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.)
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Evaluate the integral.
A.
B.
C.
D.
Simplify the polynomial by combining like terms.x2 +
x +
+
x2 -
x -
A. x2 -
x -
B. x4 +
x2 -
C. x2 +
x -
D. x6 -
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
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