XAT Functions, Graphs and Statistics questions

XAT 2017 Functions, Graphs and Statistics questions

Question 1

If f(x) = ax + b, a and b are positive real numbers and if f(f(x)) = 9x + 8, then the value of a + b is:

XAT 2016 Functions, Graphs and Statistics questions

Question 1

f is a function for which f(1)= 1 and f(x) = 2x + f(x - 1) for each natural number x$$\geq$$2. Find f(31)

XAT 2015 Functions, Graphs and Statistics questions

Question 1

Find the equation of the graph shown below.

Question 2

If $$f(x^2 - 1) = x^4 - 7x^2 + k_1$$ and $$f(x^3 - 2) = x^6 - 9x^3 +k_2$$ then the value of $$(k_2 - k_1)$$ is

Question 3

For a positive integer x, define f(x) such that f(x + a) = f(a × x), where a is an integer and f(1) = 4. If the value of f(1003) = k, then the value of ‘k’ will be:

XAT 2013 Functions, Graphs and Statistics questions

Question 1

The mean of six positive integers is 15. The median is 18, and the only mode of the integers is less than 18. The maximum possible value of the largest of the six integers is

Question 2

The figure below shows the graph of a function f(x). How many solutions does the equation f(f(x)) = 15 have?

XAT 2011 Functions, Graphs and Statistics questions

Question 1

The domain of the function $$f(x) =log_{7}({ log_{3}(log_{5}(20x-x^{2}-91 )))}$$ is:

XAT 2010 Functions, Graphs and Statistics questions

Question 1

Determine the value(s) of “a” for which the point $$(a, a^{2})$$ lies inside the triangle formed by the lines: 2x+ 3y= 1, x+ 2y=3 and 5x-6y= 1

Question 2

The operation (x) is defined by
(i) (1) = 2
(ii)(x  + y) = (x).(y)

for all positive integers x and y.
If $$\sum_{x=1}^n(x)$$ = 1022 then n =

Instruction for set 1:

Let $$A_{1},A_{2},.....A_{n}$$ be then points on the straight - line y = px + q. The coordinates of $$A_{k}is(X_{k},Y_{k})$$, where k = 1, 2, ...n such that $$X_{1},X_{2}....X_{n}$$ are in arithmetic progression. The coordinates of $$A_{2}$$ is (2,–2) and $$A_{24}$$ is (68, 31).

Question 3

The y - ordinates of $$A_8$$ is

Instruction for set 1:

Let $$A_{1},A_{2},.....A_{n}$$ be then points on the straight - line y = px + q. The coordinates of $$A_{k}is(X_{k},Y_{k})$$, where k = 1, 2, ...n such that $$X_{1},X_{2}....X_{n}$$ are in arithmetic progression. The coordinates of $$A_{2}$$ is (2,–2) and $$A_{24}$$ is (68, 31).

Question 4

The number of point(s) satisfying the above mentioned characteristics and not in the first quadrant is/are