{"id":37831,"date":"2019-11-19T18:18:54","date_gmt":"2019-11-19T12:48:54","guid":{"rendered":"https:\/\/cracku.in\/blog\/?p=37831"},"modified":"2019-11-20T18:21:08","modified_gmt":"2019-11-20T12:51:08","slug":"functions-and-graphs-questions-for-iift-pdf","status":"publish","type":"post","link":"https:\/\/cracku.in\/blog\/functions-and-graphs-questions-for-iift-pdf\/","title":{"rendered":"Functions and Graphs Questions for IIFT PDF"},"content":{"rendered":"

Functions and Graphs Questions for IIFT PDF<\/strong><\/span><\/h2>\n

Download important IIFT Functions and Graphs Questions PDF based on previously asked questions in IIFT and other MBA exams. Practice Functions and Graphs Questions and answers for IIFT and other\u00a0 exams.<\/p>\n

Download Functions and Graphs Questions for IIFT PDF<\/a><\/p>\n

Get 5 IIFT mock tests for Rs. 299. Enroll here<\/a><\/p>\n

Download IIFT Previous Papers PDF<\/a><\/p>\n

Take IIFT Mock Tests (With Solutions)<\/a><\/p>\n

Question 1:\u00a0<\/b>A function $f (x)$ satisfies $f(1) = 3600$, and $f (1) + f(2) + … + f(n) =n^2f(n)$, for all positive integers $n > 1$. What is the value of $f (9)$ ?<\/p>\n

a)\u00a080<\/p>\n

b)\u00a0240<\/p>\n

c)\u00a0200<\/p>\n

d)\u00a0100<\/p>\n

e)\u00a0120<\/p>\n

Instructions<\/b><\/p>\n

Directions for the next 3 questions:<\/p>\n

Given below are three graphs made up of straight-line segments shown as thick lines. In each case choose the answer as:<\/p>\n

a) if f(x)=3f(-x)<\/p>\n

b) if f(x)= -f(-x)<\/p>\n

c) if f(x) = f(-x)<\/p>\n

d) if 3f(x) = 6f(-x), for x >= 0<\/p>\n

Question 2:\u00a0<\/b>\"\"<\/p>\n

a)\u00a0if f(x)=3f(-x)<\/p>\n

b)\u00a0if f(x)= -f(-x)<\/p>\n

c)\u00a0if f(x) = f(-x)<\/p>\n

d)\u00a0if 3f(x) = 6f(-x), for x >= 0<\/p>\n

Question 3:\u00a0<\/b><\/p>\n

<\/figure>\n

a)\u00a0if f(x)=3f(-x)<\/p>\n

b)\u00a0if f(x)= -f(-x)<\/p>\n

c)\u00a0if f(x) = f(-x)<\/p>\n

d)\u00a0if 3f(x) = 6f(-x), for x >= 0<\/p>\n

Instructions<\/b><\/p>\n

DIRECTIONS for the following questions: These questions are based on the situation given below: In each of the questions\u00a0a pair of graphs F(x) and F1(x) is given. These are composed of straight-line segments, shown as solid lines, in the domain $x\\epsilon (-2, 2)$.<\/p>\n

choose the answer as<\/p>\n

a. If F1(x) = – F(x)<\/p>\n

b. if F1(x) = F(- x)<\/p>\n

c. if F1(x) = – F(- x)<\/p>\n

d.\u00a0if none of the above is true<\/p>\n

Question 4:\u00a0<\/b>\"\"
\n\"\"<\/p>\n

a)\u00a0a<\/p>\n

b)\u00a0b<\/p>\n

c)\u00a0c<\/p>\n

d)\u00a0d<\/p>\n

Question 5:\u00a0<\/b>\"\"
\n\"\"<\/p>\n

a)\u00a0a<\/p>\n

b)\u00a0b<\/p>\n

c)\u00a0c<\/p>\n

d)\u00a0d<\/p>\n

IIFT Free Mock Test<\/a><\/p>\n

Question 6:\u00a0<\/b>\"\"
\n\"\"<\/p>\n

a)\u00a0a<\/p>\n

b)\u00a0b<\/p>\n

c)\u00a0c<\/p>\n

d)\u00a0d<\/p>\n

Question 7:\u00a0<\/b>\"\"\"\"<\/p>\n

a)\u00a0a<\/p>\n

b)\u00a0b<\/p>\n

c)\u00a0c<\/p>\n

d)\u00a0d<\/p>\n

Question 8:\u00a0<\/b>Let $f(x)\\neq0$ for any ‘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 $f(\\frac{1}{2})$?<\/p>\n

a)\u00a00<\/p>\n

b)\u00a01\/4<\/p>\n

c)\u00a01\/2<\/p>\n

d)\u00a01<\/p>\n

e)\u00a0cannot be determined<\/p>\n

Question 9:\u00a0<\/b>The function f(x) = |x – 2| + |2.5 – x| + |3.6 – x|, where x is a real number, attains a minimum at<\/p>\n

a)\u00a0x = 2.3<\/p>\n

b)\u00a0x = 2.5<\/p>\n

c)\u00a0x = 2.7<\/p>\n

d)\u00a0None of the above<\/p>\n

Instructions<\/b><\/p>\n

Directions for the following two questions:<\/p>\n

Answer the questions on the basis of the information given below.<\/p>\n

$f_1(x) = x$ if $0 \\leq x \\leq 1$
\n$f_1(x) = 1$ if x >= 1
\n$f_1(x) = 0$ otherwise<\/p>\n

$f_2(x) = f_1(-x)$ for all x<\/p>\n

$f_3(x) = -f_2(x)$ for all x<\/p>\n

$f_4(x) = f_3(-x)$ for all x<\/p>\n

Question 10:\u00a0<\/b>How many of the following products are necessarily zero for every x:$f_1(x)f_2(x), f_2(x)f_3(x), f_2(x)f_4(x)$<\/p>\n

a)\u00a00<\/p>\n

b)\u00a01<\/p>\n

c)\u00a02<\/p>\n

d)\u00a03<\/p>\n

Get Complete MBA Test Series for Rs. 799<\/a><\/p>\n

Answers & Solutions:<\/strong><\/span><\/p>\n

1)\u00a0Answer\u00a0(A)<\/strong><\/p>\n

According to given conditions we get f(2)=f(3)\/3 , then\u00a0f(3)=f(1)\/6, then \u00a0f(4)=f(1)\/10 , then\u00a0f(5)=f(1)\/15 .<\/p>\n

We can see the pattern here that the denominator goes on increasing from 3,3+3,6+4,10+5,15+6,.. so for the f(9) the denominator will be same as 15+6+7+8+9=45 .<\/p>\n

So f(9)=3600\/45 = 80<\/p>\n

2)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

In this graph, f(-1) = 1 and f(1) = 2 and since the two lines pass origin, their values increase linearly.<\/p>\n

3f(x) = 6f(-x)<\/p>\n

3)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

In this graph, we can see that the graph on LHS of y axis is symmetrical to the graph on RHS of y axis about origin.<\/p>\n

Hence f(x) = -f(-x)<\/p>\n

4)\u00a0Answer\u00a0(D)<\/strong><\/p>\n

The correct relation between the two is:\u00a0F(x) = | F1(x) |<\/p>\n

So, all the three options a), b) and c) can be ruled out. Option d) is the correct answer.<\/p>\n

5)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

The value of F(x) for x < 0 is the same as the value of F1(x) for x > 0.<\/p>\n

So, F1(x) = F(-x)<\/p>\n

Option b) is the correct answer.<\/p>\n

IIFT Free Mock Test<\/a><\/p>\n

Take IIFT Mock Tests (With Solutions)<\/a><\/p>\n

6)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

The value of F(x) for x > 0 is the same as the value of F1(x) for x < 0.<\/p>\n

So, F1(x) = F(-x)<\/p>\n

Option b) is the correct answer.<\/p>\n

7)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

F(0) = 1 ; F1(0) = -1<\/p>\n

F(1) = 0 ; F1(-1) = 0<\/p>\n

F(2) = -1 ; F1(-2) = 1<\/p>\n

=> F1(x) = -F(-x).<\/p>\n

8)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

$f(1)^2$ = f(1) => f(1) = 1<\/p>\n

f(2)*(f(1\/2) = f(1) => 4x = 1<\/p>\n

So, f(1\/2) = 1\/4<\/p>\n

9)\u00a0Answer\u00a0(B)<\/strong><\/p>\n

f(x) = |x – 2| + |2.5 – x| + |3.6 – x|<\/p>\n

For x belonging to (-infinity to 2), f(x) = 2-x + 2.5-x + 3.6-x = 8.1-3x<\/p>\n

This attains the minimum value at x=2. Value = 2.1<\/p>\n

For x belonging to (2 to 2.5), f(x) = x-2 + 2.5-x + 3.6-x = 4.1-x<\/p>\n

Attains the minimum value at x = 2.5. Value = 1.6<\/p>\n

For x belonging to (2.5 to 3.6), f(x) = x-2 + x-2.5 + 3.6-x = x-0.9<\/p>\n

Attains the minimum at x=2.5, value = 1.6<\/p>\n

For x > 3.6, f(x) = x-2+x-2.5+x-3.6 = 3x – 8.1<\/p>\n

Attains the minimum at x= 3.6, value = 2.7<\/p>\n

So, min value of the function is 1.6 at x=2.5<\/p>\n

10)\u00a0Answer\u00a0(C)<\/strong><\/p>\n

Checking for different values of x . Suppose x= -0.5 we get<\/p>\n

$f_1(x)f_2(x) = 0*0.5 = 0$<\/p>\n

$f_2(x)f_4(x) = 0.5*0 = 0$ .<\/p>\n

But $f_2(x)f_3(x)$ is not equal to zero.<\/p>\n

Hence two functions are necessarily equal to zero and two products given above are equal to zero.<\/p>\n

IIFT Previous year question papers PDF<\/a><\/p>\n

IIFT Free Mock Test<\/a><\/p>\n

We hope this Functions and Graphs questions and answers for IIFT PDF will be helpful to you.<\/p>\n","protected":false},"excerpt":{"rendered":"

Functions and Graphs Questions for IIFT PDF Download important IIFT Functions and Graphs Questions PDF based on previously asked questions in IIFT and other MBA exams. Practice Functions and Graphs Questions and answers for IIFT and other\u00a0 exams. Download IIFT Previous Papers PDF Take IIFT Mock Tests (With Solutions) Question 1:\u00a0A function $f (x)$ satisfies […]<\/p>\n","protected":false},"author":42,"featured_media":37836,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"om_disable_all_campaigns":false,"_mi_skip_tracking":false,"footnotes":""},"categories":[3,169,125,350,362,366],"tags":[3050,1195],"class_list":{"0":"post-37831","1":"post","2":"type-post","3":"status-publish","4":"format-standard","5":"has-post-thumbnail","7":"category-cat","8":"category-downloads","9":"category-featured","10":"category-iift","11":"category-snap","12":"category-xat","13":"tag-functions-and-graphs-questions-for-iift","14":"tag-iift-2019"},"better_featured_image":{"id":37836,"alt_text":"Functions and Graphs Questions for IIFT PDF","caption":"Functions and Graphs Questions for IIFT PDF\n","description":"Functions and Graphs Questions for IIFT 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