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class 12
| maths
| getting started with graphs
Solutions for all the questions from class 12
of subject maths
of chapter getting started with graphs
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
maths
CHAPTER
definite integration
different products of vectors and their geometrical applications
differentiation
getting started with graphs
graph of inverse trigonometric functions
hyperbola
parabola
probability ii
properties and solutions of triangle
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Class 12
Maths
Calculus
Getting Started With Graphs
Does the following graph represent a function or a relation?
Class 12
Maths
Calculus
Getting Started With Graphs
Does the following graph pass the vertical or horizontal line test?
Class 12
Maths
Calculus
Getting Started With Graphs
The graph of ` y = f(x) ` is as shown in the following figure.
Find the following values:
(i) `underset(x to 4 )"lim" f(x)" "(ii) underset(x to - 3)"lim "f(x)`
` (iii) underset(x to 0^(+))"lim "f(x)" "(iv) underset(x to 0^(-))"lim " f(x)`
`(v) underset(x to 0)"lim "f(x)" "(vi) f(-2)`
`(vii) underset(x to 2^(-))"lim "f(x)" "(viii) underset(x to -2^(-))"lim "f(x)`
`(ix) underset(x to 0)"lim "f(x+1)" "(x) f(0)`
` (x i) underset(x to 0^(+))"lim "f(x-2)" "(x ii) underset(x to 1^(-))"lim " f(x-4)`
Class 12
Maths
Calculus
Getting Started With Graphs
For the function g whose graph is given. Arrange the following numbers in increasing order and explain your reasoning.
`g(0), g'(-2), g'(0), g'(2), g'(4)`
Class 12
Maths
Calculus
Getting Started With Graphs
The graph of a function is shown in the following figure.
Determine the intervals on which the function is concave up and the intervals on which it is concave down. Find the x - coordinates of any inflection points.
Class 12
Maths
Calculus
Getting Started With Graphs
The graph of f(x) is given. State with reasons the number at which the function is non-differentiable.
Class 12
Maths
Calculus
Getting Started With Graphs
Consider the graph of y = f(x) as shown in the following figure.
(i) Find the sum of the roots of the equation f (x) = 0.
(ii) Find the product of the roots of the equation f(x) = 4.
(iii) Find the absolute value of the difference of the roots of the equation f(x) = x+2 .
Class 12
Maths
Calculus
Getting Started With Graphs
Does the following graph pass the vertical or horizontal line test ?
Class 12
Maths
Calculus
Getting Started With Graphs
Following is the graph of y = f' (x) , given that f(c) = 0. Analyse the graph and answer the following questions.
(a) How many times the graph of y = f(x) will intersect the x - axis?
(b) Discuss the type of roots of the equation f (x) = 0, ` a le x le b`.
(c) How many points of inflection the graph of ` y = f(x), a le x le b`, has?
(d) Find the points of local maxima/minima of` y = f(x), a lt x b`.
(e) How many roots equation ` f''(x) = 0` has?
Class 12
Maths
Calculus
Getting Started With Graphs
The graph of functions are given in the following fingure. Discuss the symmetry.
1
2
3
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class 12
| maths
| getting started with graphs
Solutions for all the questions from class 12
of subject maths
of chapter getting started with graphs
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
30
JEE MAINS
Crash Course
●LIVE
Classes starting
15
^{th}
June 2021
30 Students | 90 Days | 24x7 Video Doubt Support
₹16000
₹8000
KNOW MORE
Filter Results
CLASS
11
12
class 10
class 11
class 12
class 13
class 6
class 7
class 8
class 9
SUBJECT
maths
CHAPTER
definite integration
different products of vectors and their geometrical applications
differentiation
getting started with graphs
graph of inverse trigonometric functions
hyperbola
parabola
probability ii
properties and solutions of triangle
Class 12
Maths
Calculus
Getting Started With Graphs
Does the following graph represent a function or a relation?
Class 12
Maths
Calculus
Getting Started With Graphs
Does the following graph pass the vertical or horizontal line test?
Class 12
Maths
Calculus
Getting Started With Graphs
The graph of ` y = f(x) ` is as shown in the following figure.
Find the following values:
(i) `underset(x to 4 )"lim" f(x)" "(ii) underset(x to - 3)"lim "f(x)`
` (iii) underset(x to 0^(+))"lim "f(x)" "(iv) underset(x to 0^(-))"lim " f(x)`
`(v) underset(x to 0)"lim "f(x)" "(vi) f(-2)`
`(vii) underset(x to 2^(-))"lim "f(x)" "(viii) underset(x to -2^(-))"lim "f(x)`
`(ix) underset(x to 0)"lim "f(x+1)" "(x) f(0)`
` (x i) underset(x to 0^(+))"lim "f(x-2)" "(x ii) underset(x to 1^(-))"lim " f(x-4)`
Class 12
Maths
Calculus
Getting Started With Graphs
For the function g whose graph is given. Arrange the following numbers in increasing order and explain your reasoning.
`g(0), g'(-2), g'(0), g'(2), g'(4)`
Class 12
Maths
Calculus
Getting Started With Graphs
The graph of a function is shown in the following figure.
Determine the intervals on which the function is concave up and the intervals on which it is concave down. Find the x - coordinates of any inflection points.
Class 12
Maths
Calculus
Getting Started With Graphs
The graph of f(x) is given. State with reasons the number at which the function is non-differentiable.
Class 12
Maths
Calculus
Getting Started With Graphs
Consider the graph of y = f(x) as shown in the following figure.
(i) Find the sum of the roots of the equation f (x) = 0.
(ii) Find the product of the roots of the equation f(x) = 4.
(iii) Find the absolute value of the difference of the roots of the equation f(x) = x+2 .
Class 12
Maths
Calculus
Getting Started With Graphs
Does the following graph pass the vertical or horizontal line test ?
Class 12
Maths
Calculus
Getting Started With Graphs
Following is the graph of y = f' (x) , given that f(c) = 0. Analyse the graph and answer the following questions.
(a) How many times the graph of y = f(x) will intersect the x - axis?
(b) Discuss the type of roots of the equation f (x) = 0, ` a le x le b`.
(c) How many points of inflection the graph of ` y = f(x), a le x le b`, has?
(d) Find the points of local maxima/minima of` y = f(x), a lt x b`.
(e) How many roots equation ` f''(x) = 0` has?
Class 12
Maths
Calculus
Getting Started With Graphs
The graph of functions are given in the following fingure. Discuss the symmetry.
1
2
3
Previous
page
1 / 1
You're on page
1
Next
page
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