MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Continuity in an Interval

Draw the grap...

Question

Draw the graph of the function $f : R \to R$ defined by $f (x) = x^{3}, x ϵ R$ .

Open in App

Solution

Drawing diagram of function $f (x) = x^{3}, x ϵ R$
$f (x) = x^{3}, x ϵ R$ (given)
Put $x = 0, 1, - 1, 2, - 2$ we get
$f (0) = 0, f (1) = 1, f (- 1) = - 1, f (2) = 8, f (- 2) = - 8$

Suggest Corrections

thumbs-up

17

Similar questions

Q. Draw the graph of function

f : R \to R

f (x) = | x - 2 |

. Also write its domain and Range.

Q. Classify the following functions as injection, surjection or bijection :
(i) f : N → N given by f(x) = x²
(ii) f : Z → Z given by f(x) = x²
(iii) f : N → N given by f(x) = x³
(iv) f : Z → Z given by f(x) = x³
(v) f : R → R, defined by f(x) = |x|
(vi) f : Z → Z, defined by f(x) = x² + x
(vii) f : Z → Z, defined by f(x) = x − 5
(viii) f : R → R, defined by f(x) = sinx
(ix) f : R → R, defined by f(x) = x³ + 1
(x) f : R → R, defined by f(x) = x³ − x
(xi) f : R → R, defined by f(x) = sin²x + cos²x
(xii) f : Q − {3} → Q, defined by

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

(xiii) f : Q → Q, defined by f(x) = x³ + 1
(xiv) f : R → R, defined by f(x) = 5x³ + 4
(xv) f : R → R, defined by f(x) = 3 − 4x
(xvi) f : R → R, defined by f(x) = 1 + x²
(xvii) f : R → R, defined by f(x) =

\frac{x}{x^{2} + 1}

[NCERT EXEMPLAR]

\to

R be function defined by f(x) =

x^{3}

Q. Show that the function

f : R \to {x ϵ R : - 1 < x < 1}

f (x) = \frac{x}{1 + | x |} x ϵ R

is one one and onto function.

Q. Find whether the following functions are one-one , onto or not :

f : R \to R

f (x) = x^{2} + 3

x ϵ R

View More

Join BYJU'S Learning Program

explore_more_icon

Explore more

Continuity in an Interval

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon