Recent questions tagged p159

Is the function $f (x) = 5x – 3$ continuous at $x=5$?

asked Apr 4, 2013 by balaji.thirumalai

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Is the function $f (x) = 5x – 3$ continuous at $x=-3$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Is the function $f(x) = 5x-3$ continous at $x=0$?

asked Apr 4, 2013 by balaji.thirumalai

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Is the function defined by $ f(x) = \left\{ \begin{array} {1 1} x + 5 ,& \quad\text{ if $ x $ $\leq 1$}\\ x - 5,& \quad \text{if $x$ > 1}\\ \end{array} \right. $ a continuous function?

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$fined by $ f(x) = \left\{ \begin{array} {1 1} x^{10} -1 ,& \quad\text{ if $ x $ $\leq 1$}\\ x^2,& \quad \text{if $x$ > 1}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} x^3-3 ,& \quad\text{ if $ x $ $\leq 2$}\\ x^2+1,& \quad \text{if $x$ > 2}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} x + 1,& \quad\text{ if $ x $ $\geq 1$}\\ x^2+1,& \quad \text{if $x$ < 1}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} \large \frac x { |\;x\;| },& \quad\text{ if $x$ < 0 }\\ -1 ,& \quad \text{if $x$ $ \geq 0$}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} \large \frac{ |\;x\;| }x,& \quad\text{ if x $\neq$ 0 }\\ 0 ,& \quad \text{if $x$ =0}\\ \end{array} \right. $

asked Nov 9, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} |\;x\;| + 3,& \quad\text{ if $ x $ $\leq -3$}\\ -2x ,& \quad \text{if $-3$ <x< 3}\\ 6x+2, & \quad\text{if $x$ $\geq 3$}\\ \end{array} \right. $

asked Nov 8, 2012 by thanvigandhi_1

1 answer

Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} 2x + 3,& \quad\text{ if $ x $ $\leq 2$}\\ 2x - 3,& \quad \text{if $x$ > 1}\\ \end{array} \right. $

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Is the function f defined by $f(x) = \left\{\begin{array}{l l} x, & \quad \text{if $x$ $ \leq $ 1}\\ 5, & \quad \text{if $x$ > 1}\\ \end{array} \right.$ continuous at $(x = 0)$? At $(x = 1)$? At $(x = 2)$?

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Examine the following functions for continuity. $f(x) = | \;x - 5\;|$

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Examine the following functions for continuity $\; f(x) = \large \frac {x^2 - 25} {x + 5}$$, x\:\neq\: -5$

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Examine the following functions for continuity. $f(x) = \frac {1} { x - 5}, x \: \neq \: 5 $

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Examine the following functions for continuity. $f(x) = x-5$

asked Nov 6, 2012 by thanvigandhi_1

1 answer

Prove that the function $ f (x) = x^n $ is continuous at $ x = n $, where n is a positive integer.

asked Nov 5, 2012 by thanvigandhi_1

1 answer

Examine the continuity of the function $f (x) = 2x^2 - 1$ at $x = 3$

asked Nov 5, 2012 by thanvigandhi_1

1 answer

Prove that the function $f (x) = 5x-3$ is continuous at $x=0$, $x=-3$ and $x=5$.

asked Nov 5, 2012 by thanvigandhi_1

1 answer

Ask Questions, Get Answers

Is the function $f (x) = 5x – 3$ continuous at $x=5$?

Is the function $f (x) = 5x – 3$ continuous at $x=-3$

Is the function $f(x) = 5x-3$ continous at $x=0$?

Is the function defined by $ f(x) = \left\{ \begin{array} {1 1} x + 5 ,& \quad\text{ if $ x $ \(\leq 1\)}\\ x - 5,& \quad \text{if $x$ > 1}\\ \end{array} \right. $ a continuous function?

Find all points of discontinuity of $f$, where $f$fined by $ f(x) = \left\{ \begin{array} {1 1} x^{10} -1 ,& \quad\text{ if $ x $ \(\leq 1\)}\\ x^2,& \quad \text{if $x$ > 1}\\ \end{array} \right. $

Find all points of discontinuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} x^3-3 ,& \quad\text{ if $ x $ \(\leq 2\)}\\ x^2+1,& \quad \text{if $x$ > 2}\\ \end{array} \right. $

Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} x + 1,& \quad\text{ if $ x $ \(\geq 1\)}\\ x^2+1,& \quad \text{if $x$ < 1}\\ \end{array} \right. $

Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} \large \frac x { |\;x\;| },& \quad\text{ if \(x\) < 0 }\\ -1 ,& \quad \text{if $x$ \( \geq 0\)}\\ \end{array} \right. $

Find all points of discontinuity of $f$, where $f$ is defined by $ f(x) = \left\{ \begin{array} {1 1} \large \frac{ |\;x\;| }x,& \quad\text{ if x \(\neq\) 0 }\\ 0 ,& \quad \text{if $x$ =0}\\ \end{array} \right. $

Find all points of discontinuity of \(f\), where \(f\) is defined by $ f(x) = \left\{ \begin{array} {1 1} |\;x\;| + 3,& \quad\text{ if $ x $ \(\leq -3\)}\\ -2x ,& \quad \text{if $-3$ <x< 3}\\ 6x+2, & \quad\text{if $x$ \(\geq 3\)}\\ \end{array} \right. $

Find all points of discontinuity of $f$, where $f$ is defined by $f(x) = \left\{ \begin{array} {1 1} 2x + 3,& \quad\text{ if $ x $ \(\leq 2\)}\\ 2x - 3,& \quad \text{if $x$ > 1}\\ \end{array} \right. $

Is the function f defined by $f(x) = \left\{\begin{array}{l l} x, & \quad \text{if $x$ \( \leq \) 1}\\ 5, & \quad \text{if $x$ > 1}\\ \end{array} \right.$ continuous at $(x = 0)$? At $(x = 1)$? At $(x = 2)$?

Examine the following functions for continuity. $f(x) = | \;x - 5\;|$

Examine the following functions for continuity $\; f(x) = \large \frac {x^2 - 25} {x + 5}$$, x\:\neq\: -5$

Examine the following functions for continuity. $f(x) = \frac {1} { x - 5}, x \: \neq \: 5 $

Examine the following functions for continuity. $f(x) = x-5$

Prove that the function \( f (x) = x^n \) is continuous at \( x = n \), where n is a positive integer.

Examine the continuity of the function $f (x) = 2x^2 - 1$ at $x = 3$

Prove that the function $f (x) = 5x-3$ is continuous at $x=0$, $x=-3$ and $x=5$.