Q: Find the increasing or decreasing interval of f\left ( x \right ) = \sqrt{x - 1} + 2

\begin{align}&\textrm{The increasing interval is}\textrm{ }x\geq 1\\&\textrm{No decreasing interval}\end{align}

Q: Find the vertical asymptotes of f\left ( x \right ) = \sqrt{x - 1} + 2

\textrm{No vertical asymptotes}

Q: Find the horizontal asymptotes of f\left ( x \right ) = \sqrt{x - 1} + 2

\textrm{No horizontal asymptotes}

Q: Testing for symmetry about the origin of f\left ( x \right ) = \sqrt{x - 1} + 2

\textrm{Not symmetry with respect to the origin}

Q: Testing for symmetry about the x-axis of f\left ( x \right ) = \sqrt{x - 1} + 2

\textrm{Not symmetry with respect to the x-axis}

Q: Testing for symmetry about the y-axis of f\left ( x \right ) = \sqrt{x - 1} + 2

\textrm{Not symmetry with respect to the y-axis}

Question 1

Find the inverse of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

f^{-1}\left(x\right) = x^{2}-4x+5

Question 2

Evaluate the derivative of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

f^{\prime}\left(x\right)=\frac{1}{2\sqrt{x-1}}

Question 3

Find the domain of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

Question 4

ext{Find the }x	ext{-intercept/zero} of f\left ( x ight ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{No x-intercept}

Question 5

Find the y-intercept of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{No y-intercept}

Question 6

Find the critical numbers of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

Question 7

Find the local extrema of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{No local extrema}

Question 8

Find the increasing or decreasing interval of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

\begin{align}& extrm{The increasing interval is} extrm{ }x\geq 1\& extrm{No decreasing interval}\end{align}

Question 9

Find the range of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

f\left(x\right)\geq 2

Question 10

Find the vertical asymptotes of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{No vertical asymptotes}

Question 11

Find the horizontal asymptotes of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{No horizontal asymptotes}

Question 12

Find the oblique asymptotes of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{No oblique asymptotes}

Question 13

Determine if even, odd or neither of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{Neither even nor odd}

Question 14

Find the stationary points of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

ext{No stationary points}

Question 15

Find the inflection points of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{No inflection points}

Question 16

Testing for symmetry about the origin of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{Not symmetry with respect to the origin}

Question 17

Testing for symmetry about the x-axis of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{Not symmetry with respect to the x-axis}

Question 18

Testing for symmetry about the y-axis of f\left ( x \right ) = \sqrt{x - 1} + 2

Accepted Answer

extrm{Not symmetry with respect to the y-axis}

f ( x ) = sqrtx - 1 + 2

Function

Testing for symmetry

Graph

Frequently Asked Questions

Find the inverse of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Evaluate the derivative of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the domain of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

$Find the x -intercept/zero$ of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the y-intercept of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the critical numbers of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the local extrema of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the increasing or decreasing interval of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the range of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the vertical asymptotes of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the horizontal asymptotes of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the oblique asymptotes of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Determine if even, odd or neither of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the stationary points of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Find the inflection points of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Testing for symmetry about the origin of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Testing for symmetry about the x-axis of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)

Testing for symmetry about the y-axis of \(f\left ( x \right ) = \sqrt{x - 1} + 2\)