Question:

Let $f:R\rightarrow R$ be defined by $f(x) = \begin{cases} k-2x,x\le-1\\ 2x+3,x\gt-1 \end{cases}$ . If f(x) has a local minimum at x=- 1, then a possible value of k is

Updated On: Oct 4, 2024

0
$-\frac{1}{2}$
-1
1

Hide Solution

Verified By Collegedunia

The Correct Option is C

Solution and Explanation

The correct option is (C): -1

Was this answer helpful?

0

0

Top Questions on Functions

If the domain of the function $f(x) = \frac{1}{\sqrt{3x + 10 - x^2}} + \frac{1}{\sqrt{x + |x|}}$ is $(a, b)$ , then $(1 + a)^2 + b^2$ is equal to:
- JEE Main - 2025
- Mathematics
- Functions
View Solution
The domain of the function $f(x) = \frac{1}{\sqrt{10 + 3x - x^2}} + \frac{1}{\sqrt{x + |x|}}$ is $(a, b)$ . Then $(1 + a^2) + b^2$ is:
- JEE Main - 2025
- Mathematics
- Functions
View Solution
Let $A = \{1, 2, 3, 4\}$ and $B = \{1, 4, 9, 16\}$ . Then the number of many-one functions $f: A \to B$ such that $1 \in f(A)$ is equal to:
- JEE Main - 2025
- Mathematics
- Functions
View Solution
Let $f(x) = \log x$ and $g(x) = \frac{x^4 - 2x^3 + 3x^2 - 2x + 2}{2x^2 - 2x + 1}$ Then the domain of $f \circ g$ is:
- JEE Main - 2025
- Mathematics
- Functions
View Solution
If the domain of the function $\log_5 (18x - x^2 - 77)$ is $(\alpha, \beta)$ and the domain of the function $\log_{(x-1)} \left( \frac{2x^2 + 3x - 2}{x^2 - 3x - 4} \right)$ is $(\gamma, \delta)$ , then $\alpha^2 + \beta^2 + \gamma^2$ is equal to:
- JEE Main - 2025
- Mathematics
- Functions
View Solution

View More Questions

Questions Asked in SRMJEEE exam

View More Questions