Evaluate the piecewise function at the given values of the independent variable.h(x) =(a) h(3)(a) h(3) =کےx² - 16X-43(b) h(0)if x #4if x=4(c) h(4).... ←Use the given conditions to write an equation for the line in point-slope form and in slope-intercept form.3x-intercept = - and y-intercept = 1Type the point-slope form of the equation of the line.7(Use integers or simplified fractions for any numbers in the equation.)...

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Answered: Evaluate the piecewise function at the…

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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The following table gives the cost, C(n)C(n), of producing a certain good as a linear function of nn, the number of units produced. Use the information in this table to answer the questions that follow it. nn (units) 75 100 125 150 C(n)C(n) (dollars) 10000 10125 10250 10375 (a) Evaluate each of the following expressions. Give economic interpretations of each. C(150)=C(150)= , which tells us C(150)−C(100)=C(150)−C(100)= , which tells us C(150)−C(100)150−100=C(150)−C(100)150−100= , which tells us (b)Estimate C(0)C(0). What is the economic significance of this value? (c)The fixed cost of production is the cost incurred before any goods are produced. The unit cost is the cost of producing an additional unit. Find a formula for C(n)C(n) in terms of nn, given that: Total cost=Fixed cost+Unit cost⋅Number of unitsTotal cost=Fixed cost+Unit cost⋅Number of units C(n)=
V. Give the domain of the following functions: 1. f(x)= 3x-5
Given the one-to-one function f(x) = x³ +3, find the following. (Hint: You do not need to find the equation for f¹.) -1 a. f(1) b. f (4) a. f(1) = (Type an integer or a decimal.) b. f (4) = (Type an integer or a decimal.)
B. Given that f(x) = {(-2,1), (1,4), (2,5), (3,6)} g(x) = 6 + 4x h(x) = -x² + 2 2. 2h(3)+g[f(-2)] find 1. h[f(1)] 7 3. g[f(3)]/h(-2) 4. g[h(f(-2)]
23. For f(x) = 9x and g(x)=x + 4, find the following functions. a. (fo g)(x); b. (g o f)(x); c. (f o g)(2); d. (g o f)(2) a. (fo g)(x) = (Simplify your answer.) b. (g o f)(x) = (Simplify your answer.) c. (f o g)(2) = d. (g o f)(2) =
A(x) is a quoadratic function. B(x) is a quadratic function. What type of polynomial function is A(x) ·B(x)? 1. 2. A(x) is a linear function. B(x) is a linear function. What type of polynomial function is A(x) · B(x)?
The length of a rectangle is 4 feet more than 3 times the width. (A = { x w and P = 2l + 2w) (a) Express the area A as a function of the width w. O A = {w square units (2 O A(t) 48 square units 3 3 O A(w) = 3w2 - 4w square units A(w) 4w² + 3w square units O A(w) = 3w2 + 4w square units (b) Express the perimeter P as a function of the length {. O P() =D 을(? - 1) units O P(w) = 8w + 8 units O P(t) = 8l + 8 units O P(t) = -3 8 units O P(t) = 1 units
Determine for the following functions: g(3.6) 11 5 13 17

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Evaluate the piecewise function at the given values of the independent variable. h(x) = (a) h(3) (a) h(3) = x²-16 X-4 3 (b) h(0) if x #4 if x=4 (c) h(4) ......