For the piecewise linear function, find (a) f(-3), (b) f(-1), (c) f(0), (d) f(3), and (e) f(5). if x< - 1 3x f(x) = X-2 ifx> -1 (a) (-3) =| (b) f(-1) = (c) (0) =| (d) f(3) = %3D (e) (5) =|

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Q: Stuffco Industries makes model airplanes and wants to know their average cost and revenue at a…

A: Definition used-             Average cost -                          C-(x)=C(x)x           Average…

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Q: What is the linear function for y=-3/4x+3

A: Let's find.

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Q: what is the linear function for y=-x+2?

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A: Two lines with slope m1 and m2 are perpendicular to each other if m1m2=-1 Given: m(x)=4x+48 Let the…

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A: fx=x+4

Q: f the profit function for a product is  P(x) = 6400x + 80x2 − x3 − 220,000  dollars, selling how…

A: The profit function is: P(x)=6400x+80x2−x3−220000

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A: The extremum value of a real-valued function is determined through differential calculus. It is one…

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Q: Let f and g be linear functions with equations f(x) = m1x + b1 and  g(x ) = m2x +b2. Is f ° g also a…

A: The given linear functions are fx=m1x+b1    and  gx=m2x+b2. This implies that,…

Q: Suppose that f is a linear function with slope 4 and that f(2) =  4.   Find the equation for f and…

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Q: Maximize f(x, y) = 18 - x2 - y2, x + y - 2 = 0.

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A: Given: f(x) = mx + b, f(4) = 4, slope = -8

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A: Given Function f f(x,y)=14-x2-y2 on line x+2y=5We need to find the maximum value For the line…

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A: Proceed as shown...

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Q: Q4) Find the linearization of: f(x) = x³ + 10 when a = -3

A: l(x)=f(a)+f'(a)

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A: Given  cost function   C(x) =200+7x+0.0001 x2and demand   p(x) = 11-0.0004x

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A: From the given information:The product exchange function for gasoline x and heating oil y is:

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A: It is given that c(x)=50x+150 and R(x)=-0.5(x-110)2+6050.

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Q: Find a possible formula for the linear function h(x) if h(-30)=90 and h(20)=-10

A: This question can be solved using the concept of general equation of linear function.

Q: The total daily profit (in thousands of pesos)of a certain food company for the sale of ... x boxes…

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Q: Find the maximum value of ƒ(x, y) = 49 - x2 - y2 on the line x + 3y = 10.

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Q: The demand and supply functions for a certain brand of breath mints are demand =−20x + 150 and…

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Q: The cost and revenue functions for a certain firm are given by C(x) = 14x + 20,000 and R(x) = 22x,…

A: Given: C(x) = 14x + 20,000  and R(x) = 22x Profit function P(x) is given by : P(x)=R(x)-C(x)…

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Q: If the profit function for a product is P(x) = 5600x + 85x^2 − x^3 − 160,000 dollars, selling how…

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Q: find an equation for the linear function with the given values.

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Q: Find the linear function that matches the table of values below. y -2 -1 -1 -4 1 -7 O f(x) = - 3x -…

A: To find the correct option

Q: Find a formula for the linear function with slope −3 and x-intercept 2.

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Q: The annual total revenue for Pilot V5 pens is given by R(x) = 1500x - 0.02x2 dollars, where x is the…

A: Given, R(x)=1500x-0.02x2

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Q: Find the point at which the line f(x)=−5x−3f(x)=-5x-3 intersects the line g(x)=−x+1g(x)=-x+1

A: The given functions are fx=-5x-3gx=-x+1

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Q: The monthly demand for insulated coffee mugs is given by q= 4400 − 200p, where p is the price of a…

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Q: Suppose that the monthly cost in dollars of mining a certain ore is related to the number of pieces…

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Q: Find values of x where f(x)=2x3 – x +5 and g(x)=x2-8 have same slope.

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Q: In a Washington town, the charge for commercial waste collection is $694.55 for 5 tons of waste and…

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Q: Find the point at which the line f(x)=−5x−10 intersects the line g(x)=−4x−8.

A: We need to find a point of intersection of both the given lines.

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.