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1.) Determine if each equation is a function. a.) x - y = 5 b.) y=x²-3x + 5 c.) x² + y² = 16

1.) Determine if each equation is a function. a.) x - y = 5 b.) y=x²-3x + 5 c.) x² + y² = 16

Algebra and Trigonometry (6th Edition)
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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1.) Determine if each equation is a function. a.) x - y = 5 b.) y=x²-3x + 5 c.) x² + y² = 16 2.) Consider the function f(x) = (3,2), (5,-1), (6,3)} a.) State the domain and range b.) Find f(5) c.) Find ¹(-1) d.) If f(x) = 3, find x. 3.) Consider the function g(x)=-3x² - 2x a.) Find g(1) b.) Find g(-3) c.) Find g(a) d.) Find g(2a) 4.) Consider the function f(x) = -2x - 2 a.) Find f(-3) b.) Sketch a graph of the function c.) If f(x) = 4, find x d.) Find the equation for the inverse of the function. 5.) Consider the function f(x) = -x - 21+ 3 a.) Find f(4) b.) Find f(-3) c.) Sketch a graph of the function 6.) Write the domain of each function in interval notation. a.) f(x) = x - 1 b.) f(x) = c.) f(x)=x+ = √√x + 3 7.) Consider the function f(x) = a.) Find f(-4) b.) Find f(7) c.) Find f(5) 2x-1 if x > 5 3 if x ≤ 5
Transcribed Image Text:1.) Determine if each equation is a function. a.) x - y = 5 b.) y=x²-3x + 5 c.) x² + y² = 16 2.) Consider the function f(x) = (3,2), (5,-1), (6,3)} a.) State the domain and range b.) Find f(5) c.) Find ¹(-1) d.) If f(x) = 3, find x. 3.) Consider the function g(x)=-3x² - 2x a.) Find g(1) b.) Find g(-3) c.) Find g(a) d.) Find g(2a) 4.) Consider the function f(x) = -2x - 2 a.) Find f(-3) b.) Sketch a graph of the function c.) If f(x) = 4, find x d.) Find the equation for the inverse of the function. 5.) Consider the function f(x) = -x - 21+ 3 a.) Find f(4) b.) Find f(-3) c.) Sketch a graph of the function 6.) Write the domain of each function in interval notation. a.) f(x) = x - 1 b.) f(x) = c.) f(x)=x+ = √√x + 3 7.) Consider the function f(x) = a.) Find f(-4) b.) Find f(7) c.) Find f(5) 2x-1 if x > 5 3 if x ≤ 5
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