Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (a)>Q II

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IMPORTANT

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If $A = \{x | - 1 \leq x \leq 1\}, f (x) = x^{2}, g (x) = x^{3}$ then $f : A \to A$ is a surjection.

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Important Questions on Functions

EASY

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (a)>Q II

If

A = \{x | - 1 \leq x \leq 1\}, f (x) = x^{2}, g (x) = x^{3}

then

g : A \to A

is a surjection.

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11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (a)>Q II

If

f : R \to R

defined by

f (x) = \frac{2 x + 1}{3}

then

f

is

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11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (a)>Q II

If

f : R \to (0, \infty)

defined by

f (x) = 2^{x}

then

f

is

MEDIUM

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (a)>Q II

If

f : (0, \infty) \to R

defined by

f (x) = \log_{e} x

then

f

is

MEDIUM

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (a)>Q II

If

f : [0, \infty) \to [0, \infty)

defined by

f (x) = x^{2}

then

f

is

EASY

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (a)>Q II

If

f : R \to [0, \infty)

defined by

f (x) = x^{2}

then

f

is

EASY

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (a)>Q II

If

f : R \to R

defined by

f (x) = x^{2}

then

f

is

EASY

11th Telangana Board

IMPORTANT

Intermediate First Year Mathematics paper - 1A>Chapter 1 - Functions>Exercise 1 (a)>Q II

Is

g = \{(1, 1), (2, 3), (3, 5), (4, 7)\}

a function from

A = \{1, 2, 3, 4\} to B = \{1, 3, 5, 7\} ?

If this is given by the formula

g (x) = a x + b

, then find

a and b

.