Math Problem Statement
Determine the values of x for which the function f left parenthesis x right parenthesis equals StartRoot StartFraction 3 x Over x plus 1 EndFraction EndRoot is continuous. If the function is not continuous, determine the reason. Question content area bottom Part 1 Where is the function continuous or not continuous? A. The function is continuous for all values of x between 0 and 3. B. The function is not continuous for all values of x greater than 0 and less than 1. C. The function is not continuous for all values of x less than or equal to 0 and greater than minus3. D. The function is continuous for all values of x between 0 and minus1. E. The function is continuous for all values of x. F. The function is not continuous for all values of x less than 0 and greater than or equal to minus1. G. The function is not continuous for all values of x greater than 0 and less than 3. Part 2 Why is the function continuous or not continuous? A. The function is not continuous because it is not defined for x-values on the interval negative 1 less than or equals x less than 0. B. A small change near xequals1 may produce a large change in f(x). C. The function exists for all points and any small change in x produces only a small change in f(x). D. The function is not continuous because it is defined for x-values on the interval negative 1 less than or equals x less than 0. E. The function does not exist at the point xequals3. Where is the function continuous or not continuous?Why is the function continuous or not continuous?
Solution
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Continuity
Square Roots
Rational Functions
Inequalities
Formulas
f(x) = √(3x / (x + 1))
Theorems
Continuity Theorem
Domain of Square Root Functions
Domain of Rational Functions
Suitable Grade Level
Grades 10-12