Let f : R to R be a function defined as...

Let `f : R to R` be a function defined as `f(x) = {((b + 2)x-11c, x < -1),(x^2 + bx + c, -1lexle1),(2bx - 7x, 1 < x le2),(9/4, x>2):}` then f(x)is:

A

Continuous if `b = -1 and c = -1/4`

B

Continuous if `b = 1/8 and c = 1/4`

C

Continuous if `b = 11/25 and c = 7/100`

D

Not continuous for any values of b and c

Verified by Experts

The correct Answer is:

D

No value of b and c make f(x) continuous.

Similar Questions

Explore conceptually related problems

Let f:R to R be a function defined b f(x)=cos(5x+2). Then,f is

Let f:R to R be a function defined by f(x)=(x^(2)-8)/(x^(2)+2) . Then f is

Let f:R rarr R be a function defined as f(x)=(x^(2)-6)/(x^(2)+2) , then f is

Let f:R to R be the function defined by f(x) = (1)/(2-cos x), AA x in R. Then, find the range fo f .

Let f : R → R be a function defined by f ( x ) = 2 x − 5 ∀ x ∈ R . Then Write f^(−1) .

Let f : R → R be a function defined by f ( x ) = 4 x − 3 ∀ x ∈ R . Then Write f^(−1) .

Let f:R rarr R be a function defined by f(x)=x+sqrt(x^(2)), then fis

Let f:R rarr R be a function defined by f(x)=(x^(2)-3x+4)/(x^(2)+3x+4) then fis-