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1. Find the domain of each function. Write your answer using interval notation. Show your work on each part. (a) f(x) (b) h(x) = = x-6 x² + 2x - 48 (d) g(x)= = x √x-7 (c) s(t) = ln 2 +7 √3x - 12

1. Find the domain of each function. Write your answer using interval notation. Show your work on each part. (a) f(x) (b) h(x) = = x-6 x² + 2x - 48 (d) g(x)= = x √x-7 (c) s(t) = ln 2 +7 √3x - 12

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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1. 2. 3. 4. Find the domain of each function. Write your answer using interval notation. Show your work on each part. x-6 (a) f(x) = x² + 2x - 48 (b) h(x) = = (c) s(t) = In (d) g(x) = 5. ( x Find and simplify the difference quotient for the following function. Begin by writing the difference quotient. Show your work. f(x) = x-7 = √3x - 12 g(x) =+7 2 Graph the piecewise function. Then use the graph to determine the functions range. Label each axis from 5 to 5. In -1/14 8.x 0, -x, x² - 1, Write the three properties of logarithms in terms of base e. x < -3 -3≤x≤0 x>0 Use properties of logarithms to expand the expression. Show your work. e¹x² x + 2
Transcribed Image Text:1. 2. 3. 4. Find the domain of each function. Write your answer using interval notation. Show your work on each part. x-6 (a) f(x) = x² + 2x - 48 (b) h(x) = = (c) s(t) = In (d) g(x) = 5. ( x Find and simplify the difference quotient for the following function. Begin by writing the difference quotient. Show your work. f(x) = x-7 = √3x - 12 g(x) =+7 2 Graph the piecewise function. Then use the graph to determine the functions range. Label each axis from 5 to 5. In -1/14 8.x 0, -x, x² - 1, Write the three properties of logarithms in terms of base e. x < -3 -3≤x≤0 x>0 Use properties of logarithms to expand the expression. Show your work. e¹x² x + 2
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