Provide an appropriate response.Give an example of a function f(x) that is continuous at all values of x except at , where it has a removable discontinuity. Explain how you know that f is discontinuous at  and how you know the discontinuity is removable.

What will be an ideal response?


Let f(x) =  be defined for all x ? 9. The function f is continuous for all   The function is not defined at  because division by zero is undefined; hence f is not continuous at . This discontinuity is removable because   (We can extend the function to  by defining its value to be 1.)

Mathematics

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Solve the proportion. = 

A. 0.13 B. 2 C. 20 D. 8.0

Mathematics

Write a numerical expression for the phrase and simplify it.The quotient of -12 and the sum of 3 and -5

A.
B. -12 + 3 + (-5); -14
C. ; -6
D. ; 6

Mathematics

Solve the system by graphing.

A. (14, -25) B. (9, 8) C. Infinitely many solutions D. Inconsistent

Mathematics

Find the x-intercept and the y-intercept of the graph of the equation. Do not graph the equation.-2x + 2y = 10

A. x-intercept = -5; y-intercept = 5 B. x-intercept = 5; y-intercept = -5 C. x-intercept = -8; y-intercept = -6 D. x-intercept = -8; y-intercept = 0

Mathematics