The monthly sales for January for a whole foods market was $60,000 and has increased linearly by $2500 per month. The amount in sales f(x) (in S) is given by f(x) = 60,000 + 2500x, where x is the number of months since January. x – 60,000 - is the inverse of f. 2500 a. Determine if the function g(x) = b. Interpret the meaning of function g in the context of this problem.

Q: Find the slope of the graph of the function at the given point. f(x) = 4(9 − x)2;    (9, 0)

A: Given,  The function is f(x) = 4(9 − x)2;    (9, 0).

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Q: Determine whether the equation x2 + y2 = 1 defines y as a function of x.

A: The given equation is x2+y2=1. This implies that,

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

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Q: The projected population of the United States for the years 2025 through 2055 can be modeled by  P…

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Q: Suppose f is a linear function such that f(4) = 8 and f(7) = 2. Find the equation for f.

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Q: Suppose that f is a linear function with slope -3 and that f(2) = 8. Find the equation for f. f(x) =

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Q: A concert hall has a maximum capacity of 4050. When the ticket price is $31.00 the average…

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A: Take x=2. g(2)=22=4. Take x=-2. g(-2)=(-2)2=4

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A: Please see the below picture for detailed solution.

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Q: Write the function defined by y=f(x),subject to the condition of the value of f(x) is 16 times the…

A: The function defined by y=fx , subject , to the condition of thevalue of fx is 16 times the value…

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Q: Graph the function using translations. f(x) 3*+1 4

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Q: Express the gross salary G of Jackie, who earns $15 per hour, as a function of the number of hours…

A: topic - functions

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A: Given, Investigate when, historically, the use of the function notation y=f(x) first appeared.

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Q: Write a function that reflects f（x）= 2x^3 + 1 across the x-axis and shifts it 3 units down.

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Q: The elevation of a valley above sea level (in feet) is modeled by the function f(x, y) =…

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Q: If g(x)= 3x²-1 and h(x)= 5x+2, which function will give (goh)(x) ?

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Q: 1² – 1 f(r) : 1² + 4°

A: We have to sketch the curve of given f(x)

Q: What is meant by linear function in reference to algebra?

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Q: Let f be a linear function. If f ( 2 ) = 13, and f ( 12 ) = 8, what is the value of f ( 10 ) ?

A: Given : f be a linear function. f2 = 13f12 = 8

Q: Use the graph of f(x) = x3 to write an equation for the function represented by 1 3 (a) g(x) = %3D y

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Q: Determine whether the equation x2 + y2 = 16 defines y as a function of x.

A: x2+y2=16 On simplification, we get y2=16-x2⇒y=±16-x2

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Q: Determine whether the equation x2 + y2 = 25 defines y as a function of x.

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A: This is an absolute value function , so for two values of x we will find same value of y.

Q: Determine whether the equation x + y2 = 5 defines y as a function of x.

A: Our Aim is to determine whether the equation x+y2=5-(i) defines y as a function of x.