Q.1 a) Sketch the following intervals on real line i) (1, 3) 11) (1, 3] i11)[1,00) iv) (-0, 3) v) [-1,1] b) Representation of each of the following inequalities on real line: i) x>3 11) xs2 i11) –1 6 i11) |x – 4|<3 iv) x – 2|<5 v) |x + 1|<3 vi) x +4|22 vii) |3 – x| >1 viii) )x + 1|<0 ix) (х — 3)(х + 1) <0 x) x² + 5x + 6>0 xi) (2x – 1)(3x + 4) > 0 xii) 10x? – 19x + 6<0 xiї) 5 — 4х — х? > 0 хiv) 1 — х — 2х? <0 xv) 3x? – 7541 0. 4 Define function, domain, co-domain, range, One - one function (Injective function), Onto – function (Surjective Function), Into - function, Polynomial function, Linear Function, Identical Function, Quadratic Function. Q.5 a) Find the output of the function g(t)= 6t2+5 at i) t=0 ii) t=2 111) t= -8 b) f(x)=3x - x' and find, the domain, range also find f(g), f(x²). c) State the domain and range i) у%3D V(9 — х?) ii)y = |2x| iil) у %3D 1/(х-4) iv) y = |2x| – 1
Q.1 a) Sketch the following intervals on real line i) (1, 3) 11) (1, 3] i11)[1,00) iv) (-0, 3) v) [-1,1] b) Representation of each of the following inequalities on real line: i) x>3 11) xs2 i11) –1 6 i11) |x – 4|<3 iv) x – 2|<5 v) |x + 1|<3 vi) x +4|22 vii) |3 – x| >1 viii) )x + 1|<0 ix) (х — 3)(х + 1) <0 x) x² + 5x + 6>0 xi) (2x – 1)(3x + 4) > 0 xii) 10x? – 19x + 6<0 xiї) 5 — 4х — х? > 0 хiv) 1 — х — 2х? <0 xv) 3x? – 7541 0. 4 Define function, domain, co-domain, range, One - one function (Injective function), Onto – function (Surjective Function), Into - function, Polynomial function, Linear Function, Identical Function, Quadratic Function. Q.5 a) Find the output of the function g(t)= 6t2+5 at i) t=0 ii) t=2 111) t= -8 b) f(x)=3x - x' and find, the domain, range also find f(g), f(x²). c) State the domain and range i) у%3D V(9 — х?) ii)y = |2x| iil) у %3D 1/(х-4) iv) y = |2x| – 1
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![Q.1 a) Sketch the following intervals on real line
i) (1, 3)
11) (1, 3]
i11)[1,00)
iv) (-0, 3)
v) [-1,1]
b) Representation of each of the following inequalities on real line:
i) x>3
11) xs2
i11) –1 <x<2
iv) x25
v) 4<x<9
v) -6 <x< 2
Q. 2 Define absolute value.
Evaluate each expression if x=8, y = 14, and z =-0. 67
i) 55 - |74 – z|
11) 30 + |z - 1
111)| 15|-z| + (x+ 2. 2)
iv)70+ |15 - y|
v) |2x| + 15 – 9
vi) 2. 7-1.4 + |z|
vii) z - 0. 2
Q. 3 solve the following inequalities
1) x| < 3
ii) |x| > 6
i11) |x – 4|<3
iv) x – 2|<5
v) |x + 1|<3
vi) x +4|22
vii) |3 – x| >1
viii) )x + 1|<0
ix) (х — 3)(х + 1) <0
x) x² + 5x + 6>0
xi) (2x – 1)(3x + 4) > 0
xii) 10x? – 19x + 6<0
xiї) 5 — 4х — х? > 0
хiv) 1 — х — 2х? <0
xv) 3x? – 7541
0. 4 Define function, domain, co-domain, range, One - one function
(Injective function), Onto – function (Surjective Function), Into -
function, Polynomial function, Linear Function, Identical Function,
Quadratic Function.
Q.5 a) Find the output of the function g(t)= 6t2+5 at
i) t=0
ii) t=2
111) t= -8
b) f(x)=3x - x' and find, the domain, range also find f(g), f(x²).
c) State the domain and range
i) у%3D V(9 — х?)
ii)y = |2x|
iil) у %3D 1/(х-4)
iv) y = |2x| – 1](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe8a4ada7-3cc8-4982-9923-f31ce65bc2ab%2Fde408c18-0ef1-413b-900d-8ef5709d749b%2Fis8iqsb.png&w=3840&q=75)
Transcribed Image Text:Q.1 a) Sketch the following intervals on real line
i) (1, 3)
11) (1, 3]
i11)[1,00)
iv) (-0, 3)
v) [-1,1]
b) Representation of each of the following inequalities on real line:
i) x>3
11) xs2
i11) –1 <x<2
iv) x25
v) 4<x<9
v) -6 <x< 2
Q. 2 Define absolute value.
Evaluate each expression if x=8, y = 14, and z =-0. 67
i) 55 - |74 – z|
11) 30 + |z - 1
111)| 15|-z| + (x+ 2. 2)
iv)70+ |15 - y|
v) |2x| + 15 – 9
vi) 2. 7-1.4 + |z|
vii) z - 0. 2
Q. 3 solve the following inequalities
1) x| < 3
ii) |x| > 6
i11) |x – 4|<3
iv) x – 2|<5
v) |x + 1|<3
vi) x +4|22
vii) |3 – x| >1
viii) )x + 1|<0
ix) (х — 3)(х + 1) <0
x) x² + 5x + 6>0
xi) (2x – 1)(3x + 4) > 0
xii) 10x? – 19x + 6<0
xiї) 5 — 4х — х? > 0
хiv) 1 — х — 2х? <0
xv) 3x? – 7541
0. 4 Define function, domain, co-domain, range, One - one function
(Injective function), Onto – function (Surjective Function), Into -
function, Polynomial function, Linear Function, Identical Function,
Quadratic Function.
Q.5 a) Find the output of the function g(t)= 6t2+5 at
i) t=0
ii) t=2
111) t= -8
b) f(x)=3x - x' and find, the domain, range also find f(g), f(x²).
c) State the domain and range
i) у%3D V(9 — х?)
ii)y = |2x|
iil) у %3D 1/(х-4)
iv) y = |2x| – 1
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