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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Evaluate the integral.

A.
B.
C.
D.

Mathematics

Simplify the polynomial by combining like terms.x2 + x +  + x2 - x - 

A. x2 - x - 
B. x4 + x2 - 
C. x2 + x - 
D. x6 - 

Mathematics

Solve.The normal gasoline mileage of a car is 45 mpg. On a smooth road, its mileage is 12% higher. What is its mileage on a smooth road? Round your answer to the nearest tenth.

A. 5.4 mpg B. 50 mpg C. 45 mpg D. 50.4 mpg

Mathematics

Give the equation of the horizontal asymptote, if any, of the function. f(x) = 

A. y = 0 B. y = -6, y = 6 C. no horizontal asymptotes D. y = -1

Mathematics