Maharashtra State BoardHSC Commerce (English Medium) 11th
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Balbharati solutions for Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board chapter 2 - Functions [Latest edition]

Chapters

Balbharati solutions for Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board chapter 2 - Functions - Shaalaa.com
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Chapter 2: Functions

Exercise 2.1Miscellaneous Exercise 2
Exercise 2.1 [Pages 30 - 31]

Balbharati solutions for Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board Chapter 2 Functions Exercise 2.1 [Pages 30 - 31]

Exercise 2.1 | Q 1. (a) | Page 30

Check if the following relation is function:

Exercise 2.1 | Q 1. (b) | Page 31

Check if the following relation is function:

Exercise 2.1 | Q 1. (c) | Page 31

Check if the following relation is function:

Exercise 2.1 | Q 2. (a) | Page 31

Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify : {(1,0), (3, 3), (2,−1), (4, 1), (2, 2)}

Exercise 2.1 | Q 2. (b) | Page 31

Which sets of ordered pairs represent functions from A = {1, 2, 3, 4} to B = {−1, 0, 1, 2, 3}? Justify : {(1, 2), (2,−1), (3, 1), (4, 3)}

Exercise 2.1 | Q 2. (c) | Page 31

Which set of ordered pair represent function from A = {1, 2, 3, 4}to B = {−1, 0, 1, 2, 3}? Justify : {(1, 3), (4,1), (2, 2)}

Exercise 2.1 | Q 2. (d) | Page 31

Which set of ordered pair represent function from A = {1, 2, 3, 4}to B = {−1, 0, 1, 2, 3}? Justify : {(1, 1), (2, 1), (3, 1), (4, 1)}

Exercise 2.1 | Q 3. (a) | Page 31

If f(m) = m2 − 3m + 1, find f(0)

Exercise 2.1 | Q 3. (b) | Page 31

If f(m) = m2 − 3m + 1, find f(−3)

Exercise 2.1 | Q 3. (c) | Page 31

If f(m) = m2 − 3m + 1, find `f(1/2)`

Exercise 2.1 | Q 3. (d) | Page 31

If ƒ(m) = m2 − 3m + 1, find f(x + 1)

Exercise 2.1 | Q 3. (e) | Page 31

If f(m) = m2 − 3m + 1, find f(− x)

Exercise 2.1 | Q 4. (a) | Page 31

Find x, if `"g"(x)` = 0 where `"g"(x)` = `(5x−6)/7`

Exercise 2.1 | Q 4. (b) | Page 31

Find x, if `"g"(x)` = 0 where `"g"(x)`= `(18−2x^2)/ 7`

Exercise 2.1 | Q 4. (c) | Page 31

Find x, if `"g"(x)` = 0 where `"g"(x)` = 6x2 + x − 2

Exercise 2.1 | Q 5 | Page 31

Find x, if f(x) = g(x) where f(x) = x4 + 2x2 , g(x) = 11x2

Exercise 2.1 | Q 6. (a) | Page 31

If f(x) = `{(x^2 + 3","  x ≤ 2),(5x + 7","  x > 2):},` then find f(3)

Exercise 2.1 | Q 6. (b) | Page 31

If f(x) = `{(x^2 + 3","  x ≤ 2),(5x + 7","  x > 2):},` then find f(2)

Exercise 2.1 | Q 6. (c) | Page 31

If f(x) = `{(x^2 + 3","  x ≤ 2),(5x + 7","  x > 2):},` then find f(0)

Exercise 2.1 | Q 7. (a) | Page 31

if f(x) = `{(4x - 2","   x ≤ - 3),(5","  -3 < x < 3),(x^2","  x ≥ 3):},`the find f(– 4)

Exercise 2.1 | Q 7. (b) | Page 31

if f(x) = `{(4x - 2"," x ≤ - 3),(5"," -3 < x < 3),(x^2"," x ≥ 3):},`the find f(– 3)

Exercise 2.1 | Q 7. (c) | Page 31

if f(x) = `{(4x - 2"," x ≤ - 3),(5"," -3 < x < 3),(x^2"," x ≥ 3):},`the find f(1)

Exercise 2.1 | Q 7. (d) | Page 31

if f(x) = `{(4x - 2"," x ≤ - 3),(5"," -3 < x < 3),(x^2"," x ≥ 3):},`the find f(5)

Exercise 2.1 | Q 8. (a) | Page 31

If f(x) = 3x + 5, `"g"(x)` = 6x − 1, then find `("f" + "g") (x)`

Exercise 2.1 | Q 8. (b) | Page 31

If f(x) = 3x + 5, g(x) = 6x − 1, then find (f - g) (2)

Exercise 2.1 | Q 8. (c) | Page 31

If f(x) = 3x + 5, g(x) = 6x − 1, then find (fg) (3)

Exercise 2.1 | Q 8. (d) | Page 31

If f(x) = 3x + 5, g(x) = 6x – 1, then find `("f"/"g")`(x) and its domain

Exercise 2.1 | Q 9. (a) | Page 31

If f(x) = 2x2 + 3, g(x) = 5x − 2, then find fog.

Exercise 2.1 | Q 9. (b) | Page 31

If f(x) = 2x2 + 3, g(x) = 5x − 2, then find gof.

Exercise 2.1 | Q 9. (c) | Page 31

If f(x) = 2x2 + 3, g(x) = 5x – 2, then find fof.

Exercise 2.1 | Q 9. (d) | Page 31

If f(x) = 2x2 + 3, g(x) = 5x – 2, then find gog.

Miscellaneous Exercise 2 [Page 32]

Balbharati solutions for Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board Chapter 2 Functions Miscellaneous Exercise 2 [Page 32]

Miscellaneous Exercise 2 | Q 1. (i) | Page 32

Which of the following relations are functions? If it is a function determine its domain and range:

{(2, 1), (4, 2), (6, 3), (8, 4), (10, 5), (12, 6), (14, 7)}

Miscellaneous Exercise 2 | Q 1. (ii) | Page 32

Which of the following relations are functions? If it is a function determine its domain and range:

{(0, 0), (1, 1), (1, −1), (4, 2), (4, −2), (9, 3), (9, −3), (16, 4), (16, −4)}

Miscellaneous Exercise 2 | Q 1. (iii) | Page 32

Which of the following relations are functions? If it is a function determine its domain and range:

{(1, 1), (3, 1), (5, 2)}

Miscellaneous Exercise 2 | Q 2 | Page 32

A function f: R→ R defined by f(x) = `(3x) /5 + 2`, x ∈ R. Show that f is one-one and onto. Hence find f−1.

Miscellaneous Exercise 2 | Q 3 | Page 32

A function f is defined as follows: f(x) = 4x + 5, for −4 ≤ x < 0. Find the values of f(−1), f(−2), f(0), if they exist.

Miscellaneous Exercise 2 | Q 4 | Page 32

A function f is defined as follows: f(x) = 5 − x for 0 ≤ x ≤ 4. Find the value of x such that f(x) = 3

Miscellaneous Exercise 2 | Q 5 | Page 32

If f(x) = 3x2 − 5x + 7 find f(x − 1).

Miscellaneous Exercise 2 | Q 6 | Page 32

If f(x) = 3x + a and f(1) = 7 find a and f(4).

Miscellaneous Exercise 2 | Q 7 | Page 32

If f(x) = ax2 + bx + 2 and f(1) = 3, f(4) = 42, find a and b.

Miscellaneous Exercise 2 | Q 8 | Page 32

If f(x) =` (2x−1)/ (5x−2) , x ≠ 2/5` Verify whether (fof) (x) = x

Miscellaneous Exercise 2 | Q 9 | Page 32

If f(x) = `(x+3)/(4x−5) , "g"(x) = (3+5x)/(4x−1)` then verify that `("fog") (x)` = x.

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Chapter 2: Functions

Exercise 2.1Miscellaneous Exercise 2
Balbharati solutions for Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board chapter 2 - Functions - Shaalaa.com

Balbharati solutions for Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board chapter 2 - Functions

Balbharati solutions for Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board chapter 2 (Functions) include all questions with solution and detail explanation. This will clear students doubts about any question and improve application skills while preparing for board exams. The detailed, step-by-step solutions will help you understand the concepts better and clear your confusions, if any. Shaalaa.com has the Maharashtra State Board Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board solutions in a manner that help students grasp basic concepts better and faster.

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Concepts covered in Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board chapter 2 Functions are Types of Functions, Representation of Function, Graph of a Function, Fundamental Functions, Algebra of Functions, Composite Function, Inverse Functions, Some Special Functions, Concept of Functions.

Using Balbharati 11th solutions Functions exercise by students are an easy way to prepare for the exams, as they involve solutions arranged chapter-wise also page wise. The questions involved in Balbharati Solutions are important questions that can be asked in the final exam. Maximum students of Maharashtra State Board 11th prefer Balbharati Textbook Solutions to score more in exam.

Get the free view of chapter 2 Functions 11th extra questions for Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board and can use Shaalaa.com to keep it handy for your exam preparation

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