=f(x)+g(x). If f(x)=x4 and g(x)=6x3, what is h′(−3)?Do not include "h′(−3)=" in your answer.…

A: The problem concerns addition law for derivatives of functions:

Q: 4. -x-5 for -5sxS-2 f(x) = -x² + 1 for -2<x< 2 (x- 3)° + 2 for 2sx54 Find the following values:…

A: We are authorized to answer three parts at a time, since you have not mentioned which part you are…

Q: dentify the stationary points for each of the following functions. Determine whether they represent…

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

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Q: f(x) = -5-8 g(x) = -3x² - 6x - 2 Find: f(x) g(x)

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Q: Find the domain of the function  H (x)  = 2x + 3 / x³ - 4x

A: Domain of a function: The domain of a function f(x) is the all values of x, where the value of f(x)…

Q: Find the value f(3) for the function f(x)=√(6x+5)

A: The value f(3) for the function f(x)=√(6x+5)

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x) =  1 x2 + 3x − 4

A: The given function is f(x)=x2+3x-4

Q: An apartment complex has 100 two-bedroom units. The monthly profit (in dollars) realized from…

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Q: The diagram shows a sketch of the function f(x) = 4x - 9x2- 12r+ 3. diagram not to scale (a) Write…

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Q: > 3x-7 -? √√2x+5 23 What is the domain of f(x)=- x²-7 (24) What is the domain of f(x)=- x² +1

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Q: 5. Two sailboats are traveling along the same path away from a dock, beginning from different…

A: Distance travelled = speed X time

Q: The profit function for a certain commodity is  P(x) = 170x − x2 − 1000.  Find the level of…

A: Given data:     The given expression for the profit function is: P(x)=170x-x2-1000.   The expression…

Q: A factory makes rectangular boxes. The area of the top surface can be modeled by the function.…

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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.