Register

Recent questions tagged functions

0 0 votes
0 0 answers
933
933 views
CAT 2002 | Question: 68
If $f(x) = \log(1+x)/(1-x))$, then $f(x)+f(y)=$$f(x+y)$$f(1+xy)$$(x+y) \: f(1+xy)$$f (\frac{x+y}{1+xy})$
0 0 votes
0 0 answers
1.1k
1.1k views
CAT 2003 | Question: 1-117
The function $f(x) = |x-2| + |2.5-x| + |3.6-x|$, where $x$ is a real number, attains a minimum at$x=2.3$$x=2.5$$x=2.7$None of these
0 0 votes
1 1 answer
2.3k
2.3k views
CAT 2014 | Question: 50
A quadratic function $ƒ(x)$ attains a maximum of $3$ at $x = 1$. The value of the function at $x = 0$ is $1$. What is the value $ƒ(x)$ at $x = 10$? $–119$ $–159$ $–110$ $...
0 0 votes
1 1 answer
2.0k
2.0k views
CAT 2014 | Question: 32
Use the following information for next two questions: A function $f(x)$ is said to be even if $f(-x) = f(x)$, and odd if $f(-x) = -f(x)$. Thus, for example, the function ...
0 0 votes
1 1 answer
1.7k
1.7k views
CAT 2014 | Question: 11
If $y = f(x)$ and $f(x) = (1 - x) / (1 + x)$, which of the following is true? $f(2x) = f(x) – 1$ $x = f(2y) - 1$ $f(1/x) = f(x)$ $x = f(y)$
0 0 votes
1 answers 1 answer
3.1k
3.1k views
CAT 2004 | Question: 61
Answer the questions on the basis of the information given below:$f_{1}(x) = \left\{\begin{matrix} x & 0 \leq x \leq 1 \\ 1 & x \geq 1 \\ 0 & \text{otherwise} \end{matri...
0 0 votes
1 1 answer
2.0k
2.0k views
CAT 2004 | Question: 47
If $f(x) = x^3 - 4x + p$, and $f(0)$ and $f(1)$ are of opposite signs, then which of the following is necessarily true?$-1 < p < 2$$0 < p < 3$$-2 < p < 1$$-3 < p < 0$
0 0 votes
0 0 answers
1.3k
1.3k views
CAT 2005 | Question: 27
Let $g(x)$ be a function such that $g(x+1) +g(x-1) = g(x)$ for every real $x.$ Then for what value of $p$ is the relation $g(x+p)=g(x)$ necessarily true for every real $x...
2 2 votes
1 answers 1 answer
5.4k
5.4k views
CAT 2007 | Question: 25
A function $f(x) $ satisfies $f(1)=3600$ and $f(1)+f(2)+ \dots + f(n) = n^2 f(n)$, for all positive integers $n>1.$ What is the value of $f(9)?$$80$$240$$200$$100$$120$
2 2 votes
1 answers 1 answer
1.9k
1.9k views
CAT 2008 | Question: 13
Let $f(x) $ be a function satisfying $f(x) f(y) =f(xy)$ for all real $x, y$. If $f(2)=4$, then what is the value of $f\left(\frac{1}{2}\right)$$0$$\frac{1}{4}$$\frac{1}{2...
0 0 votes
2 2 answers
5.3k
5.3k views
If f(x) = minimum of (3x + 5, 10 - 2x), what is the maximum possible value of f(x)?
If f (x) = minimum of (3x + 5, 10 - 2x), what is the maximum possible value of f (x)?1368
Page: