Question
Let f be the function given by \(f(x)=\frac{\left | x^{2} -2\right |(x+0.4)}{(x^{2}-2)(x+0.4)}\) . On which of the following open intervals is f continuous?
A (−2,−1)
B (−1,0)
C (0,1)
D (1,2)
Answer/Explanation
Ans: C
Question
The graph of the function f is shown above. On which of the following intervals is f continuous?
A (0,1)
B (1,2)
C (2,3)
D (3,4)
Answer/Explanation
Ans:D
Question
The function f is continuous on the interval −2<x<5 and is not continuous on the interval −2≤x≤5. Which of the following could not be an expression for f(x) ?
A \(\frac{(x+2)}{(x-5)}\)
B \(\frac{(x-5)}{(x+2)}\)
C (x+2)(x−5)
D \(\frac{1}{(x+2)(x-5)}\)
Answer/Explanation
Ans: C
Question
Let f be the function defined by the following.
For what values of x is f NOT continuous?
(A) 0 only
(B) 1 only
(C) 2 only
(D) 0 and 2 only
(E) 0, 1, and 2
Answer/Explanation
Ans:C
