QUESTION 7 The y-intercept of f(x) = (x +2)² is QUESTION 8 Given A = 100(3) where A is the number of bacteria growth per minute and t is the time in minutes, then the number of bacteria after 5 minutes is

Q: A boat floating in the sea rises and falls with the waves. A sailor on the boat will also rise and…

A:

Q: 2. Aiden works at a discount store. He always works at least 12 hours per week, but often, he works…

A: Aiden works at a discount store. He always works at least 12 hours per week. but often he works…

Q: Problem 4. Differentiate the following function: 1 g(2) = x + g (x) =

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Q: Use your calculator to make the graph of f(x) = x³ - 5x. df (a) Is- positive or negative at x = 2?…

A: The given function is f(x)=x3-5x

Q: Question 3 Sketch the following function fully: €²-2²-1 y= ²-4 Upload Choose a File

A: Given function, y= (ex-x2-1)/(x2-4)

Q: Question 11 Given f (x) = -3x +7 , find f (a + b).

A: We have given function  f(x) = -3x+7 Put x = a+b f(a+b) = -3a+b + 7 f( a+b) = -3a-3b + 7

Q: Question 1: Find the dimensions of the rectangular corral producing the greatest enclosed area split…

A: Since there are multiple questions the first question is answered.Kindly repost with the question…

Q: What patterns are shown in this problem and describe whether these patterns can be generalized to…

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Q: The following graph shows the function f(x) = -(x-4)² + 16, which represents the rate (in feet per…

A: The givne function is f(x)=-(x-4)2+16

Q: Vanessa invested $11,500 into a fund earning 7.50% compounded monthly. He plans to withdraw $650…

A: 1) Total fund will be available after 5 years Just before first annuity withdrawal :   Amonut = P *…

Q: An object is launched into the air, and its trajectory is given by the following function f(x) = -8x…

A: Given that, an object is launched into air and its trajectory is given by f(x)=-8x2+114x-8. Obtain…

Q: Given the function P(t) = (t - 2)(t +3)(t - 7) its Pintercept is its t-intercepts are

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Q: Differentiate the function. y = 127x - 4 A y = 7In(12)127x – 4 В y = (7x – 4)12(7x – 5) %3D

A: Given: y=127x-4 we know that ddxax=axlna                                            ..1

Q: Find the function f whose graph has slope 2x2 + 4 df dx and which passes through the point (1, 1).

A: Given: The slope of the function is, dfdx=2x2+4x

Q: Question 7 <. Let f(x) = 5 – 8x + 3x. Calculate the following values: f(a) = %3D f(a + h) = f(a + h)…

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Q: Question 10- write the equation of the function

A: The given graph is:

Q: If f(x) = 3*** what does ft-2) equal? %3D

A: To find : f(-2)

Q: • Question 14 Given the function f(x) = 5 + 7x², calculate the following %3D f(a) = f(a + h) = f(a +…

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Q: 10y" 32y + 25.6y = 0 -

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Q: -5 -4 -3 -2 -1 3 4 -2 -3 -5 Complete an equation for the function graphed above y%3D !! Enter abs(x)…

A: Here it is given the point of the graph are: (-1, 4), (0, 3), (1, 2), (2, 3), (3, 4) Now we have to…

Q: The function j(x) = -5x - 100 is a linear function. For the following choices, match the…

A: Suppose, f(x)=mx+c is a linear function. Then, the slope of a line parallel to f(x) is m. The slope…

Q: Let f(x) = 125x. Find f(-1/3) (round your final answer to one decimal place).

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.