The function f (x) = ex+1 + 1 (4x2- 16x +11) is :

Question

The function f (x) = ex+1 + 1 (4x2- 16x +11) is : (A) decreasing in (-∞, -(5/2)) ∪ ((1/2), ∞) (B) decreasing in (-∞, -(1/2)) ∪ ((5/2), ∞) (C) increasing in (-∞, -2) ∪ (2, ∞) (D) increasing in (-∞, -(1/2)) ∪ ((5/2), ∞)

Tardigrade Admin · Accepted Answer

Correct answer is (d) increasing in (-∞, -(1/2)) ∪ ((5/2), ∞)

Q. The function $f (x) = e^{x + 1} + 1 (4 x^{2} - 16 x + 11)$ is :

decreasing in $(- \infty, - \frac{5}{2}) \cup (\frac{1}{2}, \infty)$

decreasing in $(- \infty, - \frac{1}{2}) \cup (\frac{5}{2}, \infty)$

increasing in $(- \infty, - 2) \cup (2, \infty)$

increasing in $(- \infty, - \frac{1}{2}) \cup (\frac{5}{2}, \infty)$

Correct answer is (d) increasing in $(- \infty, - \frac{1}{2}) \cup (\frac{5}{2}, \infty)$

Q. The function f(x)=ex+1+1(4x2−16x+11) is :

decreasing in (−∞,−25​)∪(21​,∞)

decreasing in (−∞,−21​)∪(25​,∞)

increasing in (−∞,−2)∪(2,∞)

increasing in (−∞,−21​)∪(25​,∞)